Question

The average weight of a mosquito is approximately 9 × 10 ¯ 5 ounces.

Based on this estimate, which number could be the weight of a mosquito, in ounces?
Question 4 options:

0.000088


0.0000088


88,000


880,000

Answer 1

`0.000088`

Explanation:

we know that

The average weight of a mosquito is approximately
`9*10^(-5)\ ounces`

so

Verify each case

Convert each number in scientific notation to compare

case A) we have

`0.000088`

`0.000088=8.8*10^(-5)\ ounces`

This number could be the weight of a mosquito, in ounces

case B) we have

`0.0000088`

`0.0000088=0.88*10^(-5)\ ounces`

This number could not be the weight of a mosquito, in ounces, it is very small

case C) we have

`88,000`

`88,000=8.8*10^(4)\ ounces`

This number could not be the weight of a mosquito, in ounces, it's too big

case D) we have

`880,000`

`880,000=8.8*10^(5)\ ounces`

This number could not be the weight of a mosquito, in ounces, it's too big