example of decimal problem solving with solution

5.4 Solve Equations with Decimals
Introduction
1.1 Introduction to Whole Numbers
1.2 Add Whole Numbers
1.3 Subtract Whole Numbers
1.4 Multiply Whole Numbers
1.5 Divide Whole Numbers
Key Concepts
Review Exercises
Practice Test
Introduction to the Language of Algebra
2.1 Use the Language of Algebra
2.2 Evaluate, Simplify, and Translate Expressions
2.3 Solving Equations Using the Subtraction and Addition Properties of Equality
2.4 Find Multiples and Factors
2.5 Prime Factorization and the Least Common Multiple
Introduction to Integers
3.1 Introduction to Integers
3.2 Add Integers
3.3 Subtract Integers
3.4 Multiply and Divide Integers
3.5 Solve Equations Using Integers; The Division Property of Equality
Introduction to Fractions
4.1 Visualize Fractions
4.2 Multiply and Divide Fractions
4.3 Multiply and Divide Mixed Numbers and Complex Fractions
4.4 Add and Subtract Fractions with Common Denominators
4.5 Add and Subtract Fractions with Different Denominators
4.6 Add and Subtract Mixed Numbers
4.7 Solve Equations with Fractions
Introduction to Decimals
5.1 Decimals
5.2 Decimal Operations
5.3 Decimals and Fractions
5.5 Averages and Probability
5.6 Ratios and Rate
5.7 Simplify and Use Square Roots
Introduction to Percents
6.1 Understand Percent
6.2 Solve General Applications of Percent
6.3 Solve Sales Tax, Commission, and Discount Applications
6.4 Solve Simple Interest Applications
6.5 Solve Proportions and their Applications
Introduction to the Properties of Real Numbers
7.1 Rational and Irrational Numbers
7.2 Commutative and Associative Properties
7.3 Distributive Property
7.4 Properties of Identity, Inverses, and Zero
7.5 Systems of Measurement
Introduction to Solving Linear Equations
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
8.2 Solve Equations Using the Division and Multiplication Properties of Equality
8.3 Solve Equations with Variables and Constants on Both Sides
8.4 Solve Equations with Fraction or Decimal Coefficients
9.1 Use a Problem Solving Strategy
9.2 Solve Money Applications
9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
9.5 Solve Geometry Applications: Circles and Irregular Figures
9.6 Solve Geometry Applications: Volume and Surface Area
9.7 Solve a Formula for a Specific Variable
Introduction to Polynomials
10.1 Add and Subtract Polynomials
10.2 Use Multiplication Properties of Exponents
10.3 Multiply Polynomials
10.4 Divide Monomials
10.5 Integer Exponents and Scientific Notation
10.6 Introduction to Factoring Polynomials
11.1 Use the Rectangular Coordinate System
11.2 Graphing Linear Equations
11.3 Graphing with Intercepts
11.4 Understand Slope of a Line
A | Cumulative Review
B | Powers and Roots Tables
C | Geometric Formulas

Learning Objectives

By the end of this section, you will be able to:

Be Prepared 5.10

Before you get started, take this readiness quiz.

Evaluate x + 2 3 when x = − 1 4 . x + 2 3 when x = − 1 4 . If you missed this problem, review Example 4.77 .

Be Prepared 5.11

Evaluate 15 − y 15 − y when y = −5 . y = −5 . If you missed this problem, review Example 3.41 .

Be Prepared 5.12

Solve n − 7 = 42 . n − 7 = 42 . If you missed this problem, review Example 4.99 .

Determine Whether a Decimal is a Solution of an Equation

Solving equations with decimals is important in our everyday lives because money is usually written with decimals. When applications involve money, such as shopping for yourself, making your family’s budget, or planning for the future of your business, you’ll be solving equations with decimals.

Now that we’ve worked with decimals, we are ready to find solutions to equations involving decimals. The steps we take to determine whether a number is a solution to an equation are the same whether the solution is a whole number, an integer, a fraction, or a decimal. We’ll list these steps here again for easy reference.

Determine whether a number is a solution to an equation.

