Question

"Gustavo applied the distributive property to the expression 9(w+5). He then used the commutative property.

Drag and drop expressions to the boxes to correctly complete the statements.
After applying the distributive property, Gustavo's expression was _________.
After he used the commutative property, his expression was _________.

help

Answer 1

Drag and drop expressions to the boxes to correctly complete the statements.

After applying the distributive property, Gustavo's expression was 9w + 45.

After he used the commutative property, his expression was 45 + 9w.

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I think this is correct hope this helps

Answer 2

The completed statements would be:

- After applying the distributive property, Gustavo's expression was
`\( 9w + 45 \).`

- After he used the commutative property, his expression was
`\( 45 + 9w \).`

Let's go through the steps to solve the problem presented in the image.

Step 1: Distributive Property

The distributive property states that
`\( a(b + c) = ab + ac \).` Applying this to Gustavo's expression
`\( 9(w + 5) \)`, we get:

`\[ 9(w) + 9(5) \]`

`\[ 9w + 45 \]`

So, after applying the distributive property, Gustavo's expression was 9w + 45 .

Step 2: Commutative Property

The commutative property of addition states that the order of addition does not change the sum. This means
`\( a + b = b + a \).`Applying this to the expression
`\( 9w + 45 \),` we can write it as
`\( 45 + 9w \)`without changing its value.

So, after using the commutative property, his expression was
`\( 45 + 9w \).`