Question

A passenger plane travels are about 7.97 * 10 to the power of 2 feet per second. The plane takes 1.11 x 10 to the power of 4 seconds to reach its destination. About how far must a plane travel to reach its destination? Write your answer in scientific notation.

A. 8.85 x 10 to the power of 8 ft
B. 9.08 x 10 to the power of 6 ft
C. 8.85 x 10 to the power of 6 ft
D. 9.08 x 10 to the power of 8 ft

Answer 1

The correct answer is C) 8.85x10⁶.

We have
(7.97×10²)×(1.11×10⁴)

Multiplication is commutative, so we can rewrite this as:
(7.97×1.11)×(10²×10⁴)

Using the properties of exponents, we have
(7.97×1.11)×10⁶

Multiplying the numbers in parentheses, we have
8.8467×10⁶

This rounds to 
8.85×10⁶