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Finding Total Yards Lost Using Integer Multiplication
When a quantity is lost or reduced repeatedly, the situation can be modeled by multiplying a positive count by a negative amount. For example:
Problem: A football team received three penalties in the third quarter, each resulting in a loss of yards. What is the total number of yards lost?
- Identify what to find: the number of yards lost.
- Write a phrase: "three times a -yard penalty."
- Translate: A loss of yards is represented as , so the expression is .
- Simplify: The factors have different signs (positive times negative), so the product is negative: .
- Answer: The team lost yards.
Representing a penalty as and multiplying by the number of occurrences illustrates how integer multiplication models repeated losses in real-world contexts.
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Finding Total Yards Lost Using Integer Multiplication
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Learn After
When modeling a football game where a team loses 10 yards on multiple plays, which integer is used to represent a single 10-yard loss in a multiplication expression?
As a sports data analyst, you are modeling a game where a team received three penalties, each resulting in a loss of 15 yards. Match each part of the calculation 3 * (-15) = -45 to the specific value it represents in your report.
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