Free Printable U7 Sub 1 Rational and Irrational Numbers

1.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

2.

.141414141414...

a)

Rational

b)

Irrational

3.

√2

a)

Rational

b)

Irrational

4.

√25

a)

Rational

b)

Irrational

5.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

6.

What type of number is π ?

a)

Rational

b)

Irrational

7.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

8.

between which if these does √27 lay on a number line

a)

5 and 6

b)

6 and 7

c)

4 and 5

d)

8 and 9

9.

A perfect square is which type of number?

a)

Rational

b)

Irrational

10.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

11.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

12.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

13.

Between which two whole numbers does the √115 fall?

a)

9 and 10

b)

10 and 11

c)

9 and 11

d)

11 and 12

14.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

15.

Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

16.

a)

A

b)

B

c)

C

d)

D

17.

Write 4/100 as a decimal

a)

.40

b)

.04

c)

4.4

d)

4

18.

How can you write 0.43 as a rational number?

a)

43/10

b)

43/1000

c)

43/100

d)

43/1

19.

Convert 11/20 from a fraction to a decimal

a)

5.5

b)

.55

c)

.11

d)

.1120

20.

Convert 2/5 from a fraction to a decimal

a)

.02

b)

.04

c)

.2

d)

.4

21.

Complete the statement using <, = or >.
−9.43 __ −9.34

a)

>

b)

<

c)

=

d)

none

22.

Complete the statement using <, = or >.

−2.2 __ −2.42

a)

>

b)

<

c)

=

d)

none

23.

Complete the statement using <, = or >.

−1.82 __ −1.81

a)

>

b)

<

c)

=

d)

none

24.

Complete the statement using <, = or >.

\frac{15}{8}

______

1\ \frac{7}{8}

a)

>

b)

<

c)

=

d)

none

25.

Complete the statement using <, = or >.

-4\frac{6}{10}

______

-4.65

a)

>

b)

<

c)

=

d)

none

26.

Complete the statement using <, = or >.

-5\frac{3}{11}

______

-5.\overline{2}

a)

>

b)

<

c)

=

d)

none

27.

Check the highest and the lowest number:

a)

$-\frac{7}{5}$

b)

$-1\ \frac{5}{11}$

c)

$-1.45$

d)

$-1\ \frac{91}{200}$

28.

.6666666 is an example of .....

a)

a terminating decimal

b)

a complicated problem

c)

a repeating decimal

d)

uh.... not this one! =]

29.

A terminating decimal is a decimal that ...

a)

ends

b)

smells

c)

repeats

d)

difficult

30.

A rational number is a number that can be written as a ...

a)

A whole number

b)

An integer

c)

A fraction

d)

A pizza

31.

A rational number's denominator CANNOT be...

a)

1

b)

2

c)

0

d)

negative

32.

Convert to a decimal

6/7

a)

.142857...

b)

.428571...

c)

.715285...

d)

.857142...

33.

Convert to a decimal
2 ⅘

a)

.280

b)

2.80

c)

2.40

d)

.240

34.

Convert to a decimal
54 ⅜

a)

54.375

b)

54.125

c)

54.625

d)

54.38

35.

2.4563 is an example of what type of decimal?

a)

terminating

b)

repeating

36.

Write this fraction as a decimal.
9/16

a)

.563

b)

.916

c)

.500

d)

1.78

37.

Convert 0.264 to a fraction.

a)

88/333

b)

66/25

c)

2/9

d)

33/125

38.

Convert 0.35 to a fraction.

a)

35/99

b)

7/20

c)

3.5/100

d)

3/5

39.

What is the "I can" statement for Ordering Rational Numbers Assignment?

a)

I can compare and order rational numbers in a variety of ways.

b)

I can compare and order numbers in many ways.

c)

I can compare and order numbers in a variety of ways.

d)

I can order numbers in a variety of ways.

40.

The table shows the free throw statistics for four players on Harlandale Middle School’s basketball team. Who had the best free throw statistics? Show your work.

a)

Augustin

b)

Omar

c)

Noah

d)

Diego

41.

Look at the number line provided. Which point represents a number less than 0 but greater than $-\frac{1}{2}$ ?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

42.

An Inequality is shown. $-\frac{1}{3}\le x<\sqrt{2}$ Which value of x makes the inequality true?

a)

$-0.35$

b)

$20\%$

c)

$\frac{13}{9}$

d)

$\sqrt{2}$

43.

