plot 2π and 4√3 on the decimal number line.

Question

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

2π and 4√3

Answer 1

To plot 2π on the decimal number line, we need to multiply 2 by the value of π which is approximately 3.14159. Therefore, 2π is approximately 6.28318.

To plot 4√3 on the decimal number line, we need to multiply 4 by the square root of 3, which is approximately 1.73205. Therefore, 4√3 is approximately 6.92820.

So, on the decimal number line:
2π ≈ 6.28318
4√3 ≈ 6.92820

Comparing them:
6.28318 < 6.92820

Therefore, 2π is less than 4√3.