Formulas
a + b = b + a
commutative property of addition
The order in which numbers are added does not change the sum of the numbers.
commutative property of addition
Simplify.
3(2+4)
18
2 x 1 = 2
identity property of multiplication
Parenthesis, exponents, multiplication, division, addition, subtraction.
PEMDAS
a x b = b x a
commutative property of multiplication
The order in which numbers are multiplied does not change the product of the numbers.
commutative property of multiplication
Simplify.
2(x+4)
2x+8
52 + 0 = 52
identity property of addition
Evaluate. 3^3 - 8 x 3 = ?
3
a x 1 = a
identity property of multiplication
The way numbers are grouped does not affect the product.
associative property of multiplication
Use the distributive property to rewrite the expression. Then evaluate.
12 (51)
12(50+1)
600+12
612
(2 x 7) x 11 = 2 x (7 x 11)
associative property of multiplication
Evaluate. 6 x 4 - 4 + 2.
22
a + (b + c) = (a + b) + c
associative property of addition
The way numbers are grouped does not affect the sum.
associative property of addition
Simplify
4 times the sum of 2 times x and six
8x+24
3 + (2 + 1) + 4 = (2 + 3) + 4 + 1
commutative and associative property of addition?
Evaluate. 1 + 2 x 3 + 4.
11
a x (b x c) = (a x b) x c
associative property of multiplication
The sum of any number, a, and zero is that number, a.
identity property of addition
Use the distributive property to simplify
6x^2[(3x-4)+(4x+2)]
42x^3 - 12x^2
(2 x 1) x 4 x 13 = 4 x (13 x 2)
commutative, associative, and identity property of multiplication
Evaluate. 6^2 + 7 + 9 x 10.
133