Question

Initiate the calculation.

(2 * 10⁵) * (3.2 * 10%) = ____________ * 10^_________ₐ) 6.4, 5
b) 6.4, 6
c) 64, 6
d) 64, 5

Answer 1

To calculate (2 × 10⁵) × (3.2 × 10%), convert the percentage to a decimal and then multiply the numbers in scientific notation separately. The result is 6.4 × 10⁵.

Step-by-step explanation:

To initiate the calculation of (2 × 10⁵) × (3.2 × 10%), we start by understanding how to multiply numbers in scientific notation and percentages. Remember that 10% is equivalent to 0.1 as a decimal. So, we rewrite the expression using the decimal rather than the percentage.

Step 1: Convert the percentage to a decimal and rewrite the expression:
(2 × 10⁵) × (3.2 × 0.1) = (2 × 3.2) × (10⁵ × 10⁴)

Step 2: Multiply the decimal portions and the powers of ten separately:
(2 × 3.2) × 10⁵⁴ = 6.4 × 10⁹

The result, in scientific notation, is 6.4 × 10⁵. Thus, the correct option from the given choices is a) 6.4, 5.