Question

One strand of human hair is about 0.001 inch in diameter. The diameter of a certain wire for jewelry is 10-2 inch. How many times larger is the diameter of the wire than a strand of hair?. Write the decimal as a power of 10.

Answer 1

10^1

Explanation:

To find out how many times larger the diameter of the wire for jewelry is compared to a strand of hair, we can divide the diameter of the wire by the diameter of the hair.

The diameter of a strand of hair is about 0.001 inch, and the diameter of the wire is 10^(-2) inch.

To find the factor, we divide the diameter of the wire (10^(-2)) by the diameter of the hair (0.001):

(10^(-2)) / (0.001) = 10^(-2) / 10^(-3) = 10^(3 - 2) = 10^1 = 10

Therefore, the diameter of the wire for jewelry is 10^1 times larger than the diameter of a strand of hair.