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Ordering and Comparing Real Numbers

Total questions: 29

Worksheet time: 27mins

Name
Class
Date
1.
A repeating decimal (like 4.7777...) is what type of number?
a)
Rational 
b)
Irrational
2.
A non-ending, non-repeating decimal is which type of number?
a)
Rational 
b)
Irrational
3.
A decimal that stops (like 2.48) is which type of number? 
a)
Rational
b)
Irrational
4.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
5.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
6.
Classify this number:  6.7
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
7.
Classify this number:  2
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
8.
Classify this number:  ⅚
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
9.
Classify this number:  -12
a)
real
b)
real      rational
c)
real       irrational
d)
real         rational        integer
10.
Classify this number:  √10
a)
real
b)
real      rational
c)
real       irrational
d)
real         rational        integer
11.
Classify this number: √25
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
12.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
13.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
14.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
15.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
16.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
17.
How would you change 45% to a decimal?
a)
Move the decimal 2 places to the left
b)
Move the decimal 2 places to the right
c)
Move the decimal 3 places to the left
d)
Move the decimal 3 places to the right
18.
2% as a decimal:
a)
0.02
b)
0.2
c)
2
d)
20
19.
120% as a decimal:
a)
1.2
b)
12
c)
0.12
d)
120
20.
200% as a decimal:
a)
2
b)
20
c)
200
d)
0.2
21.
18% as a decimal:
a)
0.18
b)
18
c)
1.8
d)
0.81
22.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
23.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
24.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 103
25.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

26.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
27.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
28.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
29.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4