the volume of a raisin is $4.5 \\times 10^{-1}\\ \\text{cm}^3$. the volume of a swimming pool is $9 \\times…

the volume of a raisin is $4.5 \\times 10^{-1}\\ \\text{cm}^3$. the volume of a swimming pool is $9 \\times 10^{8}\\ \\text{cm}^3$.\nhow many raisins would it take to fill the swimming pool?

the volume of a raisin is $4.5 \\times 10^{-1}\\ \\text{cm}^3$. the volume of a swimming pool is $9 \\times 10^{8}\\ \\text{cm}^3$.\nhow many raisins would it take to fill the swimming pool?

Answer

Explanation:

Step1: Set up division of volumes

$\text{Number of raisins} = \frac{\text{Pool volume}}{\text{Raisin volume}} = \frac{9 \times 10^8}{4.5 \times 10^{-1}}$

Step2: Split into coefficient and power

First calculate $\frac{9}{4.5} = 2$, then calculate $\frac{10^8}{10^{-1}} = 10^{8 - (-1)} = 10^9$

Step3: Multiply results

$2 \times 10^9$

Answer:

$2 \times 10^9$