Question

Think About the Process  If the exponents of 10​ increase, how does the number​ change? Write the following in order from least to greatest.
1.63 times 10 Superscript 8
1.63 times 10 Superscript 5
1.63 times 10 squared
1.63 times 10 Superscript negative 2
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Part 1
If the exponents of 10​ increase, how does the number​ change?
A.
The number decreases.
B.
The number increases.
C.
The number stays the same.

Answer 1

If the exponents of 10 increase, the number represented will increase as well. This is because larger exponents of 10 correspond to larger values when multiplied by the same coefficient.

So the correct answer to the question is:

**B. The number increases.**

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Now, to write the numbers in order from least to greatest, we first convert each expression into its decimal form:

1. **1.63 × 10⁸** = 163,000,000
2. **1.63 × 10⁵** = 163,000
3. **1.63 × 10²** = 163
4. **1.63 × 10⁻²** = 0.0163

Now we can order them from least to greatest:

1. **1.63 × 10⁻²** = 0.0163
2. **1.63 × 10²** = 163
3. **1.63 × 10⁵** = 163,000
4. **1.63 × 10⁸** = 163,000,000

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

1.63 × 10⁻², 1.63 × 10², 1.63 × 10⁵, 1.63 × 10⁸.