Question

Simplify: 1.2×10^2÷9.12×10^2?

A) 1.094×10^-5
B) 1.094×10^5
C) 1.316×10^-1
D) 0.1316×10^-1.

Answer 1

To simplify the expression, divide the coefficients and subtract the exponents. The correct answer is D) 0.1316 × 10^-1.

Step-by-step explanation:

To simplify the expression, we can apply the rules of scientific notation. The first step is to divide the coefficients: 1.2 ÷ 9.12 = 0.1316. Next, we subtract the exponents: (10^2) ÷ (10^2) = 10^(2-2) = 10^0 = 1. Therefore, the simplified expression is 0.1316 × 10^0.

Since any number multiplied by 10^0 is equal to itself, we can further simplify the expression to just 0.1316. Therefore, the correct answer is D) 0.1316 × 10^-1.