Hazel wants to make 10 to help her subtract 15−8

.

Which pair of equations shows how Hazel can solve by making 10?

(1 point)
Responses

15−5=10
, 10−5=5

15 - 5 = 10 , 10 - 5 = 5

15−2=13
, 13−3=10

15 − 2 = 13 , 13 - 3 = 10

10+5=15
, 8+2=10

10 + 5 = 15 , 8 + 2 = 10

15−5=10
, 10−3=7

1 answer

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:

  1. Option 1:

    • \( 15 - 5 = 10 \)
    • \( 10 - 5 = 5 \)
  2. Option 2:

    • \( 15 - 2 = 13 \)
    • \( 13 - 3 = 10 \)
  3. Option 3:

    • \( 10 + 5 = 15 \)
    • \( 8 + 2 = 10 \)
  4. 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.

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