math problem solver for 4th grade

$Mr. Mathematica gave his class these digits: 1, 5, 7, 9, 2, 8, and 5. He asked them to make the smallest number possible using every digit once. What would that number be?$

4. The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, , . What are the last two numbers they should punch in?

$The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, __, __. What are the last two numbers they should punch in?$

5. Tom’s bicycle cost $50 more than Bob’s bicycle. Bob’s bicycle cost $180. How much did Tom’s bicycle cost?

$Tom’s bicycle cost $50 more than Bob’s bicycle. Bob’s bicycle cost $180. How much did Tom’s bicycle cost?$

6. Randy bought 2 baseball hats for $5.25 each. He also bought 2 wrist bands for $2.50 each. How much money did he spend?

$Randy bought 2 baseball hats for $5.25 each. He also bought 2 wrist bands for $2.50 each. How much money did he spend?$

7. Lots of birds were spotted at the new bird feeder. There were 12 sparrows, 15 crows, 8 orioles, 3 squirrels, and 9 cardinals. How many birds were there in all?

$Lots of birds were spotted at the new bird feeder. There were 12 sparrows, 15 crows, 8 orioles, 3 squirrels, and 9 cardinals. How many birds were there in all?$

8. There were lots of visitors to the town history museum this past winter. There were 75 in December, 98 in January, and 69 in February. How many visitors did the museum have this past winter in total?

$There were lots of visitors to the town history museum this past winter. There were 75 in December, 98 in January, and 69 in February. How many visitors did the museum have this past winter in total?$

9. Luis was setting up his new office. He bought a new computer for $350. He also bought a printer for $99 and two ink cartridges for $37 each. How much did he spend?

$Luis was setting up his new office. He bought a new computer for $350. He also bought a printer for $99 and two ink cartridges for $37 each. How much did he spend?$

10. There was a big sale at the Super Duper Shoe Store for 3 days. They sold 87 pairs of shoes on Friday, 95 pairs of shoes on Saturday, and 83 pairs of shoes on Sunday. How many pairs of shoes were sold all together?

$There was a big sale at the Super Duper Shoe Store for 3 days. They sold 87 pairs of shoes on Friday, 95 pairs of shoes on Saturday, and 83 pairs of shoes on Sunday. How many pairs of shoes were sold all together?$

11. Pia had a huge sticker collection. She had 280 stickers. Her friend, Jen, had 155 stickers in her collection. How many more stickers did Pia have than Jen?

$math problem solver for 4th grade$

12. Robyn scored a total of 155 points in basketball this season for the Tarrytown Tigers. She had 30 rebounds as well. Last season she scored 106 points. How many more points did she score this season than last season?

$Robyn scored a total of 155 points in basketball this season for the Tarrytown Tigers. She had 30 rebounds as well. Last season she scored 106 points. How many more points did she score this season than last season?$

13. John went to lunch at the Cool Cat Cafe. He spent $1.25 on a juice drink and $5.50 on a sandwich. He also bought a brownie for 99 cents. He gave the cashier a $20 bill. How much change did he get?

$John went to lunch at the Cool Cat Cafe. He spent $1.25 on a juice drink and $5.50 on a sandwich. He also bought a brownie for 99 cents. He gave the cashier a $20 bill. How much change did he get?$

14. Race Car Ralph drove 1,000 miles in the big cross-country auto race. 775 of those miles were with his dog, Speedy, in the car. The rest of the way, he drove alone. How many miles did Ralph drive without Speedy?

$Race Car Ralph drove 1,000 miles in the big cross-country auto race. 775 of those miles were with his dog, Speedy, in the car. The rest of the way, he drove alone. How many miles did Ralph drive without Speedy?$

15. Best Baked Bakery baked 10,250 holiday cookies. They sold almost all of them. Only 56 were left. How many holiday cookies did they sell?

$Best Baked Bakery baked 10,250 holiday cookies. They sold almost all of them. Only 56 were left. How many holiday cookies did they sell?$

16. There were 3 cats and 4 geese in the barnyard. How many total legs were there?

$There were 3 cats and 4 geese in the barnyard. How many total legs were there?$

17. Donna picks 5 apples every minute in the orchard. How many apples does she pick in 20 minutes?

$Donna picks 5 apples every minute in the orchard. How many apples does she pick in 20 minutes?$

18. Morris the magician pulled 2 doves out of his hat, twice as many rabbits as doves, and 4 times as many mice as rabbits. How many animals did he pull out of his hat?

$Morris the magician pulled 2 doves out of his hat, twice as many rabbits as doves, and 4 times as many mice as rabbits. How many animals did he pull out of his hat?$

19. Tina is making pizzas for 15 guests. If each person (including Tina) is expected to eat 2 slices, how many 8-slice pizzas should Tina make?

$Tina is making pizzas for 15 guests. If each person (including Tina) is expected to eat 2 slices, how many 8-slice pizzas should Tina make?$

20. Chef Charlie is decorating a birthday cake with a circle of berries. He has 6 strawberries and would like to put 5 blueberries between each strawberry. How many blueberries does he need?

$Chef Charlie is decorating a birthday cake with a circle of berries. He has 6 strawberries and would like to put 5 blueberries between each strawberry. How many blueberries does he need?$

22. To make a winter stew, Jamal needs 3 pounds of sweet potatoes. If they cost $1.29 per pound, what will it cost to buy enough sweet potatoes?

