Download Real Numbers Review WKSH

Name
Class
1-4
Date
Properties of Real Numbers
Use the list below to complete the graphic organizer.
Associative Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
Identity Property of Multiplication
Multiplication Property of –1
Zero Property of Multiplication
Addition
Multiplication
Commutative Property
of Multiplication
a×b=b×a
a+b=b+a
Associative Property
of Addition
(a + b) + c
= a + (b + c)
(a × b) × c
= a × (b × c)
a×1=a
a+0=a
a×0=0
–1 × a = –a
Real
Numbers
Rational Numbers




Can be written as fractions.
Terminating Decimals
Repeating Decimals
- ½, .222, 1, 2, 2/3, 5/4, 6.1


Natural Numbers, their
opposites, and zero.
-3, -2, -1, 0, 1, 2, 3, …


Natural Numbers and Zero.
0, 1, 2, 3, …
Integers
Whole Numbers
Natural Numbers


Counting Numbers
1, 2, 3, …
Irrational Numbers



Decimals that neither repeat
nor terminate
Imperfect Squares
π , 2
Simplify each expression.
1.
81
2.
121
3.
169
4.
25
81
5.
225
169
6.
1
625
7.
0.64
8.
0.81
9.
6.25
Estimate the square root. Round to the nearest integer.
10.
10
11.
15
12.
38
13.
50
14.
16.8
15.
37.5
Find the approximate side length of each square figure to the nearest whole unit.
16. a rug with an area of 64 ft2
17. an exercise mat that is 6.25 m2
Name the subset(s) of the real numbers to which each number belongs.
18.
12
18
22. 5564
19. 5
23.
13
20. 
21.
2
24.  4
25.
61
3
Compare the numbers in each exercise using an inequality symbol.
26.
81,  121
27.
27
, 1.7781356
17
Order the numbers from least to greatest.
29. 1.875, 64,  121
30.
4
0.8711, , 1.3
5
Name the property that each statement illustrates.
31. 12 + 917 = 917 + 12
32. 74.5 · 0 = 0
33. 35 · x = x · 35
34. 3 · (1 · p) = 3 · (p)
35. m + 0 = m
36. 53.7 · 1 = 53.7
28. 
14
, 0.8711
15