Question

Write the following numbers in order from least to greatest.
6.51 times 10 Superscript 7
6.51 times 10 Superscript negative 3
6.51 times 10 Superscript 4
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Part 1
Choose the correct answer below.
A.
6.51 times 10 Superscript 7​, 6.51 times 10 Superscript 4​, 6.51 times 10 Superscript negative 3
B.
6.51 times 10 Superscript negative 3​, 6.51 times 10 Superscript 4​, 6.51 times 10 Superscript 7
C.
6.51 times 10 Superscript negative 3​, 6.51 times 10 Superscript 7​, 6.51 times 10 Superscript 4
D.
6.51 times 10 Superscript 4​, 6.51 times 10 Superscript negative 3​, 6.51 times 10 Superscript 7

Answer 1

To order the numbers \( 6.51 \times 10^7 \), \( 6.51 \times 10^{-3} \), and \( 6.51 \times 10^4 \) from least to greatest, we need to convert them to their decimal forms:

1. \( 6.51 \times 10^7 = 65,100,000 \)
2. \( 6.51 \times 10^{-3} = 0.00651 \)
3. \( 6.51 \times 10^4 = 65,100 \)

Now, comparing the decimal forms:

- \( 0.00651 \) is the smallest.
- \( 65,100 \) is the next.
- \( 65,100,000 \) is the largest.

So, the numbers in order from least to greatest are:

- \( 6.51 \times 10^{-3} \)
- \( 6.51 \times 10^4 \)
- \( 6.51 \times 10^7 \)

The correct answer is:

**B. \( 6.51 \times 10^{-3}, 6.51 \times 10^4, 6.51 \times 10^7 \)**