RN Teaching Properties
 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 = b + aB) (a + b) + c = a + (b + c)C) a(b + c) = a x b + a x cD) 5 + 0 = 52. 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 + aB) (a + b) + c = a + (b + c)C) 5 + 0 + 5D) a(b + c) = a x b + a x c3. 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) a(b + c) = a x b + a x cB) 5 + 0 = 5C) (a + b) + c = a + (b + c)D) a + b = b + a4. 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) a + b = b + aB) (a + b) + c = a + (b + c)C) 5 + 0 = 5D) a(b + c) = a x b + a x c5. 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) 5 x 1 = 5B) (2 + 4) + 6 = 2 + (4 + 6)C) 6 x 5 x 2 = 2 x 5 x 6D) 2(3 + 4) = 6 + 86. 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) 5 x 1 = 5B) (2 + 4) + 6 = 2 + (4 + 6)C) 2(3 + 4) = 6 + 8D) 6 x 5 x 2 = 2 x 5 x 67. 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) 5 x 1 = 5B) 2(3 + 4) = 6 + 8C) 6 x 5 x 2 = 2 x 5 x 6D) (2 + 4) + 6 = 2 + (4 + 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) 5 x 1 = 5B) 2(3 + 4) = 6 + 8C) 6 x 5 x 2 = 2 x 5 x 6D) (2 + 4) + 6 = 2 + (4 + 6)9. 2(6 + 1) = 2 x 6 + 2 x 1 is an example of which property.A) Distributive PropertyB) Identity PropertyC) Commutative PropertyD) Associative Property10. 1 x 4 x 5 = 5 x 4 x 1 is an example of which property.A) Associative PropertyB) Identity PropertyC) Commutative PropertyD) Distributive Property
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