Question

Divide 7.1 × 10^4 by -9.5 × 10^-2. Express your answer in scientific notation. Round the coefficient to two decimal places.

a. -7.47 × 10^6
b. -7.47 × 10^2
c. -7.47 × 10^3
d. -7.47 × 10^4

Answer 1

To divide 7.1 × 10^4 by -9.5 × 10^-2, divide the coefficients and add the exponents. The answer is -7.47 × 10^6.

Step-by-step explanation:

To divide 7.1 × 10^4 by -9.5 × 10^-2 and express the answer in scientific notation, follow these steps:

1. Divide the coefficients (numbers in front of the powers of 10): 7.1 divided by -9.5 equals -0.74736842.
2. Add the exponents from the powers of 10: 4 (from 10^4) minus (-2) (from 10^-2) equals 4 + 2, which is 6.
3. Combine the result of step 1 with the power of ten obtained from step 2, and round the coefficient to two decimal places: -7.47 × 10^6.

Therefore, the answer is -7.47 × 10^6, which corresponds to option a.