$To make a winter stew, Jamal needs 3 pounds of sweet potatoes. If they cost $1.29 per pound, what will it cost to buy enough sweet potatoes?$

22. The Hotel Swanky has 10 floors. Each floor has 16 guest rooms. There is also a ballroom, two meeting rooms, and a restaurant. How many guest rooms are in the hotel?

$The Hotel Swanky has 10 floors. Each floor has 16 guest rooms. There is also a ballroom, two meeting rooms, and a restaurant. How many guest rooms are in the hotel?$

23. Mrs. Mason got a new bookcase for the library and filled it with books. There were 6 shelves. The top two shelves had 50 books on each shelf. The bottom four shelves had 75 books on each shelf. How many books were there in the new bookcase?

$Mrs. Mason got a new bookcase for the library and filled it with books. There were 6 shelves. The top two shelves had 50 books on each shelf. The bottom four shelves had 75 books on each shelf. How many books were there in the new bookcase?$

24. The cafeteria ordered 6 packs of jumbo chocolate chip cookies and 3 packs of brownies. Each pack of cookies had 12 cookies in it. They sold 45 cookies and 30 brownies. How many cookies are left?

$The cafeteria ordered 6 packs of jumbo chocolate chip cookies and 3 packs of brownies. Each pack of cookies had 12 cookies in it. They sold 45 cookies and 30 brownies. How many cookies are left?$

25. The new elementary school has 30 desks in each classroom. There are four classrooms for each grade. There are 5 grades in the school. How many desks are there in the school?

$The new elementary school has 30 desks in each classroom. There are four classrooms for each grade. There are 5 grades in the school. How many desks are there in the school?$

26. Gina planted six rows of carrots in her garden. Each row had 30 carrots. Rabbits ate half of her carrots. How many carrots did she have left?

$Gina planted six rows of carrots in her garden. Each row had 30 carrots. Rabbits ate half of her carrots. How many carrots did she have left?$

27. Jack planted a magic bean. The bean plant that grew was 1 foot tall on the first day. Then it doubled in height each day. How tall was the plant on the fifth day?

$Jack planted a magic bean. The bean plant that grew was 1 foot tall on the first day. Then it doubled in height each day. How tall was the plant on the fifth day?$

28. Big Brain University bought 15 new supercomputers and 50 printers. Each supercomputer cost $5,300. A printer cost $100. How much did the university spend buying new computers?

$Big Brain University bought 15 new supercomputers and 50 printers. Each supercomputer cost $5,300. A printer cost $100. How much did the university spend buying new computers?$

29. The new golf course had 3 tournaments every month this year. The course is open 12 months a year. Each tournament was limited to 101 golfers and was full. How many golfers played in the tournaments all together this year?

$The new golf course had 3 tournaments every month this year. The course is open 12 months a year. Each tournament was limited to 101 golfers and was full. How many golfers played in the tournaments all together this year?$

30. The school office printer can print 200 pages every 10 minutes. If the printer runs for an hour straight, how many pages can it print?

$The school office printer can print 200 pages every 10 minutes. If the printer runs for an hour straight, how many pages can it print?$

31. Lucia makes beaded bracelets. Each bracelet has 12 beads on it. She made 55 bracelets for each of the school fairs. The school had 3 fairs. How many bracelets did Lucia make?

$Lucia makes beaded bracelets. Each bracelet has 12 beads on it. She made 55 bracelets for each of the school fairs. The school had 3 fairs. How many bracelets did Lucia make?$

32. Sammy Speedball is a pitcher for the Boogaloo Bearcats. He practiced his pitching on Saturday for an hour in the morning and an hour after dinner. He threw 20 pitches every 30 minutes. How many practice pitches did Sammy throw on Saturday?

$Sammy Speedball is a pitcher for the Boogaloo Bearcats. He practiced his pitching on Saturday for an hour in the morning and an hour after dinner. He threw 20 pitches every 30 minutes. How many practice pitches did Sammy throw on Saturday?$

33. Serena had 35 cherries. She gave 8 to each of her sisters. She still has 3 left over. How many sisters does Serena have?

$Serena had 35 cherries. She gave 8 to each of her sisters. She still has 3 left over. How many sisters does Serena have?$

34. The new teacher was giving out pencils to her class for the year. She wanted to give them out evenly. She had 15 packs of pencils with 10 pencils in each pack. She had 20 students. How many pencils should each student get? How many pencils would be left over?

$The new teacher was giving out pencils to her class for the year. She wanted to give them out evenly. She had 15 packs of pencils with 10 pencils in each pack. She had 20 students. How many pencils should each student get? How many pencils would be left over?$

35. 150 kids signed up for the summer soccer league. There are going to be ten teams, and the Dragons are one of the teams. Each team has 3 coaches and they want an equal number of players on each team. How many players should be on the Dragons?

36. the wonderful widget company produces 480 widgets every day. they have 6 widget making machines running every day, with each machine making equal amounts of widgets. the company runs six days a week. how many widgets does each machine make.

$The Wonderful Widget Company produces 480 widgets every day. They have 6 widget making machines running every day, with each machine making equal amounts of widgets. The company runs six days a week. How many widgets does each machine make?$

37. Farmer Fran has 35 hens. Each hen lays a dozen eggs a day. Fran packs the eggs into packs of ten. How many packs of eggs does she pack per day?

