Number Theory and Arithmetic Flashcards
6 cards from real IMSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Number Theory and Arithmetic flashcards as text
What is the remainder when 47 is divided by 5?
Answer: 2
47 ÷ 5 = 9 remainder 2, since 5 × 9 = 45 and 47 - 45 = 2.
Which number is divisible by both 3 and 4?
Answer: 36
36 ÷ 3 = 12 and 36 ÷ 4 = 9, so 36 is divisible by both.
What is the absolute value of −15?
Answer: 15
Absolute value measures distance from zero, so |−15| = 15.
Express 0.35 as a fraction in simplest form.
Answer: 7/20
0.35 = 35/100; dividing numerator and denominator by 5 gives 7/20.
What is the value of (−3)⁴?
Answer: 81
(−3)⁴ = (−3)(−3)(−3)(−3) = 81, since a negative number raised to an even power is positive.
Which of the following is NOT an integer?
Answer: √7
√7 ≈ 2.646, which is irrational and not an integer; the others are all whole numbers or their negatives.