Question

Ethan is solving a math problem. He enters values into his calculator for the first step, and the calculator displays the number 7.37EE22. For the final step, he multiplies the number displayed on the calculator by 6.673 × 10−11.

What will be the final answer in scientific notation?

A.
4.918 × 10−12
B.
4.918 × 10−11
C.
4.918 × 1012
D.
4.918 × 1013

Answer 1

Explanation:

To multiply 7.37EE22 by 6.673 × 10−11, we can simply add the exponents of the two numbers and multiply their coefficients.

7.37EE22 x 6.673 × 10−11 = (7.37 x 6.673) × 10^(22-11) = 49.18201 × 10^11

Since the coefficient is greater than 1, we need to express the answer in scientific notation by moving the decimal point one place to the left, and increasing the exponent by 1:

Final answer: 4.918201 × 10^12

Therefore, the correct option is C. 4.918 × 1012.