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

Question

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.