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.
fill in the blank dont change the answers that are already put in


-square root of 12 < -pi < ______ <______<_______<_____< 3.446< _____ < ___< 4.79<6.28< 6.85
1.57, -3.14, 𝜋/2, square root of 23, 2𝜋, square root of 47

Answer 1

To list the numbers shown in the number line in increasing order and identify their decimal approximations using 3.14 as an approximation for 𝜋, we will calculate each number:

1. Square root of 12: \[ \sqrt{12} \approx 3.464 \]

2. -π: \[ -3.14 \]

3. π/2: \[ \frac{3.14}{2} \approx 1.57 \]

4. Square root of 23: \[ \sqrt{23} \approx 4.796 \]

5. 2π: \[ 2 \times 3.14 \approx 6.28 \]

6. Square root of 47: \[ \sqrt{47} \approx 6.855 \]

Now that we have the approximate values for each number, we can fill in the blanks in increasing order as you requested:

• square root of 12 (≈ 3.464) < -π (≈ -3.14) < 1.57 < π/2 < square root of 23 (≈ 4.796) < 3.446 < square root of 47 (≈ 6.855) < 6.28 < 4.79 < 6.28 < 6.85 < 2π (≈ 6.28)

Now arranging them correctly in increasing order, the final sequence with approximations filled in is:

• square root of 12 < -3.14 < 1.57 < π/2 < 3.446 < square root of 23 < 4.796 < 6.28 < 6.855 < 2π

Thus, the completed sentence in increasing order is:

-square root of 12 < -3.14 < 1.57 < π/2 < square root of 23 < 4.79 < 3.446 < square root of 47 < 6.28 < 6.85 < 2π