Question

There are several approximations used for π, including 3. 14 and 22/7. π is approximately 3. 14159265358979. " a. Label πand the two approximations on the number line.

«–-|———|———|———|———|———|———|—» 3. 140 3. 141 3. 142 3. 143

Answer 1

Pi (π) is approximately 3.14159, but it's often rounded to 3.14 or expressed as the fraction 22/7. On a number line, π would be marked just right of 3.141, 3.14 would align with 3.140, and 22/7 would be just right of 3.142. These approximations are not exact and should be used based on the required precision.

Step-by-step explanation:

The Greek letter π (pi) is a mathematical constant representing the ratio of a circle's circumference to its diameter. The value of π is approximately 3.14159265358979, but for simplicity, it is often rounded to 3.14 or expressed as the fraction 22/7.

To visualize these approximations on a number line:

• π (3.14159265358979) would be very slightly to the right of 3.141 on the number line.
• 3.14, a common approximation of π, would be directly above 3.140 on the number line.
• 22/7, which is approximately 3.142857, would fall slightly to the right of 3.142 on the number line.

It is important to remember that while these approximations are close to the actual value of π, they are not exact. In practical situations, the level of precision required will dictate which approximation is most appropriate to use.