Question

Use the Distributive Property to create an equivalent (equal) expression:

2(−5 +3)

Answer 1

To use the Distributive Property on the expression \( 2(-5 + 3) \), you multiply each term inside the parentheses by 2.

Here’s how it works step-by-step:

1. Distribute \( 2 \) to \( -5 \):
\[
2 \times -5 = -10
\]

2. Distribute \( 2 \) to \( 3 \):
\[
2 \times 3 = 6
\]

Now, combine these two results:
\[
-10 + 6
\]

Finally, simplify \( -10 + 6 \):
\[
-10 + 6 = -4
\]

So, the expression \( 2(-5 + 3) \) is equivalent to \( -4 \).

Thus, the equivalent expression is:
\[
-4
\]