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 ________

A. 9w+14
B. 9w+45
C. 14+9w
D. 45+9w
E. 9w+1· 14
F. 9w+1· 45

Answer 1

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

Step-by-step explanation:

After applying the distributive property to the expression 9(w+5), we can distribute the 9 to both terms inside the parentheses:

9(w+5) = 9w + 9(5)

This simplifies to:

9w + 45

Next, Gustavo used the commutative property, which allows us to change the order of addition:

9w + 45 = 45 + 9w

So, after applying the distributive property and then using the commutative property, Gustavo's expression is 45 + 9w.