Question

Medals, IDK

Answer 1

Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)

Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

Answer 2

1) is pretty open-ended. Any solution that fits the criteria will work.

For the rational number, it's easy, just pick a number between the two given numbers:

5.4

For the irrational number, it will be a little trickier. I'll start with √2 and see what I need to multiply it by to get in the ballpark:

√2 ≈ 1.414

Multiplying it by 4.5 we get:

4.5√2 ≈ 6.3640 (too high), let's try 4.0
4√2 ≈ 5.6569 (still too high, let's try 3.8
3.8√2 ≈ 5.3740 That is an irrational value in the range that you want.

Answer 3

Because I'm loved.. That's kinda why....cx

Answer 4

10/10