Expand the expression 0.05(50 + 40) using the distributive property. The new expression is

Answer 1

To expand the expression \( 0.05(50 + 40) \) using the distributive property, you will distribute \( 0.05 \) to both terms inside the parentheses.

Here’s how you do it step by step:

1. Distribute \( 0.05 \) to \( 50 \): \[ 0.05 \times 50 = 2.5 \]

2. Distribute \( 0.05 \) to \( 40 \): \[ 0.05 \times 40 = 2.0 \]

Now, you can combine these results:

\[ 0.05(50 + 40) = 2.5 + 2.0 \]

Thus, the expanded expression is:

\[ 2.5 + 2.0 \]

So, the final result you arrived at is \( 2.5 + 2.0 \).