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Grade 5 - Laws of Arithmetic

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