Question

Dividing with Scientific Notation

Find the quotient.

(4.86 × 109)(2.43 × 103)

What is the exponent of the power in the quotient?
23612

What is the coefficient in the quotient?
23612

Which operation produced the exponent of the power in the quotient?
adding the original exponentsdividing the original exponentsmultiplying the original exponentssubtracting the original exponents

Answer 1

Compute (4.86 × 10^9)(2.43 × 10^3):

- Multiply coefficients: 4.86 × 2.43 = 11.8098
- Add exponents: 9 + 3 = 12
- So product = 11.8098 × 10^12 = 1.18098 × 10^13

Rounded to 3 significant figures (matching the original numbers): 1.18 × 10^13.

Answers:
- Exponent: 13
- Coefficient: 1.18 (or 1.18098 unrounded)
- Operation that produced the exponent: adding the original exponents.