Write the equivalent expression
Using the commutative property, write an equivalent expression:
15 x 2 =
2 x 15
252 + 0 = 252
Identity property of addition
Distribute the expression
3(1 + 2)
3(1) + 3(2)
3 + 6 = 9
Identity Property of Multiplication
15 x 1 = 15
What did the student do wrong?
(5 + 4) + 3 = (4 + 5) + 3
They changed the order and not the grouping.
Using the associative property, write an equivalent expression:
(21 x 10) x 52 =
21 x (10 x 52)
3 x 18 x 21 = 18 x 21 x 3
Commutative Property of Multiplication
Distribute the expression
2(x + 1) =
2(x) + 2(1)
2x + 2
Commutative Property of Addition
a + b + c = c + b + a
What did the student do wrong?
12 + 10 = 12 + 10 + 5
They added in an additional number when using the commutative property.
Using the commutative property, write an equivalent expression:
8 + 4 + 10 + 2 =
2 + 10 + 4 + 8
OR
another version with a different order
(91 + 2) + 8 = 91 + (2 + 8)
Associative Property of Addition
Distribute the expression
5(2x + 5) =
5(2x) + 5(5)
10x + 25
Associative Property of Multiplication
(a x b) x c = a x (b x c)
What did the student do wrong?
5 + 1/5 = 0
They didn't add the inverse for addition. They added the inverse as if it were multiplication.
Using the associative property, write an equivalent expression:
(2 + 151) + 89 =
2 + (151 + 89)
-5 + 5 = 0
Inverse Property of Addition
Distribute the expression
4(3x + 4) =
4(3x) + 4(4)
12x + 16
Inverse Property of Multiplication
3 x 1/3 = 1
What did the student do wrong?
2(x + 10) = 2 + 20 = 22
They didn't distribute the 2 to the x.
Using the inverse property, what goes in the blank?
8 x ___ = 1
1/8
3(2y + 4) = 6y + 12
Distributive Property
Distribute the expression
6(2x + 4y) =
6(2x) + 6(4y)
12x + 24y
Distributive Property
7(x + 2) = 7x + 14
What did the student do wrong?
3(2x - 3) = 6x + 9
They changed the subtraction sign to addition instead of keeping it the same.