wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

ASSIGNMENT #1- MTH 103 Classifying Real #'s and Describing sets

Total questions: 35

Worksheet time: 9hrs 45mins

Name
Class
Date
1.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
2.

How would 5/9 be classified?

a)

Real and rational

b)

Real, rational, integer

c)

Real and irrational

d)

Imaginary

3.

How would 0.333... be classified?

a)

Real and irrational

b)

Real only

c)

Imaginary only

d)

Real and rational

4.

Which statement is true?

a)

Every rational number is an integer.

b)

Every whole number is a counting number.

c)

Every integer is a whole number.

d)

Every whole number is a rational number.

5.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

6.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
7.

What categories describe this number?

a)

Rational, Integer

b)

Rational,Whole, Integer

c)

Irrational, Integer

d)

Real, Irrational

8.

Fill in the blank. An integer is ____________ rational.

a)

sometimes

b)

always

c)

never

d)

only on Mondays

9.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
10.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
11.
A rational number can be written as a fraction?
a)
True
b)
False
12.
-10 is a whole number?
a)
True
b)
False 
13.
0.89 is a rational number?
a)
True
b)
False 
14.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

15.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

16.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

-4

a)

none of these

b)

whole

c)

integer

d)

rational

17.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

10

a)

none of these

b)

whole

c)

integer

d)

rational

18.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

1/4

a)

integer

b)

rational

c)

none of these

d)

whole

19.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

20.

A whole number is...

a)

any number on the number line

b)

a fraction

c)

a negative number

d)

a number with NO extra pieces; a counting number

21.
a)

Yes

b)

No

22.
a)

Yes

b)

No

23.

Explain the error(s).

a)

-1.2 isn't an integer.

b)

-2 isn't a whole number and 3.4 isn't a rational number.

c)

-2 isn't a whole number and -1.2 isn't an integer.

d)

The numbers are graphed correctly.

24.

What is 22 in a/b (fraction) form?

a)

22/1

b)

1/22

c)

d)

1⅗

25.
Express the following in Interval Notation
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
26.
Express the following in Interval Notation
-9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
27.
Express the following interval in Set notation:
(-7, 15]
a)
-7 ≤ x ≤ 15
b)
-7 < x ≤ 15
c)
-7 ≤ x < 15
d)
-7 < x < 15
28.
Look at the graph. Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
29.
Look at the Graph. Write the inequality in interval notation.
a)
[-4, -1)
b)
(-4, -1)
c)
(-4, -1]
d)
[-4, -1]
30.
Look at the picture. Which number line corresponds to [-2, 5]?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
31.
Write the set of numbers inset-builder notation.
(22, 98]
a)
{x ∣ 22 < x ≤ 98 }
b)
{x ∣ 22 ≤ x ≤ 98 }
c)
{x ∣ 22 ≤ x < 98 }
d)
{x ∣ 22 < x < 98 }
32.
What set notation does the number line graph represent?
a)
{x| x ≥-5 }
b)
{x| -5 ≥ x }
c)
{x| -5 ≥∞}
d)
{x| -5 ≤ x < ∞ }
33.
Look at the picture. Select the correct interval notation for the given number line.
a)
(-∞, -8) U (-4, ∞)
b)
(-∞, -8] U [-4, ∞)
c)
(-8, -4)
d)
[-8, -4]
34.

Which type of notation is this: {A, B, C, D, E, F, G, H, I, J, K, L, M}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequalities

35.

Write 

{xxϵ z, 2 < x<10}\left\{x\parallel x\epsilon\ z,\ 2\ <\ x<10\right\}  

in interval notation

a)

[2, 10]

b)

[2, 10)

c)

(2, 10]

d)

(2, 10)