U1: Rational vs. Irrational

Question 1

A number is ___ if it can be written as a fraction

Answer 1

rational

Question 2

A number is ___ if it cannot be written as a fraction

Answer 2

irrational

Question 3

Integers (whole numbers) are rational or irrational?

Answer 3

Rational

Question 4

Fractions are rational or irrational?

Answer 4

Rational

Question 5

Terminating (ending) decimals are rational or irrational?

Answer 5

Rational

Question 6

Repeating decimals (with a pattern) are rational or irrational?

Answer 6

Rational

Question 7

Perfect square roots are rational or irrational?

Answer 7

Rational

Question 8

Percents are rational or irrational?

Answer 8

Rational

Question 9

Non-terminating (non-ending) and non-repeating (no pattern) decimals are rational or irrational?

Answer 9

Irrational

Question 10

Imperfect square roots are rational or irrational?

Answer 10

Irrational

Question 11

Multiples of π (pi) are rational or irrational?

Answer 11

Irrational

Question 12

What are the first 3 digits of π (pi)?

Answer 12

3.14

Question 13

4 is rational…why?

Answer 13

It’s an integer (whole number)

Question 14

-12 is rational…why?

Answer 14

It’s an integer (whole number)

Question 15

33 is rational…why?

Answer 15

It’s an integer (whole number)

Question 16

1/2 is rational…why?

Answer 16

It’s a fraction

Question 17

-7/8 is rational…why?

Answer 17

It’s a fraction

Question 18

-11/12 is rational…why?

Answer 18

It’s a fraction

Question 19

0.561 is rational…why?

Answer 19

It’s a decimal that terminates (ends)

Question 20

0.312 is rational…why?

Answer 20

It’s a decimal that terminates (ends)

Question 21

-9.1423 is rational…why?

Answer 21

It’s a decimal that terminates (ends)

Question 22

0.121212… is rational…why?

Answer 22

It’s a decimal that repeats

Question 23

0.143143… is rational…why?

Answer 23

It’s a decimal that repeats

Question 24

-7.017017… is rational…why?

Answer 24

It’s a decimal that repeats

Question 25

√36 is rational…why?

Answer 25

It’s a perfect square root

Question 26

√121 is rational…why?

Answer 26

It’s a perfect square root

Question 27

√49 is rational…why?

Answer 27

It’s a perfect square root

Question 28

35% is rational…why?

Answer 28

It’s a percent

Question 29

132% is rational…why?

Answer 29

It’s a percent

Question 30

99% is rational…why?

Answer 30

It’s a percent

Question 31

0.7834… is irrational…why?

Answer 31

It’s a decimal that doesn’t terminate and doesn’t repeat

Question 32

0.9912… is irrational…why?

Answer 32

It’s a decimal that doesn’t terminate and doesn’t repeat

Question 33

11.23291… is irrational…why?

Answer 33

It’s a decimal that doesn’t terminate and doesn’t repeat

Question 34

√11 is irrational…why?

Answer 34

It’s not a perfect square root

Question 35

√60 is irrational…why?

Answer 35

It’s not a perfect square root

Question 36

√132 is irrational…why?

Answer 36

It’s not a perfect square root

Question 37

4π (4 pi) is irrational…why?

Answer 37

It’s a multiple of π (pi)

Question 38

-12π (-12 pi) is irrational…why?

Answer 38

It’s a multiple of π (pi)

Question 39

100π (100 pi) is irrational…why?

Answer 39

It’s a multiple of π (pi)

Question 40

In the decimal 0.3421… , what does the … (dot dot dot) mean?

Answer 40

That the decimal goes on forever

Question 41

What is the difference between 0.2984 and 0.2984… ?

Answer 41

0.2984 terminates but 0.2984… goes on forever

Question 42

Which one of the following is irrational?

1/4 , 0.289 , √225 , 16π

Answer 42

16π

Question 43

Which one of the following is irrational?

29% , 0.29 , 0.2929… , √29

Answer 43

√29

Question 44

Which one of the following is rational?

3.14341… , 3.14 , π , √314

Answer 44

3.14

Question 45

Which one of the following is rational?

√99 , √100 , √101 , √102

Answer 45

√100