Example 5.40

Determine whether each of the following is a solution of x − 0.7 = 1.5 : x − 0.7 = 1.5 :

ⓐ x = 1 x = 1 ⓑ x = −0.8 x = −0.8 ⓒ x = 2.2 x = 2.2

Since x = 1 x = 1 does not result in a true equation, 1 1 is not a solution to the equation.

Since x = −0.8 x = −0.8 does not result in a true equation, −0.8 −0.8 is not a solution to the equation.

Since x = 2.2 x = 2.2 results in a true equation, 2.2 2.2 is a solution to the equation.

Try It 5.79

Determine whether each value is a solution of the given equation.

x − 0.6 = 1.3 : x − 0.6 = 1.3 : ⓐ x = 0.7 x = 0.7 ⓑ x = 1.9 x = 1.9 ⓒ x = −0.7 x = −0.7

Try It 5.80

y − 0.4 = 1.7 : y − 0.4 = 1.7 : ⓐ y = 2.1 y = 2.1 ⓑ y = 1.3 y = 1.3 ⓒ −1.3 −1.3

Solve Equations with Decimals

In previous chapters, we solved equations using the Properties of Equality. We will use these same properties to solve equations with decimals.

Properties of Equality

When you add, subtract, multiply or divide the same quantity from both sides of an equation, you still have equality.

Example 5.41

Solve: y + 2.3 = −4.7 . y + 2.3 = −4.7 .

We will use the Subtraction Property of Equality to isolate the variable.

Since y = −7 y = −7 makes y + 2.3 = −4.7 y + 2.3 = −4.7 a true statement, we know we have found a solution to this equation.

Try It 5.81

Solve: y + 2.7 = −5.3 . y + 2.7 = −5.3 .

Try It 5.82

Solve: y + 3.6 = −4.8 . y + 3.6 = −4.8 .

Example 5.42

Solve: a − 4.75 = −1.39 . a − 4.75 = −1.39 .

We will use the Addition Property of Equality.

Since the result is a true statement, a = 3.36 a = 3.36 is a solution to the equation.

Try It 5.83

Solve: a − 3.93 = −2.86 . a − 3.93 = −2.86 .

Try It 5.84

Solve: n − 3.47 = −2.64 . n − 3.47 = −2.64 .

Example 5.43

Solve: −4.8 = 0.8 n . −4.8 = 0.8 n .

We will use the Division Property of Equality.

Use the Properties of Equality to find a value for n . n .

Since n = −6 n = −6 makes −4.8 = 0.8 n −4.8 = 0.8 n a true statement, we know we have a solution.

Try It 5.85

Solve: −8.4 = 0.7 b . −8.4 = 0.7 b .

Try It 5.86

Solve: −5.6 = 0.7 c . −5.6 = 0.7 c .

Example 5.44

Solve: p − 1.8 = −6.5 . p − 1.8 = −6.5 .

We will use the Multiplication Property of Equality .

A solution to p −1.8 = −6.5 p −1.8 = −6.5 is p = 11.7 . p = 11.7 .

Try It 5.87

Solve: c −2.6 = −4.5 . c −2.6 = −4.5 .

Try It 5.88

Solve: b −1.2 = −5.4 . b −1.2 = −5.4 .

Translate to an Equation and Solve

Now that we have solved equations with decimals, we are ready to translate word sentences to equations and solve. Remember to look for words and phrases that indicate the operations to use.

Example 5.45

Translate and solve: The difference of n n and 4.3 4.3 is 2.1 . 2.1 .

Try It 5.89

Translate and solve: The difference of y y and 4.9 4.9 is 2.8 . 2.8 .

Try It 5.90

Translate and solve: The difference of z z and 5.7 5.7 is 3.4 . 3.4 .

Example 5.46

Translate and solve: The product of −3.1 −3.1 and x x is 5.27 . 5.27 .

Try It 5.91

Translate and solve: The product of −4.3 −4.3 and x x is 12.04 . 12.04 .

Try It 5.92

Translate and solve: The product of −3.1 −3.1 and m m is 26.66 . 26.66 .

