Question

Park Crest Middle School has a population of about 400 Eighth Graders.

Park Crest is one of several middle schools in a state which has a total of 406,240 Eighth Graders.

Use powers of ten to estimate how many times greater the state’s population of Eighth Graders is compared to the number of Eighth Graders at Park Crest Middle School.

Show your work.
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Answer 1

`10^3` times

Explanation:

Given

Let

`P \to` Park Crest Middle School

`T \to` Total

So, we have:

`P = 400`

`T = 406240`

Required

Determine the number of times T is greater than P

This is calculated by dividing T by P.

i.e.

`n = (T)/(P)`

So, we have:

`n = (406240)/(400)`

`n = 1015.6`

Approximate

`n \approx 1000`

As a power of 10, we have:

`n = 10^3`