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Add integers in applications Question Annie lost 2 pounds the first week of her diet. Over the next three weeks, she lost 2 pounds, gained 3 pounds, and then lost 7 pounds. What was the change in her weight over the four weeks?

Ask by Bond John. in the United States
Feb 20,2025

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The change in Annie's weight over the four weeks is a total loss of 8 pounds.

Solución

To find the change in Annie's weight over the four weeks, we need to add up the changes in her weight each week. Given: - Week 1: Lost 2 pounds - Week 2: Lost 2 pounds - Week 3: Gained 3 pounds - Week 4: Lost 7 pounds The change in her weight over the four weeks is the sum of the changes in her weight each week: \[ \text{Change in weight} = -2 + (-2) + 3 + (-7) \] Now, let's calculate the change in her weight over the four weeks. Calculate the value by following steps: - step0: Calculate: \(-2+\left(-2\right)+3+\left(-7\right)\) - step1: Remove the parentheses: \(-2-2+3-7\) - step2: Calculate: \(-8\)

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Extra Insights

Annie's weight changes can be totaled like a rollercoaster ride! Starting at -2 pounds, we add her next three weeks: -2 + 2 (no change), +3 (a gain), and -7 (a loss). So, the calculation goes: -2 + 2 = 0, then 0 + 3 = 3, and 3 - 7 = -4. Thus, after four weeks, Annie has experienced a total weight change of -4 pounds, meaning she lost 4 pounds overall. Real-world applications of adding integers can also be seen in finance! Imagine tracking your monthly expenses. If you start with $500 and spend $200 this month, you're left with $300. If you gain $150 next month but also have to spend $80, you can easily track these changes by adding positive and negative amounts, allowing you to maintain a clear picture of your budget!

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