List the numbers shown above in the number line in increasing order.

Question

Identify the decimal approximation below each number. Use 3.14 as an approximation for 𝜋.



-sq root 12

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-3.446
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4.79
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6.85
Question at position 2
2

square root of 23
square root of 47
pi
-3.14
π/2
6.28
1.57
2π

Answer 1

To list the numbers in increasing order, we need to first identify the approximate decimal values of the given numbers:

1. \(\sqrt{12}\) ≈ 3.464
2. \(\sqrt{23}\) ≈ 4.796 (since \(\sqrt{23} \approx 4.79\))
3. \(\sqrt{47}\) ≈ 6.855
4. \(\pi\) ≈ 3.14
5. \(\frac{\pi}{2}\) ≈ 1.57
6. \(2\pi\) ≈ 6.28 (since \(2 \cdot 3.14 \approx 6.28\))
7. -3.14 (this is negative)
8. -3.446 (this is also negative)

Now we can take these values and write them out in increasing order:

Ordered List:

1. -3.446
2. -3.14
3. 1.57 (\frac{\pi}{2})
4. 3.14 (\pi)
5. \sqrt{12} ≈ 3.464
6. \sqrt{23} ≈ 4.796
7. 6.28 (2\pi)
8. \sqrt{47} ≈ 6.855

Filling in the answers:

Question Blank 1 of 8: -3.446
Question Blank 2 of 8: -3.14
Question Blank 3 of 8: 1.57
Question Blank 4 of 8: 3.14
Question Blank 5 of 8: \(\sqrt{12}\)
Question Blank 6 of 8: \(\sqrt{23}\)
Question Blank 7 of 8: 6.28
Question Blank 8 of 8: \(\sqrt{47}\)

This places all the numbers in the correct increasing order along with the corresponding numbers below them.