Question

a rectangle has length 8 10^4 mm and width 4 10^4 mm. the rectangles length is how many times its width? the rectangles length is times its width. (type a whole number.)

Explanation:

Step1: Set up the ratio

We need to find the ratio of the length to the width. The length $l = 8\times10^{4}$ mm and the width $w=4\times 10^{4}$ mm. The ratio is $\frac{l}{w}=\frac{8\times 10^{4}}{4\times 10^{4}}$.

Step2: Simplify the ratio

Using the rule $\frac{a\times10^{n}}{b\times10^{n}}=\frac{a}{b}$ (when $n$ is the same in the numerator and denominator), we have $\frac{8}{4}\times\frac{10^{4}}{10^{4}}$. Since $\frac{10^{4}}{10^{4}} = 1$ and $\frac{8}{4}=2$.

Answer:

2