$Farmer Fran has 35 hens. Each hen lays a dozen eggs a day. Fran packs the eggs into packs of ten. How many packs of eggs does she pack per day?$

38. ReadOn Publishers gives free books to schools every year on the last day of the year. They have 900 books for this year’s giveaway. 18 schools have applied for the free books. How many should each school get if they are evenly distributed?

$ReadOn Publishers gives free books to schools every year on the last day of the year. They have 900 books for this year’s giveaway. 18 schools have applied for the free books. How many should each school get if they are evenly distributed?$

39. Coach Cindy is meeting with each player for practice individually. Each player will get 15 minutes with the coach. Coach Cindy has 2 hours for this on Saturday. How many players can she meet with?

$Coach Cindy is meeting with each player for practice individually. Each player will get 15 minutes with the coach. Coach Cindy has 2 hours for this on Saturday. How many players can she meet with?$

40. Dr. Bea Well has 120 patients. ¼ of them wear glasses. How many of her patients don’t wear glasses?

$Dr. Bea Well has 120 patients. ¼ of them wear glasses. How many of her patients don’t wear glasses?$

41. Lucy has 24 stuffed animals. She loves elephants, and one-third of her stuffed animals are elephants. Half of the elephants are gray. How many elephants does she have?

$Lucy has 24 stuffed animals. She loves elephants, and one-third of her stuffed animals are elephants. Half of the elephants are gray. How many elephants does she have?$

42. Annie collects seashells. She has 120 shells in her collection. They are from both the Atlantic Ocean and the Pacific Ocean. ¾ of the shells are from the Atlantic Ocean. How many shells are from the Pacific Ocean?

$Annie collects seashells. She has 120 shells in her collection. They are from both the Atlantic Ocean and the Pacific Ocean. ¾ of the shells are from the Atlantic Ocean. How many shells are from the Pacific Ocean?$

43. Bill has 7/8 of his homework done. Andy has 9/10 of his homework done. They have the same amount of homework. Who has more homework done?

$Bill has 7/8 of his homework done. Andy has 9/10 of his homework done. They have the same amount of homework. Who has more homework done?$

44. Jose was offered 2/5 of a jumbo chocolate bar or 3/6 of the same bar. He loves chocolate. Which should he choose if he wants the most chocolate?

$Jose was offered 2/5 of a jumbo chocolate bar or 3/6 of the same bar. He loves chocolate. Which should he choose if he wants the most chocolate?$

45. Janelle has 6 notebooks for school. Donnie has 1/3 more than Janelle. How many notebooks do Janelle and Donnie have all together?

$Janelle has 6 notebooks for school. Donnie has 1/3 more than Janelle. How many notebooks do Janelle and Donnie have all together?$

46. Tonya found two small interesting stones. The black one weighs 0.3 of an ounce. The red one weighs 0.09 of an ounce. Which stone weighs more?

$Tonya found two small interesting stones. The black one weighs 0.3 of an ounce. The red one weighs 0.09 of an ounce. Which stone weighs more?$

47. Leah has a baseball bat that is 2 and a half feet long. Bryson has a bat that is 28 inches long and another one that is 2 feet and 5 inches long. Who has the longest bat?

$Leah has a baseball bat that is 2 and a half feet long. Bryson has a bat that is 28 inches long and another one that is 2 feet and 5 inches long. Who has the longest bat?$

48. Mr. Smith’s class collected coins in a big jar for 6 months. Their coins weighed 2 pounds and 8 ounces. Ms. Smith’s class did the same thing. Their coins weighed 2 ½ pounds. Whose coins weighed more?

$Mr. Smith’s class collected coins in a big jar for 6 months. Their coins weighed 2 pounds and 8 ounces. Ms. Smith’s class did the same thing. Their coins weighed 2 ½ pounds. Whose coins weighed more?$

49. The track team was practicing for the big meet. Tim ran for 25 minutes every day for 5 days. Tom ran an hour every day for 3 days. Who spent the most time running?

$The track team was practicing for the big meet. Tim ran for 25 minutes every day for 5 days. Tom ran an hour every day for 3 days. Who spent the most time running?$

50. The Jones family left for the airport at 10:00 a.m. for vacation. Their flight leaves at 12:30 p.m. They stopped twice for 10 minutes each time. They got to the airport at 11:30 p.m. How much time did they spend driving?

$The Jones family left for the airport at 10:00 a.m. for vacation. Their flight leaves at 12:30 p.m. They stopped twice for 10 minutes each time. They got to the airport at 11:30 p.m. How much time did they spend driving?$

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4th grade math skills: Find out what you need to know for your student

In fourth grade , students focus most on using all four operations - addition, subtraction, multiplication, and division - to solve multi-step word problems involving multi-digit numbers. Fourth-grade math extends their understanding of fractions, including equal (equivalent) fractions and ordering fractions. They add and subtract fractions with the same denominator (bottom number), multiply fractions by whole numbers and understand relationships between fractions and decimals.

Addition, subtraction, multiplication & division

Multi-digit whole numbers

Quickly and accurately, add and subtract multi-digit whole numbers up to 1 million (1,000,000).