Example 5.47

Translate and solve: The quotient of p p and −2.4 −2.4 is 6.5 . 6.5 .

Try It 5.93

Translate and solve: The quotient of q q and −3.4 −3.4 is 4.5 . 4.5 .

Try It 5.94

Translate and solve: The quotient of r r and −2.6 −2.6 is 2.5 . 2.5 .

Example 5.48

Translate and solve: The sum of n n and 2.9 2.9 is 1.7 . 1.7 .

Try It 5.95

Translate and solve: The sum of j j and 3.8 3.8 is 2.6 . 2.6 .

Try It 5.96

Translate and solve: The sum of k k and 4.7 4.7 is 0.3 . 0.3 .

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Section 5.4 Exercises

Practice makes perfect.

In the following exercises, determine whether each number is a solution of the given equation.

x − 0.8 = 2.3 x − 0.8 = 2.3 ⓐ x = 2 x = 2 ⓑ x = −1.5 x = −1.5 ⓒ x = 3.1 x = 3.1

y + 0.6 = −3.4 y + 0.6 = −3.4 ⓐ y = −4 y = −4 ⓑ y = −2.8 y = −2.8 ⓒ y = 2.6 y = 2.6

h 1.5 = −4.3 h 1.5 = −4.3 ⓐ h = 6.45 h = 6.45 ⓑ h = −6.45 h = −6.45 ⓒ h = −2.1 h = −2.1

0.75 k = −3.6 0.75 k = −3.6 ⓐ k = −0.48 k = −0.48 ⓑ k = −4.8 k = −4.8 ⓒ k = −2.7 k = −2.7

In the following exercises, solve the equation.

y + 2.9 = 5.7 y + 2.9 = 5.7

m + 4.6 = 6.5 m + 4.6 = 6.5

f + 3.45 = 2.6 f + 3.45 = 2.6

h + 4.37 = 3.5 h + 4.37 = 3.5

a + 6.2 = −1.7 a + 6.2 = −1.7

b + 5.8 = −2.3 b + 5.8 = −2.3

c + 1.15 = −3.5 c + 1.15 = −3.5

d + 2.35 = −4.8 d + 2.35 = −4.8

n − 2.6 = 1.8 n − 2.6 = 1.8

p − 3.6 = 1.7 p − 3.6 = 1.7

x − 0.4 = −3.9 x − 0.4 = −3.9

y − 0.6 = −4.5 y − 0.6 = −4.5

j − 1.82 = −6.5 j − 1.82 = −6.5

k − 3.19 = −4.6 k − 3.19 = −4.6

m − 0.25 = −1.67 m − 0.25 = −1.67

q − 0.47 = −1.53 q − 0.47 = −1.53

0.5 x = 3.5 0.5 x = 3.5

0.4 p = 9.2 0.4 p = 9.2

−1.7 c = 8.5 −1.7 c = 8.5

−2.9 x = 5.8 −2.9 x = 5.8

−1.4 p = −4.2 −1.4 p = −4.2

−2.8 m = −8.4 −2.8 m = −8.4

−120 = 1.5 q −120 = 1.5 q

−75 = 1.5 y −75 = 1.5 y

0.24 x = 4.8 0.24 x = 4.8

0.18 n = 5.4 0.18 n = 5.4

−3.4 z = −9.18 −3.4 z = −9.18

−2.7 u = −9.72 −2.7 u = −9.72

a 0.4 = −20 a 0.4 = −20

b 0.3 = −9 b 0.3 = −9

x 0.7 = −0.4 x 0.7 = −0.4

y 0.8 = −0.7 y 0.8 = −0.7

p − 5 = −1.65 p − 5 = −1.65

q − 4 = −5.92 q − 4 = −5.92

r − 1.2 = −6 r − 1.2 = −6

s − 1.5 = −3 s − 1.5 = −3

Mixed Practice

In the following exercises, solve the equation. Then check your solution.

