U1: Rational vs. Irrational Flashcards
A number is ___ if it can be written as a fraction
rational
A number is ___ if it cannot be written as a fraction
irrational
Integers (whole numbers) are rational or irrational?
Rational
Fractions are rational or irrational?
Rational
Terminating (ending) decimals are rational or irrational?
Rational
Repeating decimals (with a pattern) are rational or irrational?
Rational
Perfect square roots are rational or irrational?
Rational
Percents are rational or irrational?
Rational
Non-terminating (non-ending) and non-repeating (no pattern) decimals are rational or irrational?
Irrational
Imperfect square roots are rational or irrational?
Irrational
Multiples of π (pi) are rational or irrational?
Irrational
What are the first 3 digits of π (pi)?
3.14
4 is rational…why?
It’s an integer (whole number)
-12 is rational…why?
It’s an integer (whole number)
33 is rational…why?
It’s an integer (whole number)
1/2 is rational…why?
It’s a fraction
-7/8 is rational…why?
It’s a fraction
-11/12 is rational…why?
It’s a fraction
0.561 is rational…why?
It’s a decimal that terminates (ends)
0.312 is rational…why?
It’s a decimal that terminates (ends)
-9.1423 is rational…why?
It’s a decimal that terminates (ends)
0.121212… is rational…why?
It’s a decimal that repeats
0.143143… is rational…why?
It’s a decimal that repeats
-7.017017… is rational…why?
It’s a decimal that repeats
√36 is rational…why?
It’s a perfect square root
√121 is rational…why?
It’s a perfect square root
√49 is rational…why?
It’s a perfect square root
35% is rational…why?
It’s a percent
132% is rational…why?
It’s a percent
99% is rational…why?
It’s a percent
0.7834… is irrational…why?
It’s a decimal that doesn’t terminate and doesn’t repeat
0.9912… is irrational…why?
It’s a decimal that doesn’t terminate and doesn’t repeat
11.23291… is irrational…why?
It’s a decimal that doesn’t terminate and doesn’t repeat
√11 is irrational…why?
It’s not a perfect square root
√60 is irrational…why?
It’s not a perfect square root
√132 is irrational…why?
It’s not a perfect square root
4π (4 pi) is irrational…why?
It’s a multiple of π (pi)
-12π (-12 pi) is irrational…why?
It’s a multiple of π (pi)
100π (100 pi) is irrational…why?
It’s a multiple of π (pi)
In the decimal 0.3421… , what does the … (dot dot dot) mean?
That the decimal goes on forever
What is the difference between 0.2984 and 0.2984… ?
0.2984 terminates but 0.2984… goes on forever
Which one of the following is irrational?
1/4 , 0.289 , √225 , 16π
16π
Which one of the following is irrational?
29% , 0.29 , 0.2929… , √29
√29
Which one of the following is rational?
3.14341… , 3.14 , π , √314
3.14
Which one of the following is rational?
√99 , √100 , √101 , √102
√100