Understand factors – whole numbers (numbers without fractions) that can be multiplied together to get another number. Understand that one number can have several factor pairs – for example, 3 and 4 are factors of 12 (3 x 4 = 12), and so are 2 and 6 (2 x 6 = 12), and 1 and 12 (1 x 12 = 12).

Understand a prime number as having only one factor pair: one and itself.

Parenting Guides 4th grade math tips: Here's how to help your student

Relationship to place value

Read, write, and compare multi-digit whole numbers, understanding that the value of a digit is ten times what it would be in the place to its right – for example, seven is 10 times greater than 0.7. Use understanding of place value to round multi-digit whole numbers to any place.

Multiply a number of up to four digits by any one-digit number and multiply two two-digit numbers. Divide a number of up to four digits by any one-digit number, including problems with remainders. Explain and illustrate using equations and visual rectangular models.

Two hundred fifty doughnuts are divided evenly among six classrooms, How many doughnuts will each classroom receive, and how many doughnuts are left over for the principal?

parenting-guides 4th Grade Parenting Guides

Word problems

Solve multi-step word problems with whole numbers, using addition, subtraction, multiplication, and division problems with remainders. Use mental math and estimation strategies (such as rounding) to check how reasonable an answer is. Write equations for these problems with a letter standing for the unknown quantity.

A rectangular field has a perimeter of 400 yards. The field has a length of 125 yards and a width of w yards. Find w. 400 = 125 + 125 + w + w.

How to Master Math: Fractions

Breaking down fractions

Break fractions down into smaller fractions that have the same denominator (bottom number) in various ways.

3/4 = 1/4 + 1/4 + 1/4

3/4 = 1/4 + 2/4

Adding and subtracting

Add and subtract fractions with the same denominator (bottom number).

5/8 + 2/8 = 7/8

7/8 - 5/8 = 2/8

Working With mixed numbers

Add and subtract mixed numbers with the same denominators.

1 1/6 + 2 4/6 = 3 5/6

Equivalent fractions

Using visual fraction models – number lines, fraction bars (see example below), understand how fractions can be equal (equivalent) even when the number and size of the parts (the numerators and denominators) are different. Recognize and create equal (equivalent) fractions – for example: 2⁄4 = 1⁄2 (or 2⁄4 = 1⁄4 + 1⁄4).

Numerators and denominators

Compare two fractions with different numerators (top numbers) and different denominators (bottom numbers) by changing one or both fractions so that they both have the same denominator. For example, in comparing 3⁄8 and 4⁄16, use visual fraction models to understand that 4⁄16 is the same as 2⁄8.

3/8 > 2/8 so 3/8 > 4/16

Comparing numerators

Understand that in comparing two fractions with the same denominator, the larger fraction is the one with the larger numerator.

Multiply fraction by whole number

Solve word problems involving multiplication of fractions by a whole number.

Mary wants to make bows for six friends. Each bow requires 5⁄8 of a yard of ribbon. How many yards of ribbon does Mary need?

Fractions as decimals

Write fractions with denominators of 10 or 100 as decimals.

Write 4/10 as 0.4

Write 0.83 as 83/100

Comparing fractions and decimals

Compare numbers written as fractions and numbers written as decimals, using the symbols > (greater than), = (equal to), and < (less than). Use visual models such as fraction bars or number lines to explain and justify the answer.

Measurement & data

Solve word problems involving addition, subtraction, multiplication, and division of:

Practice converting larger units to smaller units by multiplying. For example, three hours = 3×60 = 180 minutes.

Emma studied for one hour. Ethan studied for 15 minutes. What is the difference in the number of minutes they studied? Emma's study session was how many times longer than Ethan's?

Understand perimeter as the measurement around something, and area as the measurement of the flat surface inside the perimeter of something. Find perimeter and area to solve real-world cost problems.

Juan wants to carpet his bedroom. His bedroom is two yards wide and five yards long. The carpeting costs $7 per square yard. How much will Juan’s new carpet cost? Explain or illustrate how you solved this problem.

Juan decides to put a decorative border high all the way around his room near the top of the walls. The border costs $3 per yard. How much will the border cost? Explain or illustrate how you solved this problem.

Tip: Use math in house projects

Encourage your child to use his math skills for projects around the house. If you’re wallpapering or carpeting, for example, have him calculate wall or floor areas and figure out the total cost of various materials.

How to Master Math: Geometry

Lines and angles

Draw and identify different types of lines and angles, including line segments, rays, parallel lines, perpendicular lines, and right angles. Use the presence or absence of these lines or angles to categorize or group (classify) two-dimensional shapes or figures such as rectangles, parallelograms, trapezoids, and triangles.

Tip: Keep an eye out for math concepts

Encourage your child to spot examples of some of the math concepts he is learning about. See how many right angles or right triangles he can spot. Or have him look for parallel lines, such as train tracks or pillars in a building.

Lines of symmetry

Understand line of symmetry: a line across a two-dimensional figure such that the figure can be folded along the line into identical matching parts. Identify the most common symmetrical shapes: circles, squares, rectangles, ovals, equilateral triangles (three equal sides), isosceles triangles (two equal sides), hexagons, and octagons.

For tips to help your fourth-grader in math class, check out our fourth grade math tips page .

TODAY's Parenting Guides resources were developed by NBC News Learn with the help of subject-matter experts, and align with the Common Core State Standards.

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Prepare problems and use them in whole-class instruction.

