Question

A micrometer can be expressed as 1×10^-6 meter, and a centimeter can be expressed as 1×10^−2 meter. Which statement is true?

Answer 1

Given that 1 micrometer is 1 × 10^(-6) meter, and 1 centimeter is 1 × 10^(-2) meter, a true statement is therefore;

• 1 centimeter = 10,000 micrometers

How can a true statement be obtained?

Given;

One micrometer = 1 × 10^(-6) meter

One centimeter = 1 × 10^(-2) meter

Therefore;

$\frac{1 \: cm}{1 \mu} = \frac{1 \times 10 ^{ - 2} }{1 \times 10 ^{ - 6}} = 1 \times 10 ^{ 4}$

$1 \: cm = 1 \: \mu \times 1 \times 10 ^{4}$

$1 \: cm = 10000 \: \mu$

A true statement is therefore;

1 centimeter = 10,000 micrometers

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