Rational or Irrational
is the square root of 81 rational or irrational?
Rational
What is 0.555555... written as a simplified fraction?
5/9
Which two consecutive whole numbers does square root of 50 lie between?
7 and 8
Order these numbers from least to greatest: sqrt(16), 3.8, sqrt(10), 4.2.
sqrt(10), 3.8, sqrt(16), 4.2
Evaluate the expression: sqrt(36) + sqrt(64).
14
Is $0.151151115...$ rational or irrational?
Irrational (it is a non-terminating, non-repeating decimal).
What is 0.2727... written as a simplified fraction? Reduce to simpliest form
3/11 or 27/99
What is the closest whole number to the square root of 78?
9
Is sqrt(20) located closer to 4 or 5 on a number line?
Closer to 4 (sqrt(20) is about 4.47).
Convert 7/15 into a decimal rounded to the nearest hundredth.
0.47
is 5 + the square root of 16 rational or irrational
Rational
What is 1.433333.... to a simplified fraction
129/90, 1 39/90
Estimate the square root of 35 to the nearest hundredth.
5.85-5.95
Which square root expression lies strictly between 5.20 and 5.30 on a number line: sqrt(26), sqrt(27), or sqrt(29)?
sqrt(27) (because 5.20 squared is 27.04 and 5.30 squared is 28.09).
Sam claims that sqrt(50) is halfway between 7 and 8 because 50 is halfway between 0 and 100. Why is he incorrect?
Square roots do not scale evenly. The midpoint between 7 and 8 is 7.5, which equals sqrt(56.25), not sqrt(50).
Is 3 x pi rational or irrational?
Irrational (the product of a non-zero rational number and an irrational number is irrational).
Turn -2.16666666... into a simplified fraction
-2 1/6 or -13/6
Estimate the square root of 88 to the nearest hundredth
9.28-9.38
Which integer N makes sqrt(N) fall between 8.10 and 8.20?
N = 66 (because 8.10 squared is 65.61 and 8.20 squared is 67.24).
A square plot has an area of 75 square feet. What is its perimeter, rounded to the nearest tenth of a foot?
34.6 feet (Side length = sqrt(75) = 8.66 feet, and 4 * 8.66 = 34.6 feet).
True or False: The sum of two irrational numbers is always irrational.
False
Convert (3.8111...) to a simplified improper fraction.
343/90 or 3 73/90
Determine which is larger: the square root of 52 or 7.22
7.22
Calculate the distance on a number line between sqrt(15) and 3.80, rounded to the nearest hundredth.
0.04-0.07 (sqrt(15) is about 3.87, and 3.87 - 3.80 = 0.07).
Is the sum sqrt(3) + sqrt(12) rational or irrational? Explain.
Irrational (sqrt(12) = 2 * sqrt(3), so the sum is 3 * sqrt(3), which is non-repeating and non-terminating).