Assist students in monitoring and reflecting on the problem-solving process.

Teach students how to use visual representations.

Expose students to multiple problem-solving strategies.

Help students recognize and articulate mathematical concepts and notation.

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This practice guide was prepared for the WWC by Mathematica under contract ED-07-CO-0062.

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Home / United States / Math Classes / 4th Grade Math

4th Grade Math

Fourth grade math students start learning complex math concepts based on the concepts they have already learned in earli er grades. They will learn to perform multiplication and division on bigger numbers and learn about concepts like fractions, area and perimeter in detail. Fourth graders need to practice these concepts to retain everything they have learned. They can make use of the resources and free online classes offered by BYJU’S Math to improve their performance in math. ...Read More Read Less

Grade 4 Math Curriculum

Place value concept.

Grade 4 uses the concept of place value to expand the learner’s knowledge of numbers to larger numbers. Once students learn the concept of place value, it is easy to get acquainted with bigger numbers.

Concept of Place Value

Different forms to represent numbers, numbers in words, 1 million means, million billion trillion, comparison of numbers using place value, greater than symbol, less than symbol, greater than and less than symbol, use of place value to round numbers, place value.

Place value determines the value of a digit in a number by virtue of its position. Fourth grade math students need to learn the concept of place values to easily perform operations with larger numbers.

A number can be represented in multiple ways. Math students in fourth grade need to be familiar with all of these ways be it using numerals, place value or the expanded form.

Here, students will learn to compare two large numbers using the decimal place value system.

Learners are introduced to the sign of equality as the representation of a balanced equation.

Rounding off numbers is an important skill to estimate the value of numbers. Fourth grade students will learn how to apply this strategy to mentally solve math problems in an effective manner.

Add and Subtract Multi-Digit Numbers

Fourth grade math students are already familiar with the addition and subtraction operations. Here, they will learn to perform addition and subtraction of multi-digit numbers using standard methods and solve challenging real life word problems.

Concept of operations on Multi-digit Numbers using rounding

Addition operation on multi-digit numbers, subtraction operation on multi-digit numbers, strategies for addition & subtraction on multi-digit numbers, two step addition & subtraction, operations on multi-digit numbers using rounding.

Solving problems mentally and developing good estimation skills requires students to operate on numbers using rounding off as a method. It is essential to expose learners to operate on numbers using rounding; this will encourage them to participate actively in daily activities like checking bills, making budgets, etc.

In this section, fourth graders will extend the concept of addition to include larger numbers. This time the emphasis will also be on standard methods and using the properties of addition.

Once students are familiar with the addition operation, learning subtraction is easy, as it is the inverse operation of addition. Here, fourth graders will perform subtraction operations on multi-digit numbers using standard algorithms and subtraction properties.

Once learners have understood multiplication as the ‘times’ concept using single digits, they are then encouraged to extend this understanding to larger numbers. Here, fourth graders will learn to multiply a two or more than two digit number with a single-digit number. This will be done using real life problems situations along with multiplication properties.

Concept of multiplication of One-digit number

Comparison of two numbers using multiplication, multiplication of numbers using place value, concept of multiplication operation on one-digit number using property and models, measuring area using distributive property, concept of operation on multiplication of one-digit number of partial products, multiplication using rounding of numbers, multiplication of one-digit numbers using expanded form, concept of multiplication of multi-digit numbers with one-digit numbers, multiplication of single-digit numbers.

Multiplication is essentially the ‘times’ concept or repeated addition. Instead of adding the same number a certain number of times, we can multiply the number to find the product. Here, students will learn to multiply any number with a single-digit number.

Students will learn how big or small a given value is as compared to the product of the other value with a specific number.

Students can simplify multiplication operations by applying the concept of place value.

Multiplication operation on single-digit numbers using property and models

Multiplication of numbers can be carried out using multiple strategies. Here, fourth grade math students will learn to perform operations on single-digit numbers using the properties of multiplication. They will also learn to perform the same operations using visual and area models for clarity in understanding.

Multiplication can become real handy if the learners are equipped with the concept of decomposing a big number into friendly numbers and apply properties like distributivity to ease multiplication problems.

Multiplication of single-digit numbers using partial products

Multiplication of two numbers can be carried out using multiple strategies. A handy strategy is to break a number into friendly numbers and use partial product or the smaller rectangular area, The final product can be found by adding the sum of the partial products.

Rounding off is a method of estimation used to encourage mental math and verification while performing math operations. Here, students will learn to estimate products of two numbers using rounding off as the core concept.

Multiplication of two-digit number using place values & properties, multiplication of two-digit numbers using rounding & compatible numbers, concept operation on multiplication of two-digit numbers using partial product, multiplication of two-digit numbers using area model, operation on multiplication of two-digit number using strategies, operation on multiplication of two-digit number using properties, multistep multiplication of two-digit numbers, multiplication of two-digit number using place values & properties.

Multiplication of two-digit numbers can be carried out using multiple methods. Students can use the concept of place values and properties of numbers to perform multiplication operations.

Division is the method of distributing a quantity into equal parts. As fourth grade students are already familiar with the division of smaller quantities or numbers, they will apply their learning to perform the division of multi-digit numbers. They will solve math problems for fourth graders to gain a robust understanding of division as a concept.

