Question

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

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(6 points)

(smallest number) Response area, Response area, Response area, Response area, Response area, Response area (largest number)

Options: 9.3x10^(-7) -7.6x10^(-9) 5.7x10^(13) 1.9x10^(7) 3.2x10^(4) 4.5x10^(4)

Answer 1

To order the given numbers from smallest to largest, we first need to convert all numbers into standard decimal form to better compare their magnitudes:

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

Now, let's compare these values:

- \( -7.6 \times 10^{-9} \) (smallest, a negative number)
- \( 9.3 \times 10^{-7} \) (next smallest, a small positive number)
- \( 3.2 \times 10^{4} = 32000 \)
- \( 4.5 \times 10^{4} = 45000 \)
- \( 1.9 \times 10^{7} = 19000000 \)
- \( 5.7 \times 10^{13} = 57000000000000 \) (largest)

Arranging the numbers from smallest to largest gives us:

1. \( -7.6 \times 10^{-9} \)
2. \( 9.3 \times 10^{-7} \)
3. \( 3.2 \times 10^{4} \)
4. \( 4.5 \times 10^{4} \)
5. \( 1.9 \times 10^{7} \)
6. \( 5.7 \times 10^{13} \)

Your final ordered response would be:

-7.6x10^(-9), 9.3x10^(-7), 3.2x10^(4), 4.5x10^(4), 1.9x10^(7), 5.7x10^(13)