Question

directions: type the correct answer in the box. use numerals instead of words. kevin had to measure the diameter of a hair strand and the diameter of a grain of sand for his science experiment. he found the diameter of the hair strand to be 0.00006 inches and the diameter of a grain of sand to be 1.3×10⁻³ inches. the diameter of the grain of sand is ×10⁻³ inches more than the diameter of the hair strand.

Explanation:

Step1: Convert hair - strand diameter to scientific notation

The diameter of the hair strand is $0.00006$ inches. In scientific notation, $0.00006 = 6\times10^{- 5}$ inches. We want to have the same exponent as the sand - grain diameter ($10^{-3}$), so $6\times10^{-5}=0.06\times10^{-3}$ inches.

Step2: Calculate the difference

The diameter of the grain of sand is $1.3\times10^{-3}$ inches and the diameter of the hair strand is $0.06\times10^{-3}$ inches. The difference is $(1.3 - 0.06)\times10^{-3}$ inches.
$1.3-0.06 = 1.24$.

Answer:

$1.24$