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MEANING OF PROPERTIES OF ADDITION
State the meaning of addition
Identity the properties of addition
Apply the properties o...
= 88
Thus, (15 + 45 ) + 28 = 15 + ( 45 + 28 )
3. Identity Property of Addition (IPA)
The identity or zero property of addi...
=124
The examples have been given in detail but practice,
you can do much of the work mentally. You not write all the
step...
MEANING AND PROPERTIES
OF
ADDITION
SUBMITTED BY:
Keisha Louise N. Dime SUBMITTED TO:
V – Jose Rizal Mr. Cipriano
Teacher
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Addition

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Addition

  1. 1. MEANING OF PROPERTIES OF ADDITION State the meaning of addition Identity the properties of addition Apply the properties of addition in performing the operation Notice that we added the numbers two by two. This can be done because addition is a binary operation;that is, we can add only 2 numbers at a time. Also, in finding the number of animal, we made use of some properties of addition. Some of these are as follows: 1. Commutative Property of Addition (CPA) The commutative or order property of addition states that the order of the addends does not change the sum. Example: 52 + 28 = 80 So, 52 + 28 = 28 + 52 To understand or remember this, think of having 52 rubber bands in one bunch and 28 in another bunch. You want to put them in a box. Does it matter whish bunch you put in the box first? 2. Associative Property of Addition (APA) The associative property of Addition states that the numbers to be added are grouped does not affect the sum. Example: (15 +45) + 28 15 + (45 + 28) = 60 = 15 + 73 = 60 + 28 = 88
  2. 2. = 88 Thus, (15 + 45 ) + 28 = 15 + ( 45 + 28 ) 3. Identity Property of Addition (IPA) The identity or zero property of additionstates that the sum of a number and zero is equal to the number. Zero is called the identity element for addition. Examples: 75 + 0 = 75 0 + 93 = 93 Sometimes, the commutative and associative properties of addition help us do addition mentally or in an easier way. By using these properties, we can rearrange the addends to form a sum which is a multiple of 10 or 100. Then, we can add remaining number. Examples: 1. 14 + ( 15 + 6 ) = 14 + ( 6 + 15 ) Commutative Property of Addition (CPA) = (14 + 6 ) + 15 Associative Property of Addition (APA) =20 + 15 = 35 2. 81 + (24 + 19) = 81 + (19 + 24) Commutative Property of Addition (CPA) = (81 + 19) + 24 Associative Property of Addition (APA) = 100 + 24
  3. 3. =124 The examples have been given in detail but practice, you can do much of the work mentally. You not write all the steps once you know how to do it. Example: 43 + 53 + 37 = 80 +53 = 133 Do you see how it was done? Yes, 43 and 37 were added to get 80. Then, 53 was added to 80 to get 133.
  4. 4. MEANING AND PROPERTIES OF ADDITION SUBMITTED BY: Keisha Louise N. Dime SUBMITTED TO: V – Jose Rizal Mr. Cipriano Teacher

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