Express the repeating decimal 0.(36), that is 0.363636…, as a fraction in simplest form.
Correct answer(s):
- 4/11
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Latest Quizzes
Determine whether sqrt(72) is a rational number or an irrational number.
Correct answer(s):
- Irrational
How many trailing zeros are at the end of 100! when written in base 10
Correct answer(s):
- 24
Calculate the least common multiple (LCM) of 18, 30, and 45.
Correct answer(s):
- 90
Find the greatest common divisor (highest common factor) of 462 and 756.
Correct answer(s):
- 42
Select all numbers that are perfect squares from: 2, 16, 27, 49, 50.
Correct answer(s):
- 16
- 49
What is the smallest nonnegative integer that must be added to 4,589 so the sum is divisible by 9?
Correct answer(s):
- 1
How many trailing zeros are there at the end of 100! (100 factorial)?
Correct answer(s):
- 24
Express the repeating decimal 0.363636… (0. 36) as a simplified fraction.
Correct answer(s):
- 4/11
Classify √45 as rational or irrational.
Correct answer(s):
- Irrational
Choose all the prime numbers from the list: 57, 61, 77, 89.
Correct answer(s):
- 61
- 89
Calculate the highest common factor (HCF) of 84, 126, and 210.
Correct answer(s):
- 42
Find the least common multiple (LCM) of 18 and 24.
Correct answer(s):
- 72
Determine whether the number 2,728 is divisible by 11.
Correct answer(s):
- Divisible by 11
Find the value of the digit 5 in the number 83,547.
Correct answer(s):
- 500
Find the remainder when 10^7 + 10^5 + 10^3 + 10 is divided by 9.
Correct answer(s):
- 4
Given two positive integers a and b with GCD(a,b) = 6 and LCM(a,b) = 180, and a = 36, find b.
Correct answer(s):
- 30
Express 7/12 as a decimal (up to the repeating part) and identify whether it is terminating or repeating.
Correct answer(s):
- 0.5833... (repeating 3)
If the prime factorization of n is 2^3 × 3^2 × 5, what is the number of positive divisors of n?
Correct answer(s):
- 24
Which of the following numbers is an irrational number
Correct answer(s):
- √3