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.

Number Line" Images – Browse 1,517 Stock Photos, Vectors, and Video | Adobe Stock

(6 points)
Responses:
5.7 * 10^13
9.3 * 10^-7
3.2 * 10^4
4.5 * 10^4
1.9 * 10^7
-7.6 * 10^-9

Answer 1

To order the given numbers from smallest to largest, we first need to convert them into a comparable format, ideally decimal notation or scientific notation. Here's what the numbers look like when converted:

1. \( 5.7 \times 10^{13} = 57,000,000,000,000 \)
2. \( 9.3 \times 10^{-7} = 0.00000093 \)
3. \( 3.2 \times 10^{4} = 32,000 \)
4. \( 4.5 \times 10^{4} = 45,000 \)
5. \( 1.9 \times 10^{7} = 19,000,000 \)
6. \( -7.6 \times 10^{-9} = -0.0000000076 \)

Now we can list these numbers in order from smallest to largest:

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. \( 5.7 \times 10^{13} \)

Thus, the final ordered list from smallest to largest is:

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