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Rational and Irrational Numbers / Absolute Value

Total questions: 40

Worksheet time: 20hrs 0mins

Name
Class
Date
1.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
2.
TRUE or FALSE: All integers are rational numbers.
a)
True
b)
False
3.
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 fraction.
c)
A rational number cannot be a repeating  decimal.
4.
What type of number is π ?
a)
Rational
b)
Irrational
5.
√7
a)
Rational 
b)
Irrational
6.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
7.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
8.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
9.
A repeating decimal (like 4.7777...) is what type of number?
a)
Rational 
b)
Irrational 
10.
8/15  +  (-6/15)
a)
14/15
b)
-2/15
c)
2/15
d)
-14/15
11.

Compare using < , > , or =

2/3 and .8

a)

<

b)

>

c)

=

12.
includes integers, fractions, terminating and repeating decimals.
a)
Rational Numbers
b)
Irrational Numbers
13.

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

a)

<

b)

>

c)

=

14.

Which symbol makes the statement true?

a)

<

b)

>

c)

=

15.
Order 2/3, 4/5, 8/15 and 3/5 from least to greatest
a)
4/5, 2/3, 3/5, 8/15
b)
8/15, 3/5, 2/3, 4/5
c)
2/3, 3/5, 4/5, 8/15
d)
2/3, 4/5, 3/5, 8/15
16.
  Which statement is true?
a)
1/2  >  3/4
b)
1/2 > 1/8
c)
1/2 < 1/4
d)
1/2 > 9/10
17.

Fill in the blank using =, >, or <:
0.012 (a)   -0.135

18.

What is the underlined place value?

0.123

a)

ones

b)

tenths

c)

hundredths

d)

thousandths

19.

Order the fractions from least to greatest. 12, 35, 27, 56\frac{1}{2},\ \frac{3}{5},\ \frac{2}{7},\ \frac{5}{6}  

a)

35, 12, 56, 27\frac{3}{5},\ \frac{1}{2},\ \frac{5}{6},\ \frac{2}{7}  

b)

12, 27, 35, 56\frac{1}{2},\ \frac{2}{7},\ \frac{3}{5},\ \frac{5}{6}  

c)

27 , 12, 35, 56\frac{2}{7\ ,}\ \frac{1}{2},\ \frac{3}{5},\ \frac{5}{6}  

20.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

21.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

22.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

23.

20 degree drop in temperature

a)

-20

b)

20

24.

A withdrawal of $15

a)

$15

b)

-$15

25.

A $30 deposit to your bank account

a)

$30

b)

-$30

26.

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|

27.

What is the opposite of -12

a)

12

b)

-12

c)

0

28.
On January 3rd the temperature was -17 degrees at 7am. At 3pm the temperature was 10 degrees. What is the difference between these two temperatures.
a)
7 degrees
b)
27 degrees
c)
37 degrees
d)
0 degrees
29.

When you add a number and it's opposite together, what will you get?

a)

zero

b)

an explosion

c)

it depends on the number

30.

(−2)+(−2)−4\left(-2\right)+\left(-2\right)-4  

a)

88  

b)

00  

c)

−4-4  

d)

−8-8  

31.


6+(−5)+56+\left(-5\right)+5  

a)

66  

b)

1616  

c)

−6-6  

d)

−16-16  

32.


6−4+56-4+5  

a)

−3-3  

b)

33  

c)

77  

d)

1515  

33.


(−3)+4−7\left(-3\right)+4-7  

a)

−8-8  

b)

−14-14  

c)

100100  

d)

−6-6  

34.


−8+8+(−7)-8+8+\left(-7\right)  

a)

99  

b)

77  

c)

−23-23  

d)

−7-7  

35.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
36.
-3(-4)
a)
-12
b)
7 
c)
-7
d)
12
37.
-36/6 =
a)
6
b)
-6
c)
32
d)
-32
38.
(-2)(-4)(-3)
a)
24
b)
-24
c)
8
d)
-21
39.

-10 x 3 x -2

a)

-60

b)

60

c)

63

d)

-30

40.
When dividing integers....
a)
follow the same rules as multiplying integers
b)
Follow the same rules as adding integers
c)
Follow the same rules as subtracting integers
d)
Always do the opposite