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

Question

0.0062
7.6 times 10^negative 2
2.4 times 10^3
8900
1.2 times 10^4
5.5 times 10^4

Answer 1

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.