Identifying properties of operation
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Commutative Property of addition | States that you can add in any order and the sum will remain the same.
7 + 3 = 10;
3 + 7 = 10
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| Commutative Property of multiplication | States that you can multiply in any order and the product will remain the same.
7 x 3 = 21;
3 x 7 = 21
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| Associative Property of addition | Changing the grouping of addends does not change the sum.
Example (a+b)+c = a+(b+c);
Numeric (7+3)+2 = 7+(3+2);
Algebraic (n + 3) + 6 = n + (3 +
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| Associative Property of multiplication | Changing the grouping of factors does not change the product.
Example (a x b) x c = a x (b x c);
Numeric Expression (7 x 3) x 2 = 7 x (3 x 2);
Algebraic Expression (n x 3) x 6 = n x
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| Additive Identity | Adding zero to a number leaves it unchanged:
a + 0 = 0 + a = a
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| Multiplicative Identity | Multiplying a number by 1 leaves it unchanged:
a × 1 = 1 × a = a
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| Multiplicative property of zero | States that the product of any number and zero is zero.
a x 0 = 0
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| Distributive Property | States that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Example: 3 × (2 + 4) = 3×2 + 3×4
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| Inverse Property for addition | The operation that reverses the effect of another operation.
Addition and subtraction are inverse operations.
7 + 3 = 10
10 - 3 = 7
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| Inverse Property for multiplication | The operation that reverses the effect of another operation.
Multiplication and division are inverse operations.
6x2=12
12 / 6 = 2
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Created by:
pearcy
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