Source: Extra Practice

Which of the following representations of the measurement 4700 m4700\text{ m} indicates that the measurement was made accurate to the nearest meter?

Options

Option A is correct

4.700×103 m4.700 \times 10^3\text{ m}

Option B

4.7×103 m4.7 \times 10^3\text{ m}

Option C

4700 m4700\text{ m}

Option D

0.47×104 m0.47 \times 10^4\text{ m}

Explanation

To show that a measurement of 4700 m4700\text{ m} is accurate to the nearest meter, all four digits must be significant (implying an uncertainty of ±1 m\pm 1\text{ m}). Scientific notation resolves the ambiguity of trailing zeros. The expression 4.700×103 m4.700 \times 10^3\text{ m} has 4 significant figures. In contrast, 4.7×1034.7 \times 10^3 has 2 significant figures, and 47004700 is ambiguous because trailing zeros without a decimal point are generally not considered significant.