Operations on Partial Quotients of Division of Multi-digit Number by Single-digit Numbers

Division of two-digit numbers by one-digit number, division by one-digit numbers, divide multi-digit numbers by one-digit numbers, use place values to divide, division using models or models to find quotients & remainders, partial quotients of division of multi-digit number by single-digit numbers.

Here, fourth graders will learn to perform division operations of multi-digit numbers using the concept of partial quotients. This helps students use strategies like chunking, multiples of 10s,etc. to handle division of large quantities in a strategic manner.

Factors and multiples are concepts to further a learner’s understanding of multiplication. Factors are numbers involved in multiplication operations, and multiples are numbers obtained by multiplying a number with other numbers. Students will also be able to observe specific patterns among the multiples of numbers.

Finding Factor Pairs using Divisibility Rule

Use division to find factor pairs, factors and multiples, factors of 1 to 100, identify prime and composite numbers, is 1 a prime number, what are twin primes, co-prime numbers, prime numbers up to 100, prime numbers up to 1000, number & shape patterns related to factors and multiples, number patterns whole numbers, finding factor pairs using the divisibility rule.

All multiples have a factor pair associated with them. Here, fourth graders will learn to find factor pairs using divisibility rules.

The terms factors and multiples are correlated. These concepts are of great significance in daily life problem solving.

Prime numbers are numbers that have only two factors: 1 and the number itself. Composite numbers, on the other hand, have more than two factors. Here, fourth grade math students will learn to identify prime and composite numbers.

Number and Shape Patterns related to Factors and Multiples

There are specific numbers and shape patterns that can be found related to factors and multiples. In this section, fourth graders will learn to identify these patterns among factors and multiples.

Understand Fraction Equivalence and Comparison

Fractions are quantities that appear between whole numbers. A single quantity can be expressed in multiple ways using different sizes of parts or fraction numbers. These fractions that represent the same value but a different combination of the numerator and denominator are known as equivalent fractions.

Generate Equivalent Fractions using Multiplication & Division

Find equivalent fractions by using area model and number line, compare fractions, generate equivalent fractions using multiplication and division.

Equivalent fractions are formed by a combination of numerators and denominators that actually represent the same value. Students learn to generate equivalent fractions of any given fraction by multiplying or dividing its numerator and denominator by a specific value.

Finding Equivalent Fractions using Area Model and Number Line

Students can understand the meaning of equivalent fractions for a given quantity using the area model or a number line.

Fourth graders will learn to compare any two fractions using visual methods and learning the underlying procedure.

Add and Subtract Fractions

Students will learn to perform addition and subtraction on fractions here. Addition and subtraction of fractions will be emphasized using visual models as well as deducing the procedural understanding. Students will learn these steps by practicing math problems for fourth graders.

Addition & Subtraction of Fractions using Models

Mixed fractions, model of fractions and mixed numbers, find the sum of fractions by decomposing the fractions, addition and subtraction of fraction using like denominators, addition and subtraction of mixed numbers with like denominator, addition and subtraction of fractions using models.

Fourth graders will learn to use visual models to conceptualize the addition and subtraction of fractions.

Mixed fractions, or mixed numbers, are numbers that consist of a whole number along with a fractional part.

Here, fourth graders will learn to use models to represent fractions and mixed numbers.

Students will learn to add two fractions using the decomposition method.

Students will learn to add and subtract fractions that have the same denominator.

Students will be introduced to multi-step operations on fractions.

Fourth graders will learn to multiply fractions by whole numbers.

Relate Fractions and Decimals

Decimals and fractions are closely related. A quantity represented using a fraction can be represented as a decimal number as well. Similarly, a quantity represented using a decimal number can be represented as a fraction as well. Here, students will focus on the relationship between decimals and fractions.

Place and Place Values after Decimal Point

Addition operation on decimal fractions and decimals, operations on fractions and decimals using place value, representation of money, operations on money.

Fourth graders will extend their understanding of place value for large whole numbers to the place values for decimal numbers.

Students will learn to perform addition on decimal fractions and decimal numbers.

Fourth graders will learn to perform operations on fractions and decimals using the concept of place value.

Representation of money and its denominations is one of the real-life applications of decimal numbers. Here, students will learn how decimal numbers are related to money.

Fourth graders will learn to perform operations on money. They will also solve fourth grade math problems to master this concept.

Understand Measurement Equivalence

Measurement is the branch of math that can help learners relate to the physical world in a methodical manner and participate through problem solving. Students will learn to measure different quantities using the principles they have already learned in the lower grades.

Measurement of Length in Metric Units

Inches to cm Converter

Relation Between Inch and cm

Cm to Inches Converter

Measurement of Length in Customary Units

Mass & capacity in metric units, weight & capacity in customary units or mass & capacity in customary units, creation & interpretation of line plots, units of time & their conversion, measurement of elapsed time, algebra of mixed measure.

Fourth graders are already familiar with the concept of measurement of length. Now, they will learn to measure the length in metric units such as centimeters, meters, kilometers, and so on.

Inch to centimeter converter

Centimeter to inches converter.

Learners are introduced to the system of measurement known as the ‘Customary System of Units’, which is followed in the United states. Here, fourth graders will learn about units like yards, feet, inches and miles, which are part of the customary unit system and solve conversion and real life problems based on them.

Mass and Capacity in Metric Units

Mass and capacity are parameters used to describe three-dimensional objects. Fourth grade math students will learn the metric units of mass and capacity.

