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Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Identity

Inverse

Associative

Commutative

Result gives you the original number back.... Addition: a + 0 =…

Cancels a numbers out... Addition: a + (-a) = 0... Multiplication:…

Regrouping numbers in parenthesis ... Addition: (a + b) + c = a…

Order is swapped... Addition: a + b = b + a... Multiplication: ab…

Identity

Result gives you the original number back.... Addition: a + 0 =…

Inverse

Cancels a numbers out... Addition: a + (-a) = 0... Multiplication:…

Associative Property of Addition

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Multiplication

(2 + 3) +4 = 2 + (3 + 4)

4 + 6 = 6 + 4

3 x 5 = 5 x 3

3 x (4 x 1) = (3 x 4) x 1

Associative Property of Addition

(2 + 3) +4 = 2 + (3 + 4)

Commutative Property of Addition

4 + 6 = 6 + 4

Commutative Property

Distributive Property

Associative Property

Zero Property of Multiplication

You can switch around addends or factors and change the order…

Multiply each number in a sum or difference by the number out…

When the operation is only addition or only multiplication, y…

If you multiply by zero, the product will always be zero.

Commutative Property

You can switch around addends or factors and change the order…

Distributive Property

Multiply each number in a sum or difference by the number out…

2 x (34 x 5) = (2 x 34) x 5

2 + (34 + 5) = (2 + 34) + 5

4 x 5 = 5 x 4

4 + 5 = 5 + 4

associative property of multiplication

associative property of addition

commutative property of multiplication

commutative property of addition

2 x (34 x 5) = (2 x 34) x 5

associative property of multiplication

2 + (34 + 5) = (2 + 34) + 5

associative property of addition

Commutative property of addition

Associative Property

Additive Identity property

Multiplicative identity property

Changing the order of the numbers without changing the answer

Moving the grouping symbols without changing the answer

Any number plus zero equals that number

Any number times one is that number

Commutative property of addition

Changing the order of the numbers without changing the answer

Associative Property

Moving the grouping symbols without changing the answer

identity property of multiplication

identity property of addition

zero property of multiplication

commutative property of addition

5 x 1 = 5

3 + 0 = 3

Multiplying anything by zero equals zero.

5 + 4 = 4 + 5

identity property of multiplication

5 x 1 = 5

identity property of addition

3 + 0 = 3

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

When 3 or more numbers are added, the sum is the same regardl…

When 3 or more numbers are multiplied, the product is the sam…

When 2 numbers are added, the sum is the same regardless of t…

When 2 numbers are multiplied, the product is the same regard…

Associative Property of Addition

When 3 or more numbers are added, the sum is the same regardl…

Associative Property of Multiplication

When 3 or more numbers are multiplied, the product is the sam…

identity property of multiplication

identity property of addition

zero property of multiplication

commutative property of addition

5 x 1 = 5

3 + 0 = 3

Multiplying anything by zero equals zero.

5 + 4 = 4 + 5

identity property of multiplication

5 x 1 = 5

identity property of addition

3 + 0 = 3

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplications

Grouping doesn't matter when the terms are being added.

Grouping doesn't matter when the terms are being multiplied.

Order doesn't matter when the terms are being added.

Order doesn't matter when the terms are being multiplied.

Associative Property of Addition

Grouping doesn't matter when the terms are being added.

Associative Property of Multiplication

Grouping doesn't matter when the terms are being multiplied.

identity property of multiplication

identity property of addition

zero property of multiplication

commutative property of addition

5 x 1 = 5

3 + 0 = 3

Multiplying anything by zero equals zero.

The order of addends can be changed & the sum remains the sam…

identity property of multiplication

5 x 1 = 5

identity property of addition

3 + 0 = 3

associative (addition and multiplicati…

distributive

commutative (addition and multiplicati…

Identity Property of Addition

the numbers (addends or factors) can be grouped differently a…

multiplying a factor by a sum is the same as multiplying a fa…

the numbers (addends or factors) can be put in a different or…

when you add zero to a number, the result ... is that number

associative (addition and multiplicati…

the numbers (addends or factors) can be grouped differently a…

distributive

multiplying a factor by a sum is the same as multiplying a fa…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The order in which you add two numbers does not change the su…

The order in which you multiply two numbers does not change t…

The way you group three numbers in sum does not change the su…

The way you group three numbers in a product does not change…

Commutative Property of Addition

The order in which you add two numbers does not change the su…

Commutative Property of Multiplication

The order in which you multiply two numbers does not change t…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

change order

change order

change group

change group

Commutative Property of Addition

change order

Commutative Property of Multiplication

change order

Associative Property of Addition

Commutative Property of Multiplication

Associative Property of Multiplication

Inverse Property of Addition

(a + b) + c = a + (b + c)

ab=ba

(ab)c = a(bc)

8 + (-8) = 0

Associative Property of Addition

(a + b) + c = a + (b + c)

Commutative Property of Multiplication

ab=ba

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Associative Property of Addition

Identity Property of Addition

Commutative Property of Multiplication

If the order of addends changes, the sum stay the same.... a + b…

If the grouping of addends changes, the sum stays the same.... (…

The sum of any number and 0 is that number... a + 0 = a

If the order of factors changes, the product stays the same.…

Commutative Property of Addition

If the order of addends changes, the sum stay the same.... a + b…

Associative Property of Addition

If the grouping of addends changes, the sum stays the same.... (…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Associative Property of Addition

Identity Property of Addition

Commutative Property of Multiplication

If the order of addends changes, the sum stay the same.

If the grouping of addends changes, the sum stays the same.

The sum of any number and 0 is that number

If the order of factors changes, the product stays the same.

Commutative Property of Addition

If the order of addends changes, the sum stay the same.

Associative Property of Addition

If the grouping of addends changes, the sum stays the same.

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Multiplicative grid

Adding grid

Multiplicative words

Adding words

Your line will go through the point of origin

Your line will not go through the point of origin

Multiply

More than less than

Multiplicative grid

Your line will go through the point of origin

Adding grid

Your line will not go through the point of origin

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplie…

Commutative Property of Addition

Zero Property of Multiplication

Identity Property of Multiplication

Commutative Property of Multiplication

a + b = b + a

0 x a = 0

a x 1 = a

8 x 2 = 2 x 8

Commutative Property of Addition

a + b = b + a

Zero Property of Multiplication

0 x a = 0

Commutative Property of Multiplication

Associative Property of Multiplication

Identity Property of Multiplication

Property of 0

The order in which you multiply two numbers does not change t…

The way you group 3 numbers in a product does not change a pr…

The product of a number and 1 is that number.

The product of a number and 0 is 0.

Commutative Property of Multiplication

The order in which you multiply two numbers does not change t…

Associative Property of Multiplication

The way you group 3 numbers in a product does not change a pr…