Commutative Property
5 x 3 = 3 x ?
5
Is this an example of the Associative Property of Addition?
(8 + 9) + 4 = 8 + (9 + 4)
Yes, the numbers are the same on both sides, and the parentheses moved.
True or false?
3(4 + b) = 12 + 3b
True
13 x 1 = 13 is which Identity Property?
Identity Property of Multiplicatoin
(3 + 2) + 7 = 3 + (2 + 7)
Associative Property of Addition
True or False: If you know 4 x 6, you know 6 x 4.
True
(4 + 5) + 9 = 4 + (a + 9)
a = ?
5
5(b + 7) = 5b + ?
35
Give an example of the Identity Property of Addition using the variable x.
x + 0 = x
19 + 0 = 19
Identity Property of Addition
4 + 6 = 6 + 4
is which property?
Commutative Property of Addition
Is this the Associative Property of Addition?
3 + (2 + 1) = 3 +(1 + 2)
No, this is the Commutative Property of Addition.
Explain the Distributive Property
Multiply the outside term by each of the inside terms.
Is 5 x 0 = 0 the Identity Property of Multiplication?
No, it is the Zero Property.
12(2 - y) = 24 - 12y
Distributive Property
Give an example of the Commutative Property of Multiplication.
ab=ba, 2 x 3 = 3 x 2,
*Any problem that has the order switched is appropriate.*
In the problem 9 + 3 + 7, what should you add first to make the problem easier?
9 + (3 + 7) = 10 + 9 = 19 😀
Give an example of the distributive property.
3(2 + 5) = 6 + 15
How does the Identity Property of Addition differ from the Identity Property of Multiplication?
For addition you add 0 to the number or variable; for multiplication you multiply the number or variable by 1.
(8 x 2) x 6 = 6 x (8 x 2)
Commutative Property of Multiplication
Jones goes to the store to get a 16 x 20 filter. The store clerk gives him a 20 x 16 filter. Why is this the correct filter?
A filter is a rectangle, so it can measure either 16 x 20 or 20 x 16 because they are the same measurement.
Explain why the movement of the parentheses does not change the answer on the right and left side of the equal sign.
The parentheses group numbers together, which means that these numbers are added first. The order in which all of the numbers are added together does not matter, because you still get the same total.
Distribute: 3(b + 10)
3b + 30
Define the Identity Properties.
Any number times 1 or plus 0 is that number; it stays the same.
2(3 + 6) = (2 x 3)+(2 x 6)
Distributive Property