PI Value Comparison Problems 3 — Questions and Answers
Question 1: Compare: (−3)^2 vs. −3^2. Which is greater?
- (−3)^2 (Correct answer)
- −3^2
- They are equal
- Cannot be determined
Correct answer: (−3)^2
(−3)^2 = 9, while −3^2 = −9, so (−3)^2 is greater.
Question 2: Which is larger: 40% of 3/5, or 3/5 of 40%?
- 40% of 3/5
- 3/5 of 40%
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
Multiplication is commutative: 0.40 × 0.60 = 0.60 × 0.40 = 0.24 in both cases.
Question 3: Store A offers 30% off $80. Store B offers $25 off the same item. Which deal saves more money?
- Store A saves more ($24)
- Store B saves more ($25) (Correct answer)
- They save the same
- Cannot be determined
Correct answer: Store B saves more ($25)
Store A saves 30% × $80 = $24; Store B saves $25, so Store B is the better deal.
Question 4: Compare 1/3 + 1/4 with 1/2. Which is greater?
- 1/3 + 1/4 (Correct answer)
- 1/2
- They are equal
- Cannot be determined
Correct answer: 1/3 + 1/4
1/3 + 1/4 = 4/12 + 3/12 = 7/12 ≈ 0.583, which is greater than 1/2 = 0.500.
Question 5: If x = −5, compare x^2 and |x| × 5. Which is greater?
- x^2
- |x| × 5
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
x^2 = (−5)^2 = 25 and |x| × 5 = 5 × 5 = 25, so they are equal.
Question 6: A recipe calls for 2 cups of flour per 3 cups of water. Another calls for 3 cups of flour per 4 cups of water. Which has a higher flour-to-water ratio?
- First recipe (2:3)
- Second recipe (3:4) (Correct answer)
- They are equal
- Cannot be determined
Correct answer: Second recipe (3:4)
2/3 ≈ 0.667 while 3/4 = 0.750, so the second recipe has more flour per cup of water.
Question 7: Compare: 0.005 × 1000 vs. 0.5 × 10. Which is greater?
- 0.005 × 1000
- 0.5 × 10
- They are equal (Correct answer)
- Cannot be determined
Correct answer: They are equal
0.005 × 1000 = 5 and 0.5 × 10 = 5, so they are equal.
PI Value Comparison Problems 3
Compare: (−3)^2 vs. −3^2.
Which is greater?