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The table shows the population of four cities. Place the populations in order from greatest to least.

The table shows the population of four cities. Place the populations in order from-example-1

2 Answers

1 vote

Answer:

A 1.8 × 10⁸

D 8.0 × 10⁶

B 1.2 × 10⁶

C 2.4 × 10²

Explanation:

the scientific notation is nothing else than 10 to the power of an exponent multiplied by the first number.

that exponent of 10 makes the main decision about the size. the higher the bigger.

if the exponents are equal, then the first number decides.

10⁸ is the largest number compared to the others.

then 10⁶, then 10².

but beware of tricksters among teachers and testers.

what I just explained works without any additional steps only if the scientific notation is truly followed.

that means the first number has exactly 1 position left of the decimal point, and it is not 0.

but anybody could write something like

3126.9 × 10⁴

it is not scientific notation, but it is a valid number in general.

so, is

3126.9 × 10⁴

smaller or larger than A, B, C, D ?

we get the answer by converting the general number into scientific notation, and THEN we compare :

3126.9 × 10⁴ = (3.1269 × 10³) × 10⁴ = 3.1269 × 10⁷

aha !

it is smaller than A but larger than D and B.

and yes, of course, larger than C.

User AabinGunz
by
8.7k points
5 votes
A, D, B, C

To solve, multiply each of these out. Since 10^8 is the greatest value, that will be our greatest answer.
User Dahalia
by
8.1k points

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