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

ANSWER

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.

Answer 2

Answer:

Option A. $9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}$

Step-by-step explanation:

The given numbers are $9.4\times 10^{-8}, 9.25\times 10^{-6}, 2.5\times 10^{3},7\times 10^{3}$.

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.

$9.4\times 10^{-8}$ = 0.000000094

$9.25\times 10^{-6}$ = 0.00000925

$2.5\times 10^{3}$ = 2500

$7\times 10^{3}$ = 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

$9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}$

Option A. is the answer.