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# Adding and Subtracting Decimals Word Problems

Decimals are not just abstract concepts but tools that can solve real-world puzzles. Decimal word problems are like windows into everyday scenarios, from calculating prices during shopping trips to understanding measurements and data analysis.

They not only sharpen math skills but also develop the ability to think critically, make informed decisions, and help to apply knowledge to practical situations.

• Benefits of Decimal Word Problems
• Word Problems
• FAQs

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## Benefits of Decimal Word Problems

1. Real-World Application: Word problems involving decimals simulate real-life situations where decimals are commonly used, such as money transactions, measurements, and scientific data. Solving these problems helps students connect mathematical concepts to practical scenarios, enhancing their understanding of how math is used in everyday life.

2. Critical Thinking: Decimal word problems often require students to analyze the problem, decide whether to add or subtract, and determine the appropriate steps to solve it. It promotes critical thinking skills and problem-solving strategies.

## Adding and Subtracting Decimals Word Problems

Q1. Sally bought a toy for 12.75 dollars and a book for 7.89 dollars. How much did she spend in total?

Solution: 12.75 + 7.89 = 20.64
Answer: Sally spent 20.64 dollars in total.

Q2. John had 58.75 dollars, but he spent 23.50 dollars on a game. How much money does he have left?

Solution: 58.75 – 23.50 = 35.25
Answer: John has 35.25 dollars left.

Q3. Alex went to the store and bought a jacket for 56.75 dollars, a pair of jeans for 42.50 dollars, and a shirt for 18.25 dollars. However, he returned one of the items and got a refund of 25.30 dollars. What is the final amount he spent after the refund?

Solution:
Total cost of items: 56.75 + 42.50 + 18.25 = 117.50 dollars
Amount refunded: 25.30 dollars
Final amount spent: Total cost – Amount refunded = 117.50 – 25.30 = 92.20 dollars
Answer: Alex spent 92.20 dollars after the refund.

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Q4. The school’s basketball team scored 78.50 points in their first game and 64.25 points in their second. In the third game, they scored 92.75 points, but due to a penalty, 3.50 points were deducted. What is the team’s total score after the three games?

Solution:
Total points from the first two games: 78.50 + 64.25 = 142.75 points
Total points after the third game: 92.75 – 3.50 = 89.25 points
Total score after three games: Total points from first two games + Total points after the third game = 142.75 + 89.25 = 232.00 points
Answer: The team’s total score after the three games is 232.00 points.

Q5. Emily and Jack are saving money for a school trip. Emily has saved 35.75 dollars, and Jack has saved 48.50 dollars. They both received a gift of 15.25 dollars each. However, they spent 22.80 dollars on snacks during the trip. What is the total amount of money they have now?

Solution:
Emily’s total savings: 35.75 + 15.25 = 51.00 dollars
Jack’s total savings: 48.50 + 15.25 = 63.75 dollars
Total savings before spending: Emily’s total savings + Jack’s total savings = 51.00 + 63.75 = 114.75 dollars
Total savings after spending: Total savings before spending – Snack expenses = 114.75 – 22.80 = 91.95 dollars
Answer: The total amount of money Emily and Jack have now is 91.95 dollars.

## FAQs

#### How do I decide whether to add or subtract decimals in a word problem?

Read the problem carefully to determine the relationship between the quantities mentioned. If you’re dealing with an increase, accumulation, or combining of quantities, it’s likely an additional problem. If you’re dealing with reductions, differences, or taking away from quantities, it’s likely a subtraction problem.

#### What's the key to accurately solving adding and subtracting decimals word problems?

Understanding the context of the problem is crucial. Read the problem carefully, identify the relevant quantities to add or subtract, and align the decimal points accurately during calculations. Pay attention to units (dollars, liters, etc.) to ensure your answer is correct.

#### How do these word problems relate to real life?

Adding and subtracting decimals are skills used in various real-life situations, like shopping, cooking, budgeting, and more. Solving these word problems allows you to connect math concepts to daily practical scenarios.

#### How do I handle word problems with multiple steps involving both addition and subtraction?

Break down complex problems into smaller parts. Solve each part and use the results to build toward the final solution. This approach helps prevent feeling overwhelmed by a multi-step problem.

#### Are there any common mistakes to watch out for while solving these problems?

Misaligning decimal points, miscalculating values, and misinterpreting the problem’s context are common errors. Always double-check your work and review the problem statement to ensure accurate solutions. Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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