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Find the six hidden words that make up
the Properties of the Operations on
Integers.
Properties of the
Operations on Integers
Closure
Commutative
Associative
Distributive
Identity
Inverse
14 + 30 = 44
14 + (-5) = 9
Closure Property
If a and b are two integers: (a + b), (a -
b), and (a x b) is also an integer.
Commutative Property
This property states that changing the
order of the addends does not affect
the sum.
6 + 4 = 4 + 6
(-6) + 4 = 4 + (-6)
________ + ________ = ________ + ________
a b b a
Associative Property
This property states that changing the
grouping of numbers being added does
not change its value.
(6 + 2) + 1 = 6 + (2 + 1)
[6 + (-2)] + 3 = 6 + [(-2) + 3]
( _____ + _____ ) + _____ = _____ + ( _____ + _____ )a b c a b c
Distributive Property
This property states that when two
numbers have been added/subtracted
and then multiplied by a facto...
-2 (4 + 3) = (-2 x 4) + (-2 x 3)
2 (4 - 3) = (2)(4) - (2)(3)
_____ ( _____ + _____ ) = ( _____ x _____ ) + ( _____ x _____ )a b c a b a c
Identity Property for Addition
Identity Property for Addition states
that the sum of any number and zero is
the number its...
5 + 0 = 5
0 + (-4) = -4
________ + ________ = ________
a 0 a
Identity Property for Multiplication
Identity Property for Multiplication
states that the product of any number
and one is...
8 x 1 = 8
1 x (-9) = -9
14
-14
Inverse Property for Addition
Inverse Property for Addition states
that the sum of any number and its
additive inverse is ...
10 + (-10) = 0
-6 + 6 = 0
Inverse Property for Multiplication
Inverse Property for Multiplication
states that the product of any number
and its mult...
4 x 1/4 = 1
-8 x (-1/8) = 1
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THINK
OF
THIS!
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
K to 12 - Grade 7 Lesson on Properties of the operations on Integers
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K to 12 - Grade 7 Lesson on Properties of the operations on Integers

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K to 12 - Grade 7 Lesson on Properties of the operations on Integers

  1. 1. Find the six hidden words that make up the Properties of the Operations on Integers.
  2. 2. Properties of the Operations on Integers Closure Commutative Associative Distributive Identity Inverse
  3. 3. 14 + 30 = 44 14 + (-5) = 9
  4. 4. Closure Property If a and b are two integers: (a + b), (a - b), and (a x b) is also an integer.
  5. 5. Commutative Property This property states that changing the order of the addends does not affect the sum.
  6. 6. 6 + 4 = 4 + 6 (-6) + 4 = 4 + (-6)
  7. 7. ________ + ________ = ________ + ________ a b b a
  8. 8. Associative Property This property states that changing the grouping of numbers being added does not change its value.
  9. 9. (6 + 2) + 1 = 6 + (2 + 1) [6 + (-2)] + 3 = 6 + [(-2) + 3]
  10. 10. ( _____ + _____ ) + _____ = _____ + ( _____ + _____ )a b c a b c
  11. 11. Distributive Property This property states that when two numbers have been added/subtracted and then multiplied by a factor, the result will be the same when each number is multiplied by the factor and the products are then added/subtracted.
  12. 12. -2 (4 + 3) = (-2 x 4) + (-2 x 3) 2 (4 - 3) = (2)(4) - (2)(3)
  13. 13. _____ ( _____ + _____ ) = ( _____ x _____ ) + ( _____ x _____ )a b c a b a c
  14. 14. Identity Property for Addition Identity Property for Addition states that the sum of any number and zero is the number itself.
  15. 15. 5 + 0 = 5 0 + (-4) = -4
  16. 16. ________ + ________ = ________ a 0 a
  17. 17. Identity Property for Multiplication Identity Property for Multiplication states that the product of any number and one is the number itself.
  18. 18. 8 x 1 = 8 1 x (-9) = -9
  19. 19. 14 -14
  20. 20. Inverse Property for Addition Inverse Property for Addition states that the sum of any number and its additive inverse is zero.
  21. 21. 10 + (-10) = 0 -6 + 6 = 0
  22. 22. Inverse Property for Multiplication Inverse Property for Multiplication states that the product of any number and its multiplicative inverse or reciprocal is 1.
  23. 23. 4 x 1/4 = 1 -8 x (-1/8) = 1
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  34. 34. THINK OF THIS!

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