- 1. Because of the commutative property we can add or multiply in any order if there is only addition or only multiplication. 3 + 4 = 4 + 3 is an example of the commutative property. Find the other example.
A) a(b + c) = a x b + a x c
B) 5 + 0 = 5
C) (a + b) + c = a + (b + c)
D) a + b = b + a
- 2. We can group the numbers or variables in any combination as long as we only have addition or multiplication signs because of the associative property. 3 + (4 + 5) = (3 + 4) + 5 is an example of the associative property. Find another example of the associative property.
A) a + b = b + a
B) a(b + c) = a x b + a x c
C) (a + b) + c = a + (b + c)
D) 5 + 0 + 5
- 3. The sum of 0 and any number equals that number is an example of the identify property of addition. Find another example of the identify property.
A) 5 + 0 = 5
B) a(b + c) = a x b + a x c
C) (a + b) + c = a + (b + c)
D) a + b = b + a
- 4. In the distributive property the number with its sign that is outside the parenthesis needs to be multiplied by every number and variable inside the parenthesis. 4(2 + 3) = 4 x 2 + 4 x 3 is an example of the distributive property. Find another example of it.
A) 5 + 0 = 5
B) a + b = b + a
C) (a + b) + c = a + (b + c)
D) a(b + c) = a x b + a x c
- 5. As long as all operations are multiplication or addition the commutative property allows us to rearrange the numbers to make the math easier. An example is 3 x 4 x 5 might to easier as 4 x 5 x 3. Find another example.
A) 2(3 + 4) = 6 + 8
B) (2 + 4) + 6 = 2 + (4 + 6)
C) 5 x 1 = 5
D) 6 x 5 x 2 = 2 x 5 x 6
- 6. As long as all operations are addition or multiplication we can move the parenthesis to new numbers because of the associative property. a + (b + c) = (a + b) + c is an example. Find another example.
A) 6 x 5 x 2 = 2 x 5 x 6
B) 5 x 1 = 5
C) 2(3 + 4) = 6 + 8
D) (2 + 4) + 6 = 2 + (4 + 6)
- 7. Multiplying a number by one does not change its identify. This is an example of the identity property of multiplication. 8 x 1 = 8. Find another example.
A) (2 + 4) + 6 = 2 + (4 + 6)
B) 5 x 1 = 5
C) 2(3 + 4) = 6 + 8
D) 6 x 5 x 2 = 2 x 5 x 6
- 8. Distributive property allows us to not have to do parenthesis first by multiplying the number (and its sign) outside the parenthesis by everything inside the parenthesis. a(b + c) = a x b + a x c is an example. Find another example.
A) 6 x 5 x 2 = 2 x 5 x 6
B) 2(3 + 4) = 6 + 8
C) (2 + 4) + 6 = 2 + (4 + 6)
D) 5 x 1 = 5
- 9. 2(6 + 1) = 2 x 6 + 2 x 1 is an example of which property.
A) Commutative Property
B) Identity Property
C) Associative Property
D) Distributive Property
- 10. 1 x 4 x 5 = 5 x 4 x 1 is an example of which property.
A) Distributive Property
B) Commutative Property
C) Identity Property
D) Associative Property
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