Question

complete the equation.
$0.017 \times \boldsymbol{10^2} = 17$
$960 \div \boldsymbol{?} = 0.96$
(options for? : $10^2$, $10^3$, $10^4$, $10^5$)

Explanation:

Step1: Recall division formula

We know that in a division equation \(a\div b = c\), we can rewrite it as \(b=\frac{a}{c}\). Here, \(a = 960\) and \(c=0.96\), so we need to find \(b=\frac{960}{0.96}\).

Step2: Calculate the division

Calculate \(\frac{960}{0.96}\). We can multiply both the numerator and the denominator by 100 to eliminate the decimal: \(\frac{960\times100}{0.96\times100}=\frac{96000}{96}\). Then, \(96000\div96 = 1000\), and \(1000 = 10^{3}\).

Answer:

\(10^{3}\)