Question

Order the numbers from least to greatest - use the number line to help you visualize correct placement.

0.0062

7.6x10^(-2)

2.4x10^(3)

8,900

1.2x10^(4)

5.5x10^(4)

Answer 1

To order the numbers from least to greatest, let’s first convert each number into its decimal form for easier comparison:

1. **0.0062** is already in decimal form.
2. **7.6×10^(-2)** can be converted:
\[
7.6 \times 10^{-2} = 0.076
\]
3. **2.4×10^(3)** can be converted:
\[
2.4 \times 10^{3} = 2400
\]
4. **8,900** is already in decimal form.
5. **1.2×10^(4)** can be converted:
\[
1.2 \times 10^{4} = 12000
\]
6. **5.5×10^(4)** can be converted:
\[
5.5 \times 10^{4} = 55000
\]

Now we list the numbers in decimal form:
- 0.0062
- 0.076
- 2400
- 8900
- 12000
- 55000

Now we can order them from least to greatest:

1. **0.0062**
2. **0.076**
3. **2400**
4. **8900**
5. **12000**
6. **55000**

So, the ordered list from least to greatest is:
**0.0062, 0.076, 2400, 8900, 12000, 55000**.