To solve \( 15 - 8 \) by making 10, Hazel can break down the numbers to facilitate the subtraction. She can first adjust 8 to make it easier to subtract from 15.
Let's analyze the equations:
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Option 1:
- \( 15 - 5 = 10 \)
- \( 10 - 5 = 5 \)
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Option 2:
- \( 15 - 2 = 13 \)
- \( 13 - 3 = 10 \)
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Option 3:
- \( 10 + 5 = 15 \)
- \( 8 + 2 = 10 \)
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Option 4:
- \( 15 - 5 = 10 \)
- \( 10 - 3 = 7 \)
The correct option that makes 10 and demonstrates how to rearrange the numbers is:
Option 3:
- \( 10 + 5 = 15 \)
- \( 8 + 2 = 10 \)
This shows that Hazel can adjust \( 15 \) down by making \( 8 \) into \( 10 \) (by adding \( 2 \)), thus converting the initial problem \( 15 - 8 \) into \( 15 - (10 - 2) \), effectively letting her solve using 10.
So, the response is: 10 + 5 = 15 , 8 + 2 = 10.