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## Unit: Decimals and place value

About this unit, decimal fractions.

- Writing a number as a fraction and decimal (Opens a modal)
- Write decimals and fractions shown on grids Get 3 of 4 questions to level up!

## Decimal fractions greater than 1

- Writing decimals and fractions greater than 1 shown on grids (Opens a modal)
- Writing decimals and fractions shown on number lines (Opens a modal)
- Write decimals and fractions greater than 1 shown on grids Get 3 of 4 questions to level up!
- Write decimals and fractions greater than 1 shown on number lines Get 3 of 4 questions to level up!

## Writing fractions as decimals

- Rewriting fractions as decimals (Opens a modal)
- Write fractions as decimals (denominators of 10 & 100) Get 3 of 4 questions to level up!

## Decimal place value intro

- Place value with decimals (Opens a modal)
- Decimal place value review (Opens a modal)
- Place value names Get 5 of 7 questions to level up!
- Value of a digit Get 5 of 7 questions to level up!

## Decimals on the number line

- Thousandths on the number line (Opens a modal)
- Decimals on the number line: thousandths Get 3 of 4 questions to level up!

## Decimals in expanded form

- Write decimal in expanded form (Opens a modal)
- Decimals in expanded form review (Opens a modal)
- Decimals in expanded form Get 3 of 4 questions to level up!

## Regrouping decimals

- Visual understanding of regrouping decimals (Opens a modal)
- Regrouping with decimals (Opens a modal)
- Regrouping with decimals: 21.3 (Opens a modal)
- Regroup decimals Get 3 of 4 questions to level up!

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## Search form

Solving more decimal word problems.

Answer: The cost of 15.5 weeks of school lunches would be about $200.

Analysis: To solve this problem, we will multiply $11.75 by 21.

Answer: The student will earn $246.75 for gardening this month.

Analysis: To solve this problem, we will multiply 29.7 by 10.45

Answer: Rick can travel 310.365 miles with one full tank of gas.

Analysis: We need to estimate the quotient of 179.3 and 61.5.

Answer: He averaged about 3 miles per day.

Analysis: We will divide 7.11 lbs. by 9 to solve this problem.

Answer: Each jar will contain 0.79 lbs. of candy.

Answer: Paul will make 36 monthly payments of $529.47 each.

Analysis: We will divide 956.4 by 15.9, then round the quotient to the nearest tenth.

Answer: Rounded to the nearest tenth, the average speed of the car is 60.2 miles per hour.

- Estimating decimal products
- Multiplying decimals by whole numbers
- Multiplying decimals by decimals
- Estimating decimal quotients
- Dividing decimals by whole numbers
- Rounding decimal quotients
- Dividing decimals by decimals

## Featured Sites:

Free math worksheets, charts and calculators

## Year 5 Unit 10 Decimals

## Lesson 18- Problems Involving Decimals

Three cylinders weigh 52.4kg, 48.06kg and 63.587kg. What is the total weight of the three cylinders?

Liters of petrol used each day = 1.65L

Liters of petrol used in 12 days = 1.65L x 12

The product of two numbers is 96.75. If one of the numbers is 2.5, find the other number.

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## Decimal Word Problem Worksheets

Subtracting Decimals Word Problems

Multiplying Decimals Word Problems

Dividing Decimals Word Problems

Decimals: Addition and Subtraction

Decimals: Multiplication and Division

Multiplying Decimals Whole Numbers

Decimal Division Whole Numbers

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## Word Problems Involving Decimals

First, rewrite all the numbers with the same number of decimal places.

2.31 + 2.60 + k = 7.00 where k is the height of Keith in meters.

Therefore, Keith is 2.09 meters tall.

This is a division problem: we need to find how many times 0.3 kilograms goes into 8 kilograms.

## Download our free learning tools apps and test prep books

## Adding and Subtracting Decimals

Adding decimals is easy when you keep your work neat

To add decimals, follow these steps:

- Write down the numbers, one under the other, with the decimal points lined up
- Put in zeros so the numbers have the same length ( see below for why that is OK)
- Then add , using column addition , remembering to put the decimal point in the answer

## Example: Add 1.452 to 1.3

Example: add 3.25, 0.075 and 5.

That's all there is to it: line up the decimal points, pad with zeros, then add normally.

## Subtracting

To subtract, follow the same method: line up the decimal points, then subtract .

## Example: What is 7.368 − 1.15 ?

To check we can add the answer to the number subtracted:

## Example: Check that 7.368 minus 1.15 equals 6.218

Let us try adding 6.218 to 1.15

It matches the number we started with, so it checks out.

## Putting In Zeros

Why can we put in extra zeros?

A zero is really saying "there is no value at this decimal place".

- In a number like 10, the zero is saying "no ones"
- In a number like 2.50 the zero is saying "no hundredths"

So it is safe to take a number like 2.5 and make it 2.50 or 2.500 etc

But DON'T take 2.5 and make it 20.5, that is plain wrong.

## Decimal Word Problems Simple How-To w/ 13+ Examples!

// Last Updated: October 23, 2020 - Watch Video //

Have you ever found yourself stuck on a decimal word problem and not quite sure what to do?

