Vocabulary
I am the property that states that you can change the order of numbers in addition or multiplication and still get the exact same result
3 x 4 = 4 x 3
Commutative Property
What is the phrase that helps us remember the order of operations?
PEMDAS- Please excuse my dear aunt sally.
Write a numerical expressions to model the words.
Add 5 and 25, and then multiply the sum by 4.
(5 + 25) x 4
48
24 x 3
Which is the value of the numerical expressions
6 + 2 x (8 - 4)
12
What does numerical expression mean?
A. To find the value of a numerical expression.
B. A special set of rules which gives the order in which calculations are done in a numerical expression.
C. A mathematical phrase that uses only numbers and operation signs.
C. A mathematical phrase that uses only numbers and operation signs.
(2 - 1) x 3
Parenthesis
Use parentheses to rewrite the numerical expression
18 + 3 x 6 ÷ 3 to have a value of 12.
(18 + 3 x 6) ÷ 3
35
5 x 7
Which is the value of the numerical expression
30 ÷ 5 - (3 + 1)
2
What does order of operations mean?
A special set of rules which gives the order in which calculations are done in a numerical expression.
What would you do first in the following numerical expression?
8 ÷ 2 x 4
8 ÷ 2
4 x 7 - 2 x 3 to have a value of 60.
4 x (7 - 2) x 3
90
2 x 32 x 5
Evaluate the numerical expression.
6 x 4 + 2 x 8
40
I am the property that states how numbers are grouped with parentheses in an addition or multiplication problem does not change the final result.
(12 + 6) + 4 = (6 + 4) + 12
Associative Property
What would you do first and second in the following numerical expression?
(8 x 3 - 2) + 7
(8 x 3 - 2) + 7 1st
(24 - 2) + 7 2nd
22 + 7
29
Write a numerical expression for the problem and solve.
John and Jack each have 15 candy bars. They want to share the candy bars they have with their friend Jeff. If John and Jack spit their candy bars equally between themselves and their friend, how many candy bars does each person get?
(15 + 15) ÷ 3 = 10
3 x 52
(8 - 2 x 3) + 20 ÷ 10
4
I am the property that states when multiplying a number by a sum or difference gives the same result as multiplying each term individually and then adding or subtracting the products.
5 x (10 + 3) = (5 x 10) + (5 x 3)
Distributive Property
5 x 3 + (5 - 1 x 2) ÷ 2
5 x 3 + (6 - 1 x 2) ÷ 2
5 x 3 + (6 - 2 ) ÷ 2
5 x 3 + (4) ÷ 2
15 + (4) ÷ 2
15 + 2
17
Leslie, Linda, and Logan are sharing a bag of lollipops. The bag contains 5 cherry lollipops, 6 orange lollipops, and 7 blueberry lollipops. How many can the girls get evenly?
(5+6+7)/3
22 x 52
102 + 5 - (8 x 5)
65