Question

Rational Approximations

Question 1
Which number is located between 1 and 2 on the number line?
Responses
A
π

π 2
B
π

π 4
C
5
D
10
Question 2
Which number is located between 4 and 5 on the number line?
Responses
A 2π2π
B
8
C 2
2 5
D 5

Answer 1

Question 1: A (π/2).
π/2 ≈ 1.5708, which lies between 1 and 2. π/4 ≈ 0.785 (<1); 5 and 10 are >2.

Question 2: C (22/5).
22/5 = 4.4, which lies between 4 and 5. 2π ≈ 6.283 and 8 are >5; 5 is not strictly between 4 and 5.