On Friday, there is an 80% chance of the temperature reaching above 100°. On Saturday, there is a 7 out of 9 chance that the temperature will exceed 100°. On Sunday, there is a 75% chance that it is going to 103°. Which day has the least chance that the temperature will exceed 100°?

a)

Friday

b)

Saturday

c)

Sunday

44.

Ms. Cantu surveyed her students about their favorite flavor of ice cream. In her second period class, $\frac{7}{25}$ preferred vanilla. In her fourth period class, 8 out of 27 students preferred vanilla. In her sixth period class, 30% preferred vanilla. In which class did the greatest fraction of the students prefer vanilla ice cream? Show your work.

a)

Second Period

b)

Fourth Period

c)

Sixth Period

45.

The inequality represents the spine thickness, in centimeters, of various books on a shelf.
$0.15<x<\frac{18}{5}$
Which value of x could represent the thickness of a book on this shelf?

a)

$\frac{7}{2}$

b)

$3.65$

c)

$\frac{14}{100}$

d)

$0.105$

46.

Two numbers are shown on the number line. Which value is NOT located between these two numbers on the number line?

a)

$2\pi$

b)

$\sqrt{16}$

c)

$\frac{16}{\pi}$

d)

$\frac{\pi^2}{16}$

47.

The table shows the portion of a day four students used to build a website. List the students in order from the greatest amount of time used to the least amount of time used.

a)

Ernesto, Jamall, Paul, Andrew

b)

Andrew, Paul, Jamall, Ernesto

c)

Paul, Andrew, Ernesto, Jamall

d)

Andrew, Jamall, Paul, Ernesto

48.

Four people each bought a $20,000 new car three years ago. Today the value of each car has decreased by a different amount. Jolene’s car lost $\frac{1}{4}$ of its value, Hannah’s lost 30% of its value, Keiko’s car lost $\frac{\sqrt{3}}{8}$ of its value, and Marcus’ car lost 0.28 of its value. Which of the following lists the car owners according to the current value of their cars, from greatest to least?

a)

Jolene, Marcus, Hannah, Keiko

b)

Hannah, Marcus, Jolene, Keiko

c)

Keiko, Jolene, Marcus, Hannah

d)

Jolene, Marcus, Keiko, Hannah

49.

$\frac{2}{9}<x<29\%$

An inequality is shown. Which value of x will NOT make the inequality true?

a)

$\frac{29}{111}$

b)

$\sqrt{0.04}$

c)

$0.239$

d)

$\frac{1}{4}$

50.

Four friends record the portion of their daily calorie consumption that they eat at breakfast. Which list shows the results in order from least to greatest?

a)

$0.35,\ \frac{1}{3},\ \frac{1}{4},\ 20\%$

b)

$20\%,\ \frac{1}{3},\ \frac{1}{4},\ 0.35$

c)

$20\%,\ \frac{1}{4},\ \frac{1}{3},\ 0.35$

d)

$\frac{1}{4},\ 20\%,\ \frac{1}{3},\ 0.35$

51.

During part of his training exercises, Joshua biked 15.8 miles through the country, jogged $\sqrt{235.5}$ miles on a wooded trail, and swam $15\frac{3}{5}$ miles worth of laps in the Olympic-sized pool at the community center. Order Joshua’s training exercises from greatest to least. Show your work

a)

$15.8,\ 15\frac{3}{5},\ \sqrt{235.5}$

b)

$\sqrt{235.5},\ 15.8,\ 15\frac{3}{5}$

c)

$15\frac{3}{5},\ 15.8,\ \sqrt{235.5}$

d)

$15.8,\ \sqrt{235.5},\ 15\frac{3}{5}$

52.

A math teacher uses a fraction to score quizzes. A student who correctly answers 3 out of 4 questions on a quiz earns a score of $\frac{3}{4}$ . The same teacher uses a decimal to score major tests. A student who correctly answers 92 out of 100 questions on a major test earns a score of 0.92.
The list below shows David’s scores on quizzes and major tests for this semester. What is David’s best score on the quizzes and major tests?

$\left\{0.8,\ \frac{2}{3},\ \frac{3}{5},\ \frac{11}{12},\ 0.825,\ \frac{7}{8},\ 0.91,\ \frac{4}{5},\ 0.85\right\}$

a)

$0.825$

b)

$0.91$

c)

$\frac{11}{12}$

d)

$\frac{7}{8}$

53.