x − 5 = −11 x − 5 = −11

− 2 5 = x + 3 4 − 2 5 = x + 3 4

p + 8 = −2 p + 8 = −2

p + 2 3 = 1 12 p + 2 3 = 1 12

−4.2 m = −33.6 −4.2 m = −33.6

q + 9.5 = −14 q + 9.5 = −14

q + 5 6 = 1 12 q + 5 6 = 1 12

8.6 15 = − d 8.6 15 = − d

7 8 m = 1 10 7 8 m = 1 10

j − 6.2 = −3 j − 6.2 = −3

− 2 3 = y + 3 8 − 2 3 = y + 3 8

s − 1.75 = −3.2 s − 1.75 = −3.2

11 20 = − f 11 20 = − f

−3.6 b = 2.52 −3.6 b = 2.52

−4.2 a = 3.36 −4.2 a = 3.36

−9.1 n = −63.7 −9.1 n = −63.7

r − 1.25 = −2.7 r − 1.25 = −2.7

1 4 n = 7 10 1 4 n = 7 10

h − 3 = −8 h − 3 = −8

y − 7.82 = −16 y − 7.82 = −16

In the following exercises, translate and solve.

The difference of n n and 1.9 1.9 is 3.4 . 3.4 .

The difference n n and 1.5 1.5 is 0.8 . 0.8 .

The product of −6.2 −6.2 and x x is −4.96 . −4.96 .

The product of −4.6 −4.6 and x x is −3.22 . −3.22 .

The quotient of y y and −1.7 −1.7 is −5 . −5 .

The quotient of z z and −3.6 −3.6 is 3 . 3 .

The sum of n n and −7.3 −7.3 is 2.4. 2.4.

The sum of n n and −5.1 −5.1 is 3.8 . 3.8 .

Everyday Math

Shawn bought a pair of shoes on sale for $78 $78 . Solve the equation 0.75 p = 78 0.75 p = 78 to find the original price of the shoes, p . p .

Mary bought a new refrigerator. The total price including sales tax was $1,350 . $1,350 . Find the retail price, r , r , of the refrigerator before tax by solving the equation 1.08 r = 1,350 . 1.08 r = 1,350 .

Writing Exercises

Think about solving the equation 1.2 y = 60 , 1.2 y = 60 , but do not actually solve it. Do you think the solution should be greater than 60 60 or less than 60 ? 60 ? Explain your reasoning. Then solve the equation to see if your thinking was correct.

Think about solving the equation 0.8 x = 200 , 0.8 x = 200 , but do not actually solve it. Do you think the solution should be greater than 200 200 or less than 200 ? 200 ? Explain your reasoning. Then solve the equation to see if your thinking was correct.

ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

ⓑ On a scale of 1–10, how would you rate your mastery of this section in light of your responses on the checklist? How can you improve this?

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Course: 6th grade > Unit 2

Adding & subtracting decimals word problems

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Solving more decimal word problems.

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.

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.

Analysis: To solve this problem, we will divide $19,061.00 by 36, then round the quotient to the nearest cent (hundredth).

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.

Summary: In this lesson we learned how to solve word problems involving decimals. We used the following skills to solve these problems:

Directions: Read each question below. You may use paper and pencil to help you solve these problems. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

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Year 5 Unit 10 Decimals

Lesson 18- Problems Involving Decimals

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.

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

example of decimal problem solving with solution

Mary bought items from a super market that totalled £18.05. How much change did she get if she paid £20 at the counter?

Total cost of items = £18.05

Amount paid at counter = £20

Change given = £20 – £18.05

If daddy uses 1.65 liters of petrol each day for 12 days, how many liters of petrol did he use all together?

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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Calcworkshop

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 (B.S., M.Ed.) of Calcworkshop® teaching decimal word problems

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

Don’t worry!

You’re in good company because we can all relate to struggling with word problems and wondering how to begin.

Steps In Solving Word Problems

The good thing is that there are steps and tools that you can use that will help to read word problems effectively and boost your confidence.

All you have to do is remember the FACTS !

How To Solve A Word Problem

Step-by-Step Example

Let’s look at an 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?

