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Word problems for decimals and integers

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5th Grade Math
10. 5.NBT.B.7
10.6 Word problems for decimals and integers

Decimals Word Problems

Turn everyday situations involving money, distance, and measurement into decimal equations you can add, subtract, multiply, or divide with confidence.


What You'll Learn

Read a word problem carefully and underline the numbers and the question being asked before doing any math.
Decide which operation fits the situation: combining amounts uses addition, finding a difference uses subtraction.
Recognize clue words like "total," "left over," "each," and "shared equally" to pick between addition, subtraction, multiplication, or division.
Line up decimal points correctly when adding or subtracting, such as \( 3.75 + 2.4 = 6.15 \).
Apply multiplication or division of decimals when a problem involves rates, groups, or equal shares, such as \( 12.6 \div 3 = 4.2 \).
Check every answer by estimating first and comparing it to the exact result to catch misplaced decimal points.

What You'll Practice

1

Calculating library fines by multiplying daily rates over multiple weeks

2

Finding total depth by multiplying rope lengths across multiple robots

3

Determining temperature change rates by dividing total change by hours

4

Solving unit price problems by dividing total cost by quantity

5

Computing plant growth over different time periods using multiplication and division

Why This Matters

Word problems with decimals and integers prepare you for everyday situations like budgeting, comparing prices, calculating rates, and understanding measurements. These skills are essential for managing money, analyzing data in science, and making informed decisions in daily life.

This Unit Includes

10 Video lessons
Learning resources

Skills

Decimal Multiplication
Decimal Division
Word Problems
Unit Rates
Integers
Real-World Applications
Multi-Step Problems
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