Question

1. for a science project, nick found that the width of a human hair is about $1.1 \times 10^{-3}$ inches. what is this width written in standard form?

a. 0.000011 inches b. 0.00011 inches

c. 0.0011 inches d. 0.011 inches

Explanation:

Step1: Understand negative exponent rule

A negative exponent means we divide by \(10^n\), so \(10^{-3} = \frac{1}{10^3}\)

Step2: Calculate \(10^3\)

\(10^3 = 1000\)

Step3: Multiply by 1.1

\(1.1 \times \frac{1}{1000} = \frac{1.1}{1000}\)

Step4: Shift decimal left 3 places

Moving the decimal in 1.1 three places left gives 0.0011

Answer:

C. 0.0011 inches