Which list of numbers are shown on the number line?

a)

$6\ \frac{2}{9},\ \sqrt{42},\ 6\ \frac{3}{16},\ \sqrt{48}$

b)

$6\ \frac{2}{9},\ \sqrt{39},\ 6\ \frac{3}{16},\ \sqrt{48}$

c)

$6\ \frac{2}{9},\ \sqrt{42},\ 6\ \frac{9}{16},\ \sqrt{48}$

d)

$6\ \frac{2}{9},\ \sqrt{33},\ 6\ \frac{3}{16},\ \sqrt{39}$

54.

The members of an investment club report the values of their portfolios regularly. At their most recent meeting, the value of Jane’s portfolio had increased by $\frac{1}{8}$ Don’s portfolio had increased by 15.2%, Hao’s portfolio had increased by 0.142 of its value, and the value of Sonya’s portfolio had increased by $\frac{\sqrt{2}}{8}$ . Which of the following lists the members in the club in order from smallest gain to the greatest gains?

a)

Sonya, Don, Hao, Jane

b)

Jane, Hao, Don, Sonya

c)

Jane, Sonya, Hao, Don

d)

Hao, Sonya, Don, Jane

55.

Convert to a decimal (if necessary):

a)

0.4

b)

2.66...

c)

0.375

d)

0.67

56.

Convert to a decimal (if necessary):

a)

1.45

b)

14.5

c)

0.145

d)

145.0

57.

Convert to a decimal (if necessary):

a)

1.5625

b)

0.72

c)

0.64

d)

0.48

58.

Convert to a decimal (if necessary):

a)

0.005

b)

0.50

c)

50.0

d)

5.0

59.

Convert to a decimal (if necessary):

a)

0.60

b)

1.66....

c)

0.785

d)

0.80

60.

Write this fraction as a decimal.
9/16

a)

.563

b)

.916

c)

.500

d)

1.78

61.

Convert 2/9 to a decimal

a)

0.222...

b)

0.29...

c)

0.92....

d)

0.4

62.

Convert 0.35 to a fraction.

a)

35/99

b)

7/20

c)

3.5/100

d)

3/5

63.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

64.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

65.

A rational number can be written as a fraction.

a)

True

b)

False

66.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, whole

67.

Classify the number 3

a)

Natural, Whole, Integer, Rational

b)

Whole, Rational

c)

Integer

d)

Rational

68.

How would 5/9 be classified?

a)

rational and real

b)

whole and integer

c)

only real

d)

only irrational

69.

0 is a whole number

a)

True

b)

False

70.

What kind of number is -3?

a)

rational

b)

irrational

c)

whole

d)

natural

71.

What kind of number is π ?

a)

rational

b)

irrational

c)

whole

d)

integer

72.

Is 3.74 a rational number?

a)

yes

b)

no

73.

Is -5/8 a rational number?

a)

yes

b)

no

74.

The following set of numbers are called what?
{0, 1, 2, 3....}

a)

Whole numbers

b)

Integers

c)

Plain Numbers

d)

Irrational numbers

75.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

76.

Which number is a rational number?

a)

2.25

b)

-8.78654684598.....

c)

Square root of 99

d)

3.14...

77.

The square root of 57 is ...

a)

rational

b)

irrational

78.

The square root of 36 is ...

a)

rational

b)

irrational

79.

The square root of 2 is an irrational number because...

a)

All square roots are irrational

b)

The answer is a decimal that never stops

c)

Two is an even number

d)

The answer is 1

80.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

81.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

82.

-17.5

a)

Rational

b)

Irrational

83.

Given the following radical, decide if it is rational or irrational:
√121

a)

Rational

b)

Irrational

84.

A perfect square is which type of number?

a)

Rational

b)

Irrational

85.

A non-perfect square is which type of number?

a)

Rational

b)

Irrational

86.

A whole number is which type of number?

a)

Rational

b)

Irrational

87.

A fraction is which type of number?

a)

Rational

b)

Irrational

88.

A decimal that stops (terminates) is which type of number? Example: 2.75

a)

Rational

b)

Irrational

89.

The area of a square painting is 81 cm². What is the side length of the painting?

a)

40.5 cm

b)

162 cm

c)

6,561 cm

d)

9 cm

90.

-10, 10 and 0 are all examples of___________

a)

Whole Numbers

b)

Integers

c)

Irrational numbers

U7 Sub 1 Rational and Irrational Numbers

Total questions: 90

Worksheet time: 4hrs 56mins

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