Question

Multiplying with Scientific Notation

What is the product of 5.86 × 10–7 and 3.1 × 104

1. Write the expression:       (5.86 × 10–7)(3.1 × 104)

2. Rearrange the expression:     (5.86 × 3.1)(10–7 ∙ 104)

3. Multiply the coefficients:      (18.166)(10–7 ∙ 104)

4. Apply the product of powers:    18.166 × 10-3

5. Write in scientific notation:     1.8166 × 10n

What is the value of n in the scientific notation of the product?
n =

Answer 1

n = -2

(18.166 × 10⁻³ = 1.8166 × 10⁻²)