Question

simplify the expression using the distributive property: 10(0.2x + 0.3). options: 1. 2x + 3; 2. 2x + 0.03; 3. 0.2x + 3; 4. 2x + 0.3

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c) = ab + ac \). For the expression \( 10(0.2x + 0.3) \), we distribute 10 to both terms inside the parentheses.
First, multiply 10 by \( 0.2x \): \( 10\times0.2x = 2x \).
Then, multiply 10 by \( 0.3 \): \( 10\times0.3 = 3 \).

Step2: Combine the results

After applying the distributive property, we combine the two results from Step 1. So the simplified expression is \( 2x + 3 \).

Answer:

A. \( 2x + 3 \)