Mass and Capacity in Customary Units

We use parameters like mass and capacity to describe three-dimensional objects. Here, 4th grade math students will learn the customary units of mass like tons and pounds. Similarly, for capacity, learners are introduced to units like gallons, pints, and ounces, etc.

Creation and Interpretation of Line Plots

Students have already learned to display data points on a graph. Here, they will learn to create and interpret line plots with the help of fourth grade math problems.

Units of Time and their Conversion

Time is the progression of events from the past to the present into the future. In this section, students will learn the units of time, their relationship and solve problems requiring conversion from one unit of time to another.

Elapsed time implies the duration taken for an event by measuring time that lies between the starting and ending of an event. Fourth graders will learn to measure the elapsed time of events through various problems.

Mixed measures are quantities expressed in multiple units. Students will learn to perform math operations on mixed measures and solve fourth grade math problems based on them.

Use Perimeter and Area Formulas

Fourth grade math students have already been introduced to the concept of perimeter and area in lower grades. In fourth grade, they will learn to formalize the concept through a set of formulas used to find the area and perimeter of different shapes.

Area of Rectangle

Perimeter and area of a rectangle, perimeter of square, area of square using diagonal.

A rectangle is a four-sided shape whose opposite sides are equal and parallel. Here, fourth graders through the process of ‘square tiling’ will generalize the formula used to find the area and similarly use the perimeter generalization of rectangles and solve questions based on the same concept.

A square is a special type of rectangle in which all sides are of equal length. So, it has its own specific formulas for finding the area and perimeter which can help learners strategize and solve problems efficiently.

Identify and Draw Lines and Angles

Points, lines, and angles are the basic units of geometry. Here, fourth graders are introduced to identify and draw points, lines, and rays with the help of some solved examples. This topic is important as students will use this concept multiple times while learning geometry.

Lines of symmetry in a rectangle, rhombus lines of symmetry, classification of triangles based on sides, equilateral triangle, isosceles triangle, isosceles right triangle, properties of isosceles triangle, scalene triangle, classification of triangles based on angles, acute triangle, obtuse triangle.

Right Angled Triangle

Equiangular Triangle

Types of quadrilaterals, parallelogram, line symmetry in two-dimensional shapes.

Here, fourth graders will learn how to identify either single or multiple lines of symmetry among various two-dimensional shapes.

Triangles can be classified based on the length of their sides and angles. This classification is based on the length of the sides in a triangle.

Triangles are classified into four categories based on the measurement of their angles: acute, obtuse, right-angled, and equiangular. Fourth graders will learn about each type of triangle in detail.

Right-angled Triangle

In general, quadrilaterals are two-dimensional shapes that are closed and have four sides. Since this is a generic definition, quadrilaterals are further classified into different types based on specific features. Fourth grade math students will learn about each of these quadrilaterals in detail.

Fourth grade is an important grade where various new mathematical concepts are introduced like geometry, decimals, conversion etc. Students should practice a lot of questions to learn concepts thoroughly. BYJU’S Math provides free online classes and learning materials that students can try out. Fourth grade math problems available on BYJU’S Math should help students learn and thoroughly understand concepts.

Why should fourth graders learn estimation of numbers?

Fourth graders should learn the concept of estimation as it will help them minimize calculation errors. Fourth graders will be performing calculations quite often. Knowing the estimated value of the outcome of math operations before performing the operation helps students stick to the expected outcome.

That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

Just choose your grade level or topic to get access to 100% free practice questions:

Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.

Trigonometry

Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.

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Math Tips, Tricks, and Games

Making Math Word Problems Accessible for Fourth Graders

Last Updated on May 26, 2022 by Thinkster

Math word problems are so frustrating that even parents dread seeing the mathematical paragraphs appear on their fourth grader’s homework assignments. If you hate doing word problems as an adult, then you know they’re no picnic for your 9-year-old child. Approach the task with enthusiasm so that your student will follow suit. Adopting a winning attitude is half the battle in math. You need to remember that math is all about logic—and numbers. Follow the numbers, and the word problem isn’t quite as confusing any longer.

1. Teach a Logical Process

If your child is struggling with 4th grade math word problems, teach him a logical process to go through to determine what needs to be done. These steps should be:

Once your child can learn to use this process on a regular basis, you will find that he has much more success with word problems.

2. Teach Common Clue Words

Many fourth graders read a word problem and have no idea what to do with it. Yet most word problems on this grade level have clue words in them. Teach your child to identify those clue words, to help ease the struggle. Here are the clue words:

Students who can pair these clue words with the math process will be much more successful with 4th grade math word problems.

3. Provide Practice

In order for a child to gain mastery of word problems, he needs practice. Simply throwing a sheet of word problems at him is not going to do the job, however. He needs a way to practice that is engaging and enticing.

Thinkster Math , an iPad-based math tutoring program, is an excellent option for this. Thinkster provides personalized math tutoring covering all math topics, including word problems, and designated tutors provide instruction to ensure that students make adjustments as needed when practicing. Students who use Thinkster are engaged in their learning and enjoy excellent gains in difficult math concepts, such as 4th grade math word problems.

