Class 6 Maths Whole Numbers Properties of addition

Properties of addition

Closure property:

For any two whole numbers a and b, their sum  a + b is always a whole number.

E.g. 12 + 45 = 57         

 12, 45 and 57 all are whole numbers.

Commutative property:

For any two whole numbers a and b, a +b = b + a We can add any two whole numbers in any order.

E.g  12 + 45 = 45 + 12

Associative property

For any three whole numbers a, b and c, (a + b) + c = a + (b + c). , This means the sum is regardless of how grouping is done.

E.g   31 + (24 + 38) = (31 + 24) + 38

Additive identity property:

For every whole number a, a + 0 = a. Therefore ‘0’ is called the Additive identity.

E.g. 19 + 0 = 19

Question: Find the sum by suitable arrangement.

  1. 1962 + 453 + 1538 + 647 b. 837 + 208 + 363

Solution:

  1. 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647) = 3500 + 1100 = 4600
  2. 837 + 208 + 363 = (837 + 363) + 208 = 1200 + 208 = 1408

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