plot π/6 and 2- √3 on the decimal number line.

Based on your answer above, compare and using <, >, or =.

π/6 and 2- √3

1 answer

To plot π/6 on the decimal number line, we first need to convert it to a decimal.
π/6 is approximately equal to 0.5236. Let's plot this point on the number line.

π/6 ≈ 0.5236

Next, we need to plot 2 - √3 on the decimal number line.
To find the decimal value of 2 - √3, we need to find the square root of 3, which is approximately 1.732, and then subtract it from 2.

2 - √3 ≈ 2 - 1.732 ≈ 0.268

Now let's plot this point on the number line.

2 - √3 ≈ 0.268

With both points plotted on the number line, we can compare them:
π/6 ≈ 0.5236
2 - √3 ≈ 0.268

Since 0.5236 is greater than 0.268, we can say that π/6 is greater than 2 - √3.
Therefore, π/6 > 2 - √3.