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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 6 - Mathematics
1.15 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 = b-a
False
True

Q 2: Given a=6, b=7, and c=8.
a-b = whole number
False
True

Q 3: Given a=6, b=7, and c=8.
a+(b+c) = (a+b)+c
False
True

Q 4: Given a=6, b=7, and c=8.
b-a = whole number
False
True

Q 5: Given a=6, b=7, and c=8.
a+b = b+a
False
True

Q 6: Given a=6, b=7, and c=8.
a-(b-c ) = (a-b)-c
True
False

Q 7: The difference of two whole number is always a whole number.
False
True

Q 8: Given a=6, b=7, and c=8.
a-(b-c) is not equal to (a-b)-c.
False
True

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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