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Math 9 3.1 Intro to Rational Numbers

Total questions: 58

Worksheet time: 4hrs 55mins

Name
Class
Date
1.

Compare using < , > , or =


5/6 ____ 7/8

a)

<

b)

>

c)

=

2.

Compare using < , > , or =


1/2 ____ 1.5

a)

<

b)

>

c)

=

3.

Compare using < , > , or =


0.25 ____ 1/4

a)

<

b)

>

c)

=

4.

Put the following numbers in order from

least to greatest.


2/5, 25/10, -250

a)

2/5, 25/10, -250

b)

-250, 25/10, 2/5

c)

25/10, 2/5, -250

d)

-250, 2/5, 25/10

5.

Convert 3/8 to a decimal.

a)

0.38

b)

0.375

c)

2.6

d)

0.4

6.

A recipe calls for ½ cup of sugar, ¼ cup of olive oil and 2/3 cups of flour.


Which ingredient will you need the least amount of?

a)

sugar

b)

olive oil

c)

flour

7.
-3 + 8 =
a)
5
b)
-5
c)
11
d)
-38
8.
7 -  -3 =
a)
-4
b)
10
c)
-73
d)
4
9.
-9 + -6 =
a)
-96
b)
-3
c)
-15
d)
3
10.
0.33333 is considered a ________ decimal
a)
repeating
b)
terminating
11.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
12.
Can the following situation be represented by a negative number?
Green Valley is 215 feet above sea level
a)
yes
b)
no
13.
Can the following situation be represented by a negative number?
John received a gift card for $25
a)
yes
b)
no
14.
Compare.
1.75        1¾
a)
<
b)
>
c)
=
15.
Compare.
3⅞       3.375
a)
<
b)
>
c)
=
16.
Compare.
-  ½          ⅓
a)
<
b)
>
c)
=
17.
-3/4 is between 0 and 1
a)
true
b)
false
18.
-3 2/3 is between -3 and -4
a)
true
b)
false
19.
5 1/4 is between 4 and 5
a)
true
b)
false
20.
-1 2/3 is between 0 and -1
a)
true
b)
false
21.
1.8 is between -1 and -2
a)
true
b)
false
22.
John has an account balance of -$25.  Mary has an account balance of -$10.  Who has a greater debt? (who owes more?)
a)
John
b)
Mary
23.
-4/5 is between -1 and 1
a)
true
b)
false
24.
- 0.9 is between -1 and 1
a)
true
b)
false
25.
-1 1/10 is between -1 and 1
a)
true
b)
false
26.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
27.
-9 + (-5)
a)
-14
b)
14
c)
-4
28.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
29.

Negative integers are on the ______ side of zero while Positive Integers are on the ________ side of zero.

a)

left, left

b)

right, right

c)

right, left

d)

left, right

30.
Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test.  Which equation best describes Bob progress on his math test?
a)
5 + 9 = 14
b)
-5 + -9 = -4
c)
-5 + -9 = -14
d)
5 + -9 = -4
31.
What do you get when you multiply a negative by a positive?
a)
Positive
b)
Negative
32.

Which set of numbers are ordered greatest to least?

a)

3/4, 2/3, 1/2, 1/4

b)

1/2, 2/3, 1/4, 3/4

c)

1/4, 1/2, 2/3, 3/4

d)

3/4, 1/2, 2/3, 1/4

33.

Put the following in order LEAST to GREATEST:

0.54, 2/5, 0.45

a)

2/5, 0.45, 0.54

b)

0.54, 2/5, 0.45

c)

0.54, 0.45, 2/5

d)

0.45, 2/5, 0.54

34.

David has a special deck of cards. Each card has a different number on it. The cards are 0.35, 4/5, 1/3, and 0.75. How many cards have a value greater than 1/2 (0.5)?

a)

one

b)

two

c)

three

d)

four

35.

Which list shows the days in order from coldest to warmest temperature?

a)

Thursday, Wednesday, Monday, Friday, Tuesday

b)

Wednesday, Friday, Thursday, Monday, Tuesday

c)

Friday, Wednesday, Thursday, Monday, Tuesday

d)

Tuesday, Monday, Thursday, Wednesday, Friday

36.
Which of the marks would represent 7.3 correctly?
a)
Blue
b)
Green
c)
Red
d)
Orange
37.
Which of the marks would represent -2.3 correctly?
a)
Blue
b)
Green
c)
Red
d)
Orange
38.
The Orange Mark could represent what number?
a)
I -3.7 I
b)
-3.7
c)
3.2
d)
4.1
39.
The Blue Mark could represent what number?
a)
5.2
b)
-5.2
c)
4.7
d)
5.7
40.
The Black Mark could represent what number?
a)
3.7
b)
4.1
c)
4.7
d)
-4.1
41.
A rational number can be written as a fraction.
a)
True
b)
False
42.
numbers that are less than zero and located to the left of zero on the number line
a)
positive numbers
b)
negative numbers
c)
integers
d)
signed numbers
43.
The Blue Mark could represent what number?
a)
5.2
b)
-5.2
c)
4.7
d)
5.7
44.
Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]
a)
-2, 3, -4, 5, -6, 7, -8
b)
-2, -4, -6, -8, 3, 5, 7
c)
-6, -8, -4, -2, 7, 5, 3
d)
-8, -6, -4, -2, 3, 5, 7
45.
Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 
a)
0, -4 1/2, -4.2, 4, -4
b)
-4 1/2, -4.2, -4, 0, 4
c)
-4 1/2, -4.2, -4, 4, 0
46.
45
a)
Rational 
b)
Irrational
47.
1/2
a)
Rational
b)
Irrational
48.
3.4567...
a)
Rational
b)
Irrational
49.
√10
a)
Rational
b)
Irrational
50.
√10
a)
Rational
b)
Irrational
51.
2 3/5 
a)
Rational
b)
Irrational
52.
Which is ordered from least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
53.
Which is ordered from least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
54.

Order the numbers from least to greatest.

a)

-1 1/4, -1 1/5, -0.99, 1 13/20, 1.8

b)

-1 1/4, -1 1/5, -0.99, 1.8, 1 13/20

c)

-0.99, -1 1/5, -1 1/4, 1.8, 1 13/20

d)

-1 1/5, -1 1/4, -0.99, 1 13/20, 1.8

55.

Order the numbers from least to greatest.

a)
b)
c)
d)
56.

Order the numbers from least to greatest.

a)
b)
c)
d)
57.

Order the numbers from least to greatest.

a)
b)
c)
d)
58.

Order the numbers from least to greatest.

a)
b)
c)
d)