1. Commutative property of addition
The commutative property of addition says that we can add numbers in any order.
The commutative property of addition says that we can add numbers in any order.
2. Associative property of addition
The associative property of addition tells us that we can group numbers in a sum in any way we want and still get the same answer.
The associative property of addition tells us that we can group numbers in a sum in any way we want and still get the same answer.
3. Commutative property of multiplication
The commutative property of multiplication is very similar. It says that we can multiply numbers in any order we want without changing the result.
The commutative property of multiplication is very similar. It says that we can multiply numbers in any order we want without changing the result.
4. Associative property of multiplication
The associative property of multiplication tells us that we can group numbers in a product in any way we want and still get the same answer.
The associative property of multiplication tells us that we can group numbers in a product in any way we want and still get the same answer.
5. Distributive property
The distributive property comes into play when an expression involving addition is then multiplied by something. It tells us that we can add first and then multiply, or multiply first and then add. Either way, the multiplication is "distributed" over all the terms inside the parentheses.
The distributive property comes into play when an expression involving addition is then multiplied by something. It tells us that we can add first and then multiply, or multiply first and then add. Either way, the multiplication is "distributed" over all the terms inside the parentheses.
6. Subtraction is neither commutative nor associative.
7. Division is neither commutative nor associative.
Formula
Commutative property of addition | a + b = b + a |
Associative property of addition | (a + b) + c = a + (b + c) |
Commutative property of multiplication | a x b = b x a |
Associative property of multiplication | (a x b) x c = a x (b x c) |
Distributive property | a x (b + c) = (a x b) + (a x c) |
Watch Out!!!
|
(a - b) - c ≠ b - (a - c) |
a ÷ b ≠ b ÷ a |
(a ÷ b) ÷ c ≠ b ÷ (a ÷ c) |
Examples:
1. Commutative property of addition
51 + 42 = 42 + 51 = 93
2. Associative property of addition
(33 + 23) + 21 = 33 + (23 + 21) = 77
3. Commutative property of multiplication
15 x 24 = 24 x 15 = 360
4. Associative property of multiplication
(11 x 12) x 9 = 11 x (12 x 9) = 1188
5. Distributive property
7 x (3 + 5) = (7 x 3) + (7 x 5) = 56
Tidak ada komentar:
Posting Komentar