Question

the thickness of a human hair is 0.0023 in. convert it to an si standard unit. write it in scientific notation.
1.59 × 10⁻² m
1.5 × 10⁻⁴ cm
1.3 × 10⁻¹ cm
3.8 × 10⁻⁵ m
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Explanation:

Step1: Recall conversion factor

1 inch = 0.0254 m.

Step2: Convert 0.0059 inches

$0.0059\times0.0254 = 1.4986\times10^{-4}$ m. Rounding to two - significant figures gives $1.5\times10^{-4}$ m.

Step3: Check centimeter conversion

1 m = 100 cm. So $1.5\times10^{-4}$ m = $1.5\times10^{-2}$ cm.

Answer:

There is no correct option among the given ones. If we assume a typo in the problem - statement and the thickness is 0.059 in, then:

1. First, convert 0.059 in to m:

• Using the conversion factor 1 in = 0.0254 m, we have $0.059\times0.0254= 1.4986\times10^{-3}$ m $\approx1.5\times10^{-3}$ m.
• In cm, $1.5\times10^{-3}$ m $\times100 = 1.5\times10^{-1}$ cm. So if the original value was 0.059 in, the correct answer for cm conversion is $1.5\times10^{-1}$ cm.