Question

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



(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Response area, Response area, Response area, Response area, Response area, Response area
The option "\(2.4\times10^3\)" (3 of 6) has been selected.

0.0062 7.6 x 10^-2 2.4 x ^3 8,900 1.2 x 10^4 5.5 x 10^4

Answer 1

To order the numbers from least to greatest, let's first convert all the scientific notation to standard decimal form for easier comparison:

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

Now, let's list them in decimal form:

- \(0.0062 = 0.0062\)
- \(7.6 \times 10^{-2} = 0.076\)
- \(2.4 \times 10^3 = 2400\)
- \(8,900 = 8900\)
- \(1.2 \times 10^4 = 12000\)
- \(5.5 \times 10^4 = 55000\)

Now we can arrange them in order from least to greatest:

1. \(0.0062\)
2. \(0.076\)
3. \(2400\)
4. \(8900\)
5. \(12000\)
6. \(55000\)

So the ordered numbers from least to greatest are:

- \(0.0062\)
- \(7.6 \times 10^{-2}\)
- \(2.4 \times 10^3\)
- \(8900\)
- \(1.2 \times 10^4\)
- \(5.5 \times 10^4\)

Simply place them in the response areas in this order.