Properties
What property is this?
2 + 3 = 3 + 2
Commutative Property of Addition
6 + 5 x 2
6 + 10
16
x2 - 10 where x = 4
42 - 10
16 - 10
6
Approximate to the nearest integer.
Square Root of 14
About 4
A number m decreased by 10
m - 10
What property is this?
5 x (6 x 10) = (5 x 6) x 10
Associative Property of Multiplication
(32 + 2) x 3
(9 + 2) x 3
11 x 3
33
(2y + 6) - y where y = 3
(2(3) + 6) -3
(6 + 6) - 3
12 - 3
9
Approximate to the nearest integer.
Square Root of 60
About 8
The product of 7 and a number y
7y
What property is this?
-4(2x + 5) = -8x - 20
Distributive Property
82 - 8 + (10 x 2)
82 - 8 + (10 x 2)
82 - 8 + 20
64 - 8 + 20
56 + 20
76
m(n + 3) where m = -4 and n = -8
-4(-8 + 3)
-4(-5)
20
Approximate to the nearest integer.
NEGATIVE Square Root of 90
About -9
A number z squared plus 4
z2 + 4
What property is this?
8 + (-8) = 0
Inverse Property of Addition
(5 + 42) / (22 - 1)
(5 + 16) / (4 - 1)
21 / 3
7
(x - 4)2 - y2 where x = 10 and y = 3
(10 - 4)2 - 32
62 - 32
36 - 9
27
Approximate to the nearest integer.
NEGATIVE Square Root of -104
About -10
5 times the quantity of 18 minus a number x
5(18 - x)
What property is this?
4 x 1 = 4
Identity Property of Multiplication
62 + 4 x 8 - 20 + (52 - 1)
62 + 4 x 8 - 20 + (25 - 1)
62 + 4 x 8 - 20 + 24
36 + 4 x 8 - 20 + 24
36 + 32 - 20 + 24
68 - 20 + 24
48 + 24
72
(ab + 10) / 11 where a = 9 and b = 5
(9(5) + 10) / 11
(45 + 10) / 11
55 / 11
5
Approximate to the nearest integer.
NEGATIVE Square Root of 220
About -15
The quotient of twice k and 3
2k / 3