4. Use Manipulates or Diagrams

Sometimes visualizing the problem can give the student the tools needed to solve it. For problems with small amounts, you can use math manipulates to help your child picture what is happening. For larger amounts or measurements, draw a diagram. This action gets additional learning processes involved and helps make the word problem a visual concept for the child to consider.

The key to making fourth grade math word problems solvable for your child is to make them understandable and then provide the right practice and support. It can also be worthwhile to get your child a math tutor . By doing so, you will be able to help your child succeed in mathematics.

Making Math Word Problems Accessible for Fourth Graders

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GENERAL KNOWLEDGE

Math Riddles: Are You A Genius? Can You Solve This Square Math Puzzle Within 30 Seconds? Dare to test Your IQ Here!

It's Monday again, the first day of the week. What can be better than a Monday math riddle to prepare your brain for another challenging 7 days? Moreover, Math riddles are an integral part of recreational mathematics. They do not involve any kind of pressuring competition, just you and your fun math puzzle!

The solver is supposed to find the solution and interact with the math puzzle in a logical manner to find the correct answer.

Can you do it? Strategizing the moves and applications can be difficult but not scary. In addition, these math riddles and puzzles sharpen your brain to a great extent.

What are Math riddles?

Math Riddles are puzzle games where players try to figure out a solution to a problem. As fun as they are, the practice also challenges your brain. They are a great way to boost mental capacity and lateral thinking skills, maintain memory strength, and delight you! It often requires thinking unconventionally with given constraints in mind; sometimes, it involves lateral thinking.

Let’s find out if all of this is true or not! Are you ready?

Here we go!

Math Riddle Challenge

Look at the picture posted below. You will find a math puzzle that only those with a high IQ will be able to answer. Carefully check this math puzzle and find the missing number.

source: simplylogical

Is it easy?

Were you able to solve this tricky math puzzle?

If you were able to solve it, let's make it a challenge.

Dare to do it in 30 seconds!

Find out how fast you can solve this math puzzle. If you can solve this puzzle in less time, then that's even better.

Now, go ahead and bring out your mathematical brain to solve this tricky puzzle. Your time starts now.

All the best!

Have you solved the square math puzzle yet? We are going to reveal the answers now. Let’s solve it together.

To solve a mathematical puzzle, observe the puzzle and try to solve it to find the solution to the problem. If you cannot find the solution, we have an answer for you. If you are still working to figure it out, we have the solution to this mathematical puzzle. This puzzle will allow you to see how keen you are and how reasonable an observer you are. If you still need help, the picture below will help you understand the solution.

Since you have gone through the image, there is a chance that you have some idea about the puzzle we have given. If you are still going through the puzzle, no worries; take your time, and there is a chance for you to find the solution for the image. So, make your brain get some ideas about the puzzle given and use your mathematics skills to their full extent to solve this problem.

Here is the Solution

The square math puzzle can be divided into three equations to find the missing number

Equation 1

Here three squares are given

23,23 and 16 so,

23×23=529 , 5+2+9=16 .

So by this logic if we multiply the first two numbers of each row we get the third square number on adding all the constants of the product.

Similarly we can try the next row,

Math Riddles: Are You A Genius? Can You Solve This Key Math Puzzle In 15 Seconds? Test Your IQ Here! Math Riddles: Can you Solve a Math Table Puzzle In 15 Seconds? Test your IQ here!

Math Riddles: Do You Have A High IQ? Solve These Figures and Find the Missing Number!

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Microsoft Math Solver
Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.
Microsoft Math Solver
Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.
Fourth grade math worksheets
Our grade 4 math worksheets help students build mastery in computations with the 4 basic operations, delve deeper into the use of fractions and decimals and introduce concept related to factors. 4 Operations Place Value & Rounding Addition Subtraction Mental Multiplication Multiply in Columns Mental Division Long Division Order of Operations
Step-by-Step Math Problem Solver
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Problem Solving. Fourth Grade Math Worksheets and Study Guides
Use the four operations with whole numbers to solve problems. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4-OA2]
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The 4th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them. The skills the problems will help to develop include: systematic working logical thinking number fact knowledge fraction problems trial and improvement strategies working systematically
4th grade word problem worksheets
The four operations Mixed addition and subtraction word problems Mixed multiplication and division word problems Mixed 4 operations Estimating and rounding word problems Fractions and decimal word problems for grade 4 Writing and comparing fractions Adding and subtracting fractions Multiplying fractions by whole numbers
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Maths Problems With Answers - Grade 4 A set of Maths problems with answers for grade 4 are presented. Also Solutions and explanations are included. The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
4th Grade Math Word Problems: Free Worksheets with Answers
Mixed Addition and Subtraction 4th Grade Math Word Problems (PDF Download) Click the link below to download your free 4th grade mixed addition and subtraction PDF worksheet and answer key. free worksheet Looking for more free 4th grade math worksheets? Click here to access our full PDF library.
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Topics in these fourth grade math word problems cover patterns & place value, addition/subtraction, multiplication, division, fractions, decimals, measurement, and comparisons. If you'd like even more math word problems, we publish them daily on our kid-friendly site: the Daily Classroom Hub. Make sure to bookmark the link!
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Making Math Word Problems Accessible for Fourth Graders
The key to making fourth grade math word problems solvable for your child is to make them understandable and then provide the right practice and support. It can also be worthwhile to get your child a math tutor. By doing so, you will be able to help your child succeed in mathematics. Summary Article Name
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