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Number Property Rules

Total questions: 23

Worksheet time: 49mins

Name
Class
Date
1.
Tell which property the statement illustrates.
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)
a)
Distributive Property
b)
Associative Property of Addition
c)
Associative Property of Multiplication
d)
Commutative Property of Addition
2.
Tell which property the statement illustrates.
23 + (15 + w) = (23 + 15) + w
a)
Distributive Property
b)
Associative Property of Addition
c)
Commutative Property of Addition
d)
Multiplication Property of Zero
3.
Tell which property the statement illustrates.
a ∙ 1 = a
a)
Multiplication Property of Zero
b)
Multiplication Property of One
c)
Commutative Property of Multiplication
d)
Associative Property of Multiplication
4.
Tell which property the statement illustrates.
(c + 5) + 0 = c + 5
a)
Commutative Property of Addition
b)
Distributive Property
c)
Addition Property of Zero
d)
Associative Property of Zero
5.
Tell which property the statement illustrates.
10(a − 9) = (10 × a) − (10 × 9)
a)
Commutative Property of Subtraction
b)
Multiplication Property of Subtraction
c)
Distributive Property
d)
Associative Property of Subtraction
6.
Tell which property the statement illustrates.
11 + (r + 5) = 11 + (5 + r) 
a)
Commutative Property of Addition
b)
Associative Property of Addition
c)
Distributive Property
d)
Addition Property of Zero
7.
Which property was used to simplify the expression?
(47 × 25) × 8 = 47 × (25 × 8)
                             = 47 × 200
                             = 9400
a)
Distributive Property
b)
Multiplication Property of One
c)
Associative Property of Multiplication
d)
Commutative Property of Multiplication
8.
A property that states you can add (+) or multiply (∗) numbers in any order.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Addition Property
9.
A property that states when you add (+) or multiply (∗), you can group ( ) the numbers together in any combination.
a)
Associative Property
b)
Addition Property of Zero
c)
Commutative Property
d)
Distributive Property
10.
A property that states that the sum (+) of any number and zero is that number.
a)
Associative Property
b)
Commutative Property
c)
Addition Property of Zero
d)
Addition Property of One
11.
A property that states the product (∗) of any number and zero is zero.
a)
Addition Property of Zero
b)
Multiplication Property of Zero
c)
Multiplication Property of One
d)
Zero Property
12.
The property that states the product (∗) of any number and one is that number.
a)
Addition Property of Zero
b)
Multiplication Property of Zero
c)
Multiplication Property of One
d)
Zero Property
13.
A property that states you can multiply (∗) numbers mentally by breaking apart one of the numbers and writing it as a sum (+) or difference (−).
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Mental Math Property
14.
What property allows this statement to be true? 
AB = BA
a)
Associative 
b)
Distributive
c)
Commutative
15.
Find an equivalent expression using the associative property:
7 + ( 8 + 9)
a)
7 + 8 + 9
b)
8 + ( 7 + 9)
c)
(7 + 8 ) + 9
d)
7 + 10
16.
Find an equivalent expression using the Commutative property:
4 x 3 x 5 = 
a)
4 + 3 x 5
b)
5 x 4 x 3
c)
5 + 4 + 3
d)
3x + 5
17.
Name the property: 
1 x 12 =12
a)
Identity Property of Multiplication
b)
Commutative Property of Multiplication
c)
Multiplication Property of One
d)
Distributive Property
18.
Name the property:
9 + 0 = 9
a)
Identity Property of Multiplication
b)
Associative Property of Addition
c)
Identity Property of Addition
d)
Additive Inverse Property
19.
This property tells us that when we change the order of numbers when we are adding, the answer does not change.  
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
20.
The _______________ property of addition states that any number plus zero equals that number.
a)
identity
b)
commutative
c)
associative
d)
zero
21.
5(8 + 7) = (5 x 8) + (5 x 7)
a)
Multiplicative Inverse
b)
Distributive Property
c)
Additive Identity 
d)
Associative Property of Multiplication
22.
Name the property.
7 + (11 + 10) = (7 + 11) + 10
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Identity Property
23.
How can 5 (3 + 9) be expressed using the distributive property?
a)
5(3) + (5 + 9)
b)
5(3) + 5(9)
c)
5 + 9 = 9 + 5
d)
(5 + 3) x (5 + 9)