Question

Which list is in order from least to greatest? A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 B) 2.5 *10^3, 7 * 10^3, 9.25 * 10^-6, 9.4 * 10^-8. C) 9.25 * 10^-6, 9.4 * 10^-8, 7 * 10^3, 2.5 * 10^3 D) 9.4 * 10^-8, 9.25 * 10^-6, 7 * 10^3, 2.5 * 10^3

Answer 1

Option A.
`9.4* 10^(-8)< 9.25* 10^(-6)< 2.5* 10^(3)<7* 10^(3)`

Explanation:

The given numbers are
`9.4* 10^(-8), 9.25* 10^(-6), 2.5* 10^(3),7* 10^(3)`.

These are numbers written in scientific notation.

To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.

`9.4* 10^(-8)` = 0.000000094

`9.25* 10^(-6)` = 0.00000925

`2.5* 10^(3)` = 2500

`7* 10^(3)` = 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

`9.4* 10^(-8)< 9.25* 10^(-6)< 2.5* 10^(3)<7* 10^(3)`

Option A. is the answer.

Answer 2

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

`9.4 * 10^(-8) \: < \: 9.25 * 10^(-6) \: < \: 2.5 * 10^3 \: < \: 7* 10^3`

The correct choice is A.