First, we FOCUS on what we know, and we become ACTIVE readers by marking up our problem and writing down keywords and phrases.

$words and phrases to math symbols$

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.

This video will walk you through countless examples of problem-solving using decimals, just like the one above, so that you can attack word problems (like those on IXL ) with confidence!

All you need are the FACTS!

Worksheet (PDF) — Hands on Practice

Practice solving decimal word problems with hands-on worksheets (addition, subtraction, multiplication, division) & step-by-step solutions.

Practice Problems Step-by-Step Solutions

Decimal Word Problems – Lesson & Examples (Video)

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Decimal Word Problems (2-step)

Here are some examples of decimal word problems. We will illustrate how block diagrams can be used to help you to visualize the decimal word problems in terms of the information given and the data that needs to be found. Block diagrams are used in Singapore Math.

Lily used some cloth to make 4 banners and a tablecloth. She used 1.95 m of cloth for each banner and 1.24 m of cloth for the tablecloth. How many meters of cloth did she use altogether?

Step 1: Find the total length of cloth used to make the 4 banners.

1.95 × 4 = 7.8

The total length of cloth used to make the 4 banners was 7.8 m.

Step 2: Find the total length of cloth Lily used altogether.

7.8 + 1.24 = 9.04

Lily used 9.04 m of cloth altogether.

Joe bought 7 liters of orange juice. He poured the orange juice equally into 5 bottles. There was 0.25 liters of orange juice left. What was the volume of juice in 1 bottle?

Step 1: Find the total volume of orange juice in the 5 bottles.

The total volume of orange juice in the 5 bottles was 6.75 liters.

Step 2: Find the volume of orange juice in 1 bottle.

The volume of orange juice in 1 bottle was 1.35 liters.

MultiStep Decimal Word Problems Examples:

Decimal Word Problems Example: A piece of rope is 5 meters long. It is cut into 8 equal pieces. How long is each piece. Round your answer to the nearest hundredth.

Decimal Word Problems Example: Micah can have have his bike fixed for $19.99, or he can buy a new part for his bike and replace it himself for $8.79. How much would he save by fixing the bike himself?

How to Solve Multi-Step Word Problems Involving Decimals? Examples:

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Pre-Algebra : One-Step Equations with Decimals

Study concepts, example questions & explanations for pre-algebra, all pre-algebra resources, example questions, example question #1 : one step equations with decimals.

$example of decimal problem solving with solution$

The goal is to isolate the variable on one side.

$example of decimal problem solving with solution$

Example Question #2 : One Step Equations With Decimals

$example of decimal problem solving with solution$

Example Question #3 : One Step Equations With Decimals

$example of decimal problem solving with solution$

Example Question #4 : One Step Equations With Decimals

$example of decimal problem solving with solution$

Subtract 1.75 from both sides of the equation:

$example of decimal problem solving with solution$

The opposite operation of division is multiplication, therefore , multiply each side by 0.15:

$example of decimal problem solving with solution$

The left hand side can be reduced by recalling that anything divided by itself is equal to 1:

$example of decimal problem solving with solution$

The identity law of multiplication takes effect and we get the solution as:

$example of decimal problem solving with solution$

Example Question #7 : One Step Equations With Decimals

$example of decimal problem solving with solution$

The opposite operation of subtraction is addition so add 0.23 to each side:

$example of decimal problem solving with solution$

Simplifying, we get the final solution:

$example of decimal problem solving with solution$

Example Question #8 : One Step Equations With Decimals

$example of decimal problem solving with solution$

The opposite operation of subtraction is addition so add 1.94 to each side:

$example of decimal problem solving with solution$

The opposite operation of addition is subtraction so subtract 0.001 from each side:

$example of decimal problem solving with solution$

Example Question #10 : One Step Equations With Decimals

$example of decimal problem solving with solution$

The opposite operation of addition is subtraction so subtract 8.11 from each side:

$example of decimal problem solving with solution$

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IMAGES

Solving Decimal Equations
Solving Decimal Equations Addition & Subtraction
7-8 Solving Decimal Equations
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Solving Decimal Equations
5.6 Solving Equations Containing Decimals

