Definitions
Definition: An expression that contains numbers and operations
Vocab word: Numerical expression
What is the commutative property?
Changing the order of addends or factors does not change the sum or product
Evaluate:
(45+25)÷10
7
5+2=2+5
Commutative property
Complete the equation and identify the property shown
34xx"____"=0
34xx0=0
Multiplication property of zero
Definition: To find the value of a numerical expression
Vocab word: Evaluate
What is the addition property of zero?
The sum of any number and zero is that number
Evaluate:
6+2×7
20
6+0=6
Addition property of zero
Complete the equation and identify the property shown
12+17="____"+12
12+17=17+12
Commutative Property
Definition: A set of rules for evaluating numerical expressions
Vocab word: Order of Operations
What is the associative property?
Changing the grouping of addends or factors does not change the sum or product
Evaluate:
10+2×4-1
17
16xx1=16
Multiplication property of 1
Complete the equation and identify the property shown
1xx"____"=14
1xx14=14
Multiplication property of 1
Identify the divisor, dividend, and quotient in the following expression:
56÷8 = 7
Divisor: 8
Dividend: 56
Quotient: 7
What are the multiplication properties of zero and one?
The product of any number and 0 is 0
The product of any number and 1 is that number
Evaluate:
(1+2)× 4÷ 2
6
5xx(3xx2)=(5xx3)xx2
Associative property of multiplication
Complete the equation and identify the property shown
3xx(10+2)=(3xx10)+(3xx"____")
3xx(10+2)=(3xx10)+(3xx2)
Distributive property
List the Order of Operations
1. Perform operations in grouping symbols
2. Multiply and divide from left to right
3. Add and subtract from left to right
What is the distributive property?
Multiplying a sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by the number and adding (or subtracting) the products
Evaluate:
5+2×(3-6÷6)
9
3×(11+7)=3xx11+3xx7
Distributive property
Use the distributive property to find the product
4xx35
140