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Value Comparison Problems Flashcards

7 cards from real PI practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Value Comparison Problems flashcards as text

  1. Compare: (−3)^2 vs. −3^2. Which is greater?

    Answer: (−3)^2

    (−3)^2 = 9, while −3^2 = −9, so (−3)^2 is greater.

  2. Which is larger: 40% of 3/5, or 3/5 of 40%?

    Answer: They are equal

    Multiplication is commutative: 0.40 × 0.60 = 0.60 × 0.40 = 0.24 in both cases.

  3. Store A offers 30% off $80. Store B offers $25 off the same item. Which deal saves more money?

    Answer: Store B saves more ($25)

    Store A saves 30% × $80 = $24; Store B saves $25, so Store B is the better deal.

  4. Compare 1/3 + 1/4 with 1/2. Which is greater?

    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.

  5. If x = −5, compare x^2 and |x| × 5. Which is greater?

    Answer: They are equal

    x^2 = (−5)^2 = 25 and |x| × 5 = 5 × 5 = 25, so they are equal.

  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?

    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.

  7. Compare: 0.005 × 1000 vs. 0.5 × 10. Which is greater?

    Answer: They are equal

    0.005 × 1000 = 5 and 0.5 × 10 = 5, so they are equal.