Sure! Here are some real-world problems involving the addition and subtraction of decimal numbers, along with their solutions.
Problem 1: Adding Decimal Numbers
Scenario: Emily went to the store and bought three items. The prices were as follows:
- A notebook for $3.75
- A pen for $2.50
- A pack of stickers for $4.25
Question: What is the total amount Emily spent at the store?
Solution: To find the total, we need to add the prices of all three items.
\[ 3.75 + 2.50 + 4.25 \]
Calculation:
- Add \(3.75\) and \(2.50\): \[ 3.75 + 2.50 = 6.25 \]
- Now add \(4.25\): \[ 6.25 + 4.25 = 10.50 \]
Total spent: $10.50
Problem 2: Subtracting Decimal Numbers
Scenario: Alex had $50.00. After buying a video game that cost $29.99, he wants to know how much money he has left.
Question: How much money does Alex have after his purchase?
Solution: We need to subtract the price of the video game from Alex's original amount.
\[ 50.00 - 29.99 \]
Calculation:
- Subtract \(29.99\) from \(50.00\): \[ 50.00 - 29.99 = 20.01 \]
Amount left: $20.01
Problem 3: Mixed Operations
Scenario: Sarah bought fruits from the market. She bought apples for $4.50, oranges for $3.75, and bananas for $2.80. She also returned the oranges and got a refund of $3.75.
Question: What is the total amount Sarah spent after her purchase and the refund?
Solution:
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First, calculate the total spent on apples and bananas. \[ 4.50 + 2.80 = 7.30 \]
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Now, subtract the refund from this total: \[ 7.30 - 3.75 \]
Calculation: -\(7.30 - 3.75 = 3.55\)
Total amount spent after refund: $3.55
Summary of Goals
These problems demonstrate how to add and subtract decimal numbers in real-world scenarios. If you have any specific problems or further examples in mind, feel free to ask!
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