Free Printable Number System Study Guide

1.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

2.

What is the opposite of -3?

a)

3

b)

0

c)

-1/3

d)

1/3

3.

Express an integer: a debt of $50

a)

50

b)

-50

4.

Which is not an integer?

a)

-5

b)

12

c)

0

d)

-1/2

5.

What is the opposite of the integer on the number line?

a)

0

b)

-7

c)

7

d)

1

6.

Which letter on the number line represents -1?

a)

A

b)

B

c)

C

d)

D

7.

What is the value of E?

a)

-1

b)

-2

c)

1

d)

2

8.

Compare integers using <, >, =

-5 ___ -4

a)

<

b)

>

c)

=

9.

Order from least to greatest 3, -8, -10, 6

a)

3, -10, -8, 6

b)

6, 3, -8, -10

c)

-10, -8, 3, 6

d)

-8, -10, 3, 6

10.

Order from least to greatest:

-2, 4, 23, -1, 5, -3, 6

a)

-3, -2, -1, 4, 5, 6, 23

b)

23, 5, -1, -3, -2, 4, 6

c)

-1, -2, -3, 4, 5, 6, 23

d)

4, 5, 6, 23, -1, -2, -3

11.

The Mighty Milers just got the results from their last race. The final results are: Viva 13.18 sec., Hailey 11.02 sec., Natasha 15.1 sec., and Caden 13.2 sec. Which runner came in first place?

a)

Caden

b)

Natasha

c)

Hailey

d)

Viva

12.

Order the following decimals from least to greatest
0.54 0.5 0.85 0.8

a)

0.5 0.54 0.8 0.85

b)

0.54 0.5 0.8 0.85

c)

0.85 0.8 0.5 0.54

d)

0.8 0.5 0.85 0.54

13.

Order these fractions from GREATEST TO LEAST.

a)

2/3, 5/12, 1/4

b)

1/4, 2/3, 5/12

c)

5/12, 2/3, 1/4

d)

2/3, 1/4, 5/12

14.

Choose <, >, or = to fill in the circle and create a true statement.

a)

<

b)

>

c)

=

15.

Which of the following inequalities are correct?

a)

$-\frac{2}{7}<-\frac{3}{7}$

b)

$0>-\frac{3}{7}$

c)

$-\frac{3}{7}<-\frac{2}{7}$

16.

Evaluate each expression.
| 9 |

a)

0.9

b)

9

c)

-9

d)

90

17.

What is the absolute value of |-26|.

a)

26

b)

-26

c)

0

d)

-20

18.

The absolute value of |3| is 0.

a)

True

b)

False

19.

Select all answers that could represent a negative integer.

a)

deposit

b)

discount

c)

withdraw

d)

below zero

20.

Select all words that could be used to describe a positive integer.

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

21.

When describing elevation, a depth of 300 feet below sea level can be represented by what number?

a)

-300

b)

0

c)

300

22.

The absolute value of a number is its:

a)

Its opposite

b)

Distance from 0

c)

Its value

23.

Which number is the greatest?

a)

-1.8

b)

-1.08

c)

-0.08

24.

Which is at the highest elevation?

a)

300 feet below sea level

b)

-200 feet

c)

-240 feet

25.

Which number line shows 1/2

a)

A

b)

B

c)

C

d)

D

26.

A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.

a)

60

b)

−60 feet

c)

60 feet

d)

−60

27.

Compare the following rational numbers

$-0.5$ ____ $-\frac{3}{5}$

a)

>

b)

<

c)

=

28.

Compare the following rational numbers

$-\frac{11}{4}$ ____ $-2.75$

a)

>

b)

<

c)

=

29.

$\$ Order the following rational numbers from least to greatest.

$-\frac{7}{6},\ -1.26,\ -\frac{1}{2}$

a)

$-1.26,\ -\frac{7}{6},\ -\frac{1}{2}$

b)

$-\frac{7}{6},\ -1.26,\ -\frac{1}{2}$

c)

$-1.26,\ -\frac{1}{2},\ -\frac{7}{6}$

d)

$-\frac{1}{2},\ -\frac{7}{6},\ -1.26$

30.

18.5_____22.1

a)

<

b)

>

31.

-12.5 ______ 12.2

a)

<

b)

>

32.

1.9 _____ -1

a)

<

b)

>

33.

Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5

a)

>

b)

<

c)

=

34.

Marcia, Jim, Kyle, and Jen decided to participate in Bear Relays to see who could run the fastest. Marcia's time was 56.24 seconds. Jim's time was 56.20 seconds. Kyle's time was 56.287 seconds. Jen's time was 56.29 seconds. Which runner had the fastest time?

a)

Marcia

b)

Jim

c)

Kyle

d)

Jen

35.

Three students were reading the same novel. Romaisa read 3/5 of the novel, Syed read 17/25 of the novel, and Felix read 0.63 of the novel. Who has read the most?

a)

Romaisa

b)

Syed

c)

Felix

36.

a)

Andy

b)

Dana

c)

Becky

37.

Which number has the least value?

a)

0.4

b)

1/3

c)

5/6

38.

Evaluate each expression.
| 9 |

a)

0.9

b)

9

c)

-9

d)

90

39.

What is the absolute value of |-26|.

a)

26

b)

-26

c)

0

d)

-20

40.

Find the absolute value. | –3 |

a)

-3

b)

3

41.

Find the absolute value. I 5 I

a)

5

b)

-5

42.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

43.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

44.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

45.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

46.

$\frac{3}{5}\ =\$

(a)

47.

$\frac{14}{25}\ =$

a)

0.65

b)

0.56

c)

0.14

d)

0.25

48.

The Siberian Tiger can grow up to $10\frac{2}{5}$ feet long.

Express this length as a decimal.

a)

10.4

b)

10.2

c)

10.5

d)

10.6

49.

Jessie completed $\frac{3}{10}$ of her math homework.

What is the equivalent decimal of this fraction?

a)

0.10

b)

0.33

c)

0.13

d)

0.3

50.

$4\frac{5}{8}$ =

a)

4.58

b)

4.625

c)

4.85

d)

0.625

Number System Study Guide

Total questions: 50

Worksheet time: 2hrs 40mins

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