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Grade 5 - Laws of Arithmetic
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Put brackets in: 20 / 4 + 6 = 2
20 / (4 + 6) = 2
Put brackets in: 8 x 2 + 3 = 40
8 x (2 + 3) = 40
Put brackets in: 3 + 4 x 2 - 1 = 13
(3 + 4) x 2 - 1 = 13
Put brackets in: 12 - 4 / 2 = 4
(12 - 4) / 2 = 4
Put brackets in: 5 x 3 + 2 = 25
5 x (3 + 2) = 25
Put brackets in: 6 + 4 / 2 = 5
(6 + 4) / 2 = 5
Put brackets in: 2 + 3 x 4 + 1 = 21
(2 + 3) x 4 + 1 = 21
15 / 3 + 2 = 3
15 / (3 + 2) = 3
Put brackets in: 10 - 3 x 2 = 14
(10 - 3) x 2 = 14
Put brackets in: 4 + 5 x 2 = 18
(4 + 5) x 2 = 18
Name the property: 12 x (3 + 5) = 12 x 3 + 12 x 5
The distributive law
True or False: 5 + (6 x 7) = (5 + 6) x (5 + 7)
False
Expand using the Distributive Law: 5(100 - 3)
(5 x 100) - (5 x 3)
Is 24 divided by 6 the same as 6 divided by 24?
No
What is the value of 9 x 23 + 9 x 7?
270
Use the Distributive Law to expand: 3(a + b)
3a + 3b
True or False: (100 / 10) / 2 = 100 / (10 / 2)
False
Calculate 15 x 12 by using the Associative Law to split 12 into 4 x 3. (So, 15 x 4 x 3).
180
Is the following an example of the Distributive Law? 3 x (4 x 5) = (3 x 4) x 5
No, associate law
Fill in the blank: 6 x ___ = 9 x 6
9
Calculate: 8 x (10 - 2)
64
Complete the equation using the Associative Law: (12 + 8) + 5 = ___ + (8 + 5)
12
Which law allows you to rearrange 5 + 13 + 5 into 5 + 5 + 13 to make it easier to add?
The commutative law
True or False: 9 x 8 = 8 x 9
True
Rewrite 7 x 52 using the Distributive Law
7 x (50 + 2) or (7 x 50) + (7 x 2)
Calculate the left side and right side to see if they are equal: 2 x (3 + 4) and (2 x 3) + 4
Not equal
Name the property shown: a + b = b + a
Commutative Law
Is the following statement True or False? (10 - 2) - 1 = 10 - (2 - 1)
False
What is the missing number? 18 x 5 = 5 x ___
18
Calculate: (4 x 25) x 7
700
Rewrite 6 x (8 - 3) using the Distributive Law.
(6 x 8) - (6 x 3)
True or False: 12 / 4 = 4 / 12
False
Solve: 14 + (6 + 9) = (14 + 6) + 9. What is the sum?
29
Does the Commutative Law apply to subtraction? (Yes or No)
No
Which law is demonstrated by the equation (3 x 4) x 5 = 3 x (4 x 5)
The associative law
Fill in the blank to complete the Distributive Law: 5 x (3 + 4) = (5 x 3) + (5 x ___)
4
Which property states that the order in which you add two numbers does not change the sum?
The commutative law