## Standards with the same topic and subject but for other grades

The associative property of multiplication states that the product stays the same when the grouping of factors is changed (e.g., 6 × (3 × 5) = (6 × 3) × 5).

The associative property of multiplication states that the product stays the same when the grouping of factors is changed (e.g., 6 x (3 x 5) = (6 x 3) x 5).

The commutative property of multiplication states that changing the order of the factors does not affect the product (e.g., 2 x 3 = 3 x 2).

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products: 8 x 7 = 8 (5 + 2), (8 x 5) + (8 x 2), 40 + 16 all equal 56; 5 x 23 = 5 (20 + 3), (5 x 20) + (5 x 3), 100 + 15 all equal 115.

The identity property of multiplication states that if a given number is multiplied by one, the product is the same as the given number.

Recognize that the commutative property for multiplication is an order property. Changing the order of the factors does not change the product (2 × 3 = 3 × 2).

The associative property of addition states that the sum stays the same when the grouping of addends is changed (e.g., 15 + (35 + 16) = (15 + 35) + 16).

The associative property of addition states that the sum stays the same when the grouping of addends is changed (e.g., 15 + (35 + 16) = (15 + 35) + 16).

The commutative property of addition states that changing the order of the addends does not affect the sum (e.g., 4 + 3 = 3 + 4). Similarly, the commutative property of multiplication states that changing the order of the factors does not affect the product (e.g., 2 × 3 = 3 × 2).

The identity property of addition states that if zero is added to a given number, the sum is the same as the given number. The identity property of multiplication states that if a given number is multiplied by one, the product is the same as the given number.