Page 163 - ABCTE Study Guide_Neat

Multiplication The grouping of numbers is not important when 2 x (8 x 3) =
multiplying numbers.
(2 x 8) x 3 =

Neither the associative nor the commutative property works for subtraction or division. Grouping and order
make a huge difference when subtracting and dividing!

Identity Property: SELF

Remember: The number wants to stay the same;
it wants to be itself.

Addition Any number plus zero equals that number.
4 + 0 = 4

Multiplication Any number times one equals that number.
8 x 1 = 8

These properties are also called the additive identity and the multiplicative identity.

Multiplicative Property of Zero

Multiplication Any number times zero is zero.
8 x 0 = 0

Time for a practice question on the associative, commutative, and identity properties.

Question

Which number sentence below illustrates the commutative property?

A 5 x 7 x 6 = 210

B 3 x (6 x 4) = (3 x 6) x 4 = 72

C 4 + 5 + 0 = 9