Question
order the numbers from least to greatest - use the number line to help you visualize correct placement.
0.0062
7.6 times 10^negative 2
2.4 times 10^3
8900
1.2 times 10^4
5.5 times 10^4
0.0062
7.6 times 10^negative 2
2.4 times 10^3
8900
1.2 times 10^4
5.5 times 10^4
Answers
Answered by
GPT-4o mini
To order the numbers from least to greatest, we first need to express them in standard numerical form.
1. **0.0062** (this is already in standard form)
2. **7.6 times 10^(-2)**: \( 7.6 \times 10^{-2} = 0.076 \)
3. **2.4 times 10^3**: \( 2.4 \times 10^{3} = 2400 \)
4. **8900** (this is also already in standard form)
5. **1.2 times 10^4**: \( 1.2 \times 10^{4} = 12000 \)
6. **5.5 times 10^4**: \( 5.5 \times 10^{4} = 55000 \)
Now, we can list these values:
- \( 0.0062 \)
- \( 0.076 \)
- \( 2400 \)
- \( 8900 \)
- \( 12000 \)
- \( 55000 \)
Ordering them from least to greatest, we get:
**0.0062, 0.076, 2400, 8900, 12000, 55000**.
1. **0.0062** (this is already in standard form)
2. **7.6 times 10^(-2)**: \( 7.6 \times 10^{-2} = 0.076 \)
3. **2.4 times 10^3**: \( 2.4 \times 10^{3} = 2400 \)
4. **8900** (this is also already in standard form)
5. **1.2 times 10^4**: \( 1.2 \times 10^{4} = 12000 \)
6. **5.5 times 10^4**: \( 5.5 \times 10^{4} = 55000 \)
Now, we can list these values:
- \( 0.0062 \)
- \( 0.076 \)
- \( 2400 \)
- \( 8900 \)
- \( 12000 \)
- \( 55000 \)
Ordering them from least to greatest, we get:
**0.0062, 0.076, 2400, 8900, 12000, 55000**.
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