Jenn, Founder Calcworkshop ® , 15+ Years Experience (Licensed & Certified Teacher)

## Steps In Solving Word Problems

All you have to do is remember the FACTS !

- Focus on what you know and not on what you don’t know. Sometimes just looking at word problems can overwhelm us even before we’ve read a single word. The key to problem-solving, especially problem solving with decimals, is to focus on what you know.
- Actively participate . This means you need to circle or underline keywords or phrases, write down important information that the problem is presenting. Once you write down or mark up the word problem, you will quickly realize that you are always given a ton of information to work with, now you just need to …
- Choose a method and go for it! What keywords pop out at you? Does it tell you to add or subtract decimals? Multiply, divide, or compare? Maybe you need to approximate so that rounding may be the best method. Or do you need to use more than one method or operation to calculate the correct answer? What is the problem asking, and what is provided that will help you get there?
- And once you’ve chosen your method, all that’s left is to try it ! Don’t give up, even if it’s challenging. The best thing you can do is try! So, try your method of choice and locate the answer you need.
- Lastly, you need to Scrutinize your work . All this means is that you need to ask yourself, “does my answer make sense?”

## Step-by-Step Example

Helen’s monthly salary is $5463.79.

Her monthly expenses are as follows:

After paying all of her expenses, how much money does Helen have left?

Words And Phrases To Math Symbols

Now we CHOOSE our method, which will involve two steps:

And finally, we ask ourselves, does our answer make SENSE ?

Yes, Helen has $413.46 remaining after paying all of her bills.

## Worksheet (PDF) — Hands on Practice

Practice Problems Step-by-Step Solutions

## Decimal Word Problems – Lesson & Examples (Video)

- Introduction to Video: Problem Solving with Decimals
- 00:00:37 – Review of Keywords and Overview of Problem Solving Steps: FACTS
- 00:08:02 – Solve each one-step problem using decimals (Examples #1-4)
- 00:24:10 – Solve the one-method word problem with decimals (Examples #5-8)
- 00:46:24 – Solve the application problem using two-methods (Examples #9-10)
- 01:02:18 – Solve the decimal word problem using more than one technique (Examples #11-12)
- 01:13:36 – Solve using estimation (Examples #13-14)
- Practice Problems with Step-by-Step Solutions
- Chapter Tests with Video Solutions

Get access to all the courses and over 450 HD videos with your subscription

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## Real-life problems, working with decimals

CCSS.Math.Content.4.MD.A.2, CCSS.Math.Content.4.NBT.B.5, CCSS.Math.Content.5.NBT.B.7

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## Mixed decimals word problems

Add, subtract and multiply decimals.

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## Decimal Word Problems (1-Step Word Problem)

Related Pages More Word Problems Decimal Worksheets More Singapore Math

The length of the rope is 4.02 m.

Example: The mass of a jar of sugar is 1.9 kg. What is the total mass of 4 such jars of sugar?

The total mass of 4 such jars of sugar is 7.6 kg.

The volume of water in the bottle is 1.3 l.

## Decimal Word Problems: Addition, Subtraction, Multiplication, Division

- Maneesha purchased a box of pencils for $1.28 and gave the cashier $10.00. How much change should she get back?
- If you buy an ebook for $29.62 and download 5 songs for $1.29 each, what is the total amount you have spent?
- Emilio’s batting average in his first year playing baseball was 0.089. In his second year, he improved to an average of 0.29. His third year, he improved even more to an average of 0.329. What is Emilio’s average over the three years? What is the difference between the first and third year averages?
- Shanelle purchased 4 pencils for $0.28 each. If she had a $5 bill, how much money did she have left after purchasing the pencils?
- A train took 1.2 hours to go 73.8 miles from Cary to Fayetteville. Find the rate of the train.
- I have a pile of DVD’s. Each DVD has a height of 0.3 cm. If the pile is 75 cm tall, how many DVD’s are there in the pile?

## Word Problems With Decimals

Solve word problems involving addition, subtraction, multiplication and division of decimal numbers.

- Matt deposits a check for $234.95 into his checking account. He now has a total of $1,479.87 in the account. How much was the account before the deposit?
- Stan compares his checkbook record with his monthly bank statement that says he has $876.47. Stan sees that checks for $32.85, $97.10 and $158.78 have not been cashed yet. How much money does Stan really have available?
- An ad for a computer system lists the price as $899.95. There is an instant rebate of $55.55 and a mail-in rebate of $66.66. What is the final price of the system after both rebates?
- At work, Amy receives $22.25 per hour for up to 40 hours per week. Any time beyond that is paid at a rate of $37.80 per hour. If she receives $1,173.50 in her paycheck, how much time did she work that week?
- The total receipts for a basketball game is $1,400 for 788 tickets sold. Adults pay $2.50 and students pay $1.25. How many tickets of each kind were sold?

## Decimals Word Problem Using Block Model

Solving a 2-part decimals word problem using block modeling.

How to solve decimal word problems using tape diagrams?

