To list the numbers in increasing order, we need to first identify the approximate decimal values of the given numbers:
- \(\sqrt{12}\) ≈ 3.464
- \(\sqrt{23}\) ≈ 4.796 (since \(\sqrt{23} \approx 4.79\))
- \(\sqrt{47}\) ≈ 6.855
- \(\pi\) ≈ 3.14
- \(\frac{\pi}{2}\) ≈ 1.57
- \(2\pi\) ≈ 6.28 (since \(2 \cdot 3.14 \approx 6.28\))
- -3.14 (this is negative)
- -3.446 (this is also negative)
Now we can take these values and write them out in increasing order:
Ordered List:
- -3.446
- -3.14
- 1.57 (\frac{\pi}{2})
- 3.14 (\pi)
- \sqrt{12} ≈ 3.464
- \sqrt{23} ≈ 4.796
- 6.28 (2\pi)
- \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.