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COMMENTS

5.7: Solve Equations with Decimals
If you missed this problem, review Example 3.6.12. Solve $\dfrac{n}{−7}$ = 42. If you missed this problem, review Example 4.12.5. Determine Whether a Decimal is a Solution of an Equation. Solving equations with decimals is important in our everyday lives because money is usually written with decimals. When applications involve money, such ...
Decimals
Writing a number as a fraction and decimal. Rewriting decimals as fractions: 0.15. Rewriting decimals as fractions: 0.8. Rewriting decimals as fractions: 0.36. Rewriting tricky fractions to decimals.
5.4 Solve Equations with Decimals
If you missed this problem, review Example 3.41. Be Prepared 5.12. Solve n − 7 = 42. n − 7 = 42. If you missed this problem, review Example 4.99. Determine Whether a Decimal is a Solution of an Equation. Solving equations with decimals is important in our everyday lives because money is usually written with decimals. When applications ...
Adding & subtracting decimals word problems
Adding & subtracting decimals word problems. Google Classroom. Rosa is building a guitar. The second fret is 33.641\,\text {mm} 33.641mm from the first fret. The third fret is 31.749\,\text {mm} 31.749mm from the second fret.
Solving Decimal Word Problems
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. Example 2: A computer processes information in nanoseconds.
Solving More Decimal Word Problems
Step 1: Step 2: Answer: Rounded to the nearest tenth, the average speed of the car is 60.2 miles per hour. Summary: In this lesson we learned how to solve word problems involving decimals. We used the following skills to solve these problems: Estimating decimal products. Multiplying decimals by whole numbers.
Lesson 18- Problems Involving Decimals
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?
Sample Decimal Problems and Answers
The answer to this problem is 5.1099. Multiplication. 1. 5.888 x 1.2 The answer is 7.0656. Notice how it has four numbers after the decimal point, because the first number has three digits after the decimal point and the second number has one digit in the tens column, resulting in four numbers total. 2. 12.01 x 3.3 The solution is 39.633.
Decimals: Problems with Solutions
Problem 20. Write \displaystyle \frac {127} {1000} 1000127 as decimal number. Problem 21. Write \displaystyle 3\frac {59} {100} 310059 as decimal number. Problem 22. Write "eight tenths" as a decimal number. Problem 23. Write "thirteen hundredths" as a decimal number. Problem 24.
Decimal Word Problems (Simple How-To w/ 13+ Examples!)
Practice Problems Step-by-Step Solutions. Decimal Word Problems - Lesson & Examples (Video) 1 hr 22 min. 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 ...
8.6: Solve Equations with Fraction or Decimal Coefficients
HOW TO: SOLVE EQUATIONS WITH FRACTION COEFFICIENTS BY CLEARING THE FRACTIONS. Step 1. Find the least common denominator of all the fractions in the equation. Step 2. Multiply both sides of the equation by that LCD. This clears the fractions. Step 3. Solve using the General Strategy for Solving Linear Equations.
Solving Problems Using Decimal Numbers
Then, take your success and apply it to your current problem. For example, if you are good with money and know right away whether something adds up or not, you can think of decimals in terms of ...
Solve Multistep Word Problems Involving Decimals
Example Solutions Practice Questions How to Solve Multistep Word Problems Involving Decimals Step 1: Using keywords in the word problem, write the equation that will yield the answer to the question.
Decimal Word Problems (video lessons, examples and solutions)
Word Problems With Decimals. Solve word problems involving addition, subtraction, multiplication and division of decimal numbers. Examples: 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.
Decimal Word Problems
Here are some examples of decimal word problems. We will illustrate how block diagrams can be used to help you to visualize the decimal word problems in terms of the information given and the data that needs to be found. Block diagrams are used in Singapore Math. Example: Lily used some cloth to make 4 banners and a tablecloth.
Equation Solver
Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!
One-Step Equations with Decimals
Free practice questions for Pre-Algebra - One-Step Equations with Decimals. Includes full solutions and score reporting.