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### Grade 6 - Mathematics1.15 Properties of Whole Numbers (Subtraction)

 1. Closure Property: Consider the examples, 10 - 5 = 5 11 - 15 = -5 10 - 25 = -15 ............ Note that the difference of two whole number is not always a whole number. Hence, the closure property is not true for subtraction in the set of whole numbers. 2. Commutative Property: Observe the following examples: 6 - 10 is not equal to 10 - 6 9 - 4 is not equal to 4 - 9 5 - 12 is not equal to 12 - 5. Hence, subtraction is not commutative in whole numbers, i.e., a - b is not equal to b - a. 3. Associative Property: Observe the following examples: 13-(7-6) is not equal to (13-7)-6 6-(7-5) is not equal to (6-7)-5 Hence, subtraction is not associative in whole numbers. For any three whole numbers a,b and c, (a-b)-c is not equal to a-(b-c) Directions: Check if the given statements are true or false. Also write at least ten examples of your own.
 Q 1: Given a=6, b=7, and c=8. a-b = whole numberTrueFalse Q 2: Given a=6, b=7, and c=8. a-(b-c) is not equal to (a-b)-c.TrueFalse Q 3: Given a=6, b=7, and c=8. a-(b-c ) = (a-b)-cTrueFalse Q 4: Commutative property is valid in subtraction.FalseTrue Q 5: Given a=6, b=7, and c=8. a-b = b-aTrueFalse Q 6: Given a=6, b=7, and c=8. a+(b+c) = (a+b)+cFalseTrue Q 7: Given a=6, b=7, and c=8. a+b = b+a TrueFalse Q 8: Subtraction is not associative in whole numbers.TrueFalse Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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