Order the numbers from smallest to largest. Use the number line as a guide to ensure you put the numbers in the correct order.

Question

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(6 points)
(smallest number) Response area, Response area, Response area, Response area, Response area, Response area (largest number)
responses
9.3 X 10(-7)
5.7 X 10(13)
3.2 X 10(4)
1.9 X 10(7)
-7.6 X 10(-9)
4.5 X 10(4)

Answer 1

To order the numbers from smallest to largest, we can first convert the numbers in scientific notation to their decimal form:

1. \( 9.3 \times 10^{-7} = 0.00000093 \)
2. \( 5.7 \times 10^{13} = 57000000000000 \)
3. \( 3.2 \times 10^{4} = 32000 \)
4. \( 1.9 \times 10^{7} = 19000000 \)
5. \( -7.6 \times 10^{-9} = -0.0000000076 \)
6. \( 4.5 \times 10^{4} = 45000 \)

Next, we can order these numbers:

1. \( -7.6 \times 10^{-9} = -0.0000000076 \) (smallest)
2. \( 9.3 \times 10^{-7} = 0.00000093 \)
3. \( 3.2 \times 10^{4} = 32000 \)
4. \( 4.5 \times 10^{4} = 45000 \)
5. \( 1.9 \times 10^{7} = 19000000 \)
6. \( 5.7 \times 10^{13} = 57000000000000 \) (largest)

So, the ordered list from smallest to largest is:

\( -7.6 \times 10^{-9}, 9.3 \times 10^{-7}, 3.2 \times 10^{4}, 4.5 \times 10^{4}, 1.9 \times 10^{7}, 5.7 \times 10^{13} \)