The following video shows an example of a decimal word problem.

## IMAGES

## VIDEO

## COMMENTS

8 questions Significant figures Unit test 25 questions About this unit In this topic, we will learn what a decimal is and how to show it visually and on a number line. We will also add, subtract, multiply, and divide with decimals. Intro to decimals Learn Decimal place value Decimals as words Writing decimal numbers shown in grids Practice

Quiz 1: 5 questions Practice what you've learned, and level up on the above skills. Decimal place value intro. Decimals on the number line. Decimals in expanded form. Regrouping decimals. Quiz 2: 5 questions Practice what you've learned, and level up on the above skills. Unit test Test your knowledge of all skills in this unit.

Solving Decimal Word Problems Example 1: If 58 out of 100 students in a school are boys, then write a decimal for the part of the school that consists of boys. Analysis: We can write a fraction and a decimal for the part of the school that consists of boys. Answer: 0.58 Example 2: A computer processes information in nanoseconds.

Solving More Decimal Word Problems Example 1: School lunches cost $14.50 per week. About how much would 15.5 weeks of lunches cost? Analysis: We need to estimate the product of $14.50 and 15.5. To do this, we will round one factor up and one factor down. Estimate: Answer: The cost of 15.5 weeks of school lunches would be about $200.

At the end of this lesson, students should be able to understand and solve word problems involving decimals. Decimal word problems are just like any other word problems except that they involve decimal numbers and not whole numbers. Example 1. Three cylinders weigh 52.4kg, 48.06kg and 63.587kg. What is the total weight of the three cylinders ...

Some decimal word problems are solved by adding or subtracting decimals. What is the step by step guide on how to add decimals? To add decimals step by step: Write the numbers in a column...

Avoid calculator. Decimals: Addition and Subtraction It's review time for grade 4 and grade 5 students. Take these printable worksheets that help you reinforce the knowledge in adding and subtracting decimals. There are five word problems in each pdf worksheet. Decimals: Multiplication and Division

For example, 4.72 has two digits after the decimal point and 5.9 has one. Now ask your child to add those amounts. In this case, we are dealing with a total of three digits. Your child's answer should reflect a decimal point position that has exactly three numbers after the decimal point, like this: 4.72 x 5.9 = 27.848.

Example 1: Joey, Keith, and Eli have a combined height of 7 meters. If Joey is 2.31 meters tall and Eli is 2.6 meters tall, how tall is Keith? First, rewrite all the numbers with the same number of decimal places. Joey, Keith, and Eli have a combined height of 7.00 meters. If Joey is 2.31 meters tall and Eli is 2.60 meters tall, how tall is Keith?

Adding decimals is easy when you keep your work neat. To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up; Put in zeros so the numbers have the same length (see below for why that is OK); Then add, using column addition, remembering to put the decimal point in the answer

Multiply, divide, or compare? Maybe you need to approximate so that rounding may be the best method. Or do you need to use more than one method or operation to calculate the correct answer? What is the problem asking, and what is provided that will help you get there? And once you've chosen your method, all that's left is to try it!

Decimal worksheets for grades 3-6. These free decimal worksheets start with the conversion of simple fractions (denominators of 10 or 100) to/from decimals and progress to the addition, subtraction, multiplication and division, including long division, of multi-digit decimals. Latter worksheets include rounding and r

Math Real-life problems, working with decimals This math worksheet asks your child to solve word problems that involve adding and multiplying decimals. MATH | GRADE: 4th, 5th Print full size Skills Adding decimals, Multiplying decimals, Solving word problems

These grade 5 math word problems involve the addition, subtraction and multiplication of decimal numbers with one or two decimal digits. Some problems may have more than 2 terms, include superfluous data or require the conversion of fractions with denominators of 10 or 100. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4.

Explore examples of calculations that include decimals and learn to solve problems involving money or sports. Updated: 11/09/2021 Decimal Number Problems Problems using decimal...

Decimals Easy Normal Decimals: Problems with Solutions By Catalin David Problem 1 Compare 8.62 5.93 Problem 2 Compare 7.49 7.54 Problem 3 Compare 25.14 25.1 Problem 4 3.24 + 2.51 ----- Problem 5 7.48 + 9.37 ----- Problem 6 9.43 + 15.59 = Problem 7 49.37 - 25.15 = Problem 8 68.42 - 45.79 = Problem 9 1.245 + 75.8 = Problem 10 35.49 + 28 = Problem 11

Addition: 3.42+5.59. Subtraction: 9.21-3.2. Multiplication: 2.9x3.1. Division: 9.8/3.1. Your child will likely start with decimal addition and subtraction in 4th or 5th grade. Addition and subtraction are fairly easy because kids just need to write the problem vertically and make sure the decimal points line up.

Solving a 2-part decimals word problem using block modeling. Example: David took a walk around a park twice. He took 12.4 minutes to walk the first round. ... The following video shows an example of a decimal word problem. Example: Manny tracked the amount of food he ate from Monday to Friday. He ate 16.3 pounds of food. On Monday, he ate 3.2 ...