Question

sigfigcalc10. determine the number of significant figures in the answer of $\left(9.0 \times 10^{3}\
ight) \div \left(4.97 \times 10^{-5}\
ight)$. 1 2 3 4 5

Explanation:

Step1: Recall significant - figure rules for division

When dividing two numbers \(a\div b\), the result should have the same number of significant figures as the number with the fewest significant figures among \(a\) and \(b\).

Step2: Count significant figures in each number

For \(9.0\times 10^{3}\), the significant figures are \(2\) (the digits \(9\) and \(0\)). For \(4.97\times 10^{-5}\), the significant figures are \(3\) (the digits \(4\), \(9\), and \(7\)).

Step3: Determine the number of significant figures in the result

Since \(9.0\times 10^{3}\) has \(2\) significant figures (fewer than \(4.97\times 10^{-5}\) which has \(3\) significant figures), the result of \((9.0\times 10^{3})\div(4.97\times 10^{-5})\) will have \(2\) significant figures.

Answer:

2