Class 6 Properties of Whole Numbers — practice questions with answers
Whole Numbers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. Which property is shown by 7 + 5 = 5 + 7?
- ACommutative property of addition
- BAssociative property of addition
- CDistributive property
- DClosure property
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Answer: A) Commutative property of addition
Changing the order of the numbers being added does not change the sum, so 7 + 5 = 5 + 7. This is the commutative property of addition.
2. Find 17 + 0 + 0.
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Answer: D) 17
Adding 0 keeps a number unchanged (additive identity). 17 + 0 + 0 = 17.
3. Which property allows us to write 7 + (3 + 9) = (7 + 3) + 9?
- AAssociative property of addition
- BCommutative property of addition
- CDistributive property
- DClosure property
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Answer: A) Associative property of addition
Regrouping the numbers being added without changing the order is the associative property of addition.
4. Lakshmi rewrote 47 + 38 + 53 as 47 + 53 + 38 and then added.
Which two properties did she use, and what is the sum?
- ACommutative and associative; 138
- BOnly distributive; 138
- COnly commutative; 128
- DAssociative and identity; 138
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Answer: A) Commutative and associative; 138
She reordered (commutative) and regrouped (associative): (47 + 53) + 38 = 100 + 38 = 138.
5. The product of two whole numbers is 1.
Using the property of the multiplicative identity, what is the SUM of these two whole numbers?
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Answer: D) 2
The only whole numbers whose product is 1 are 1 and 1 (since 1 x 1 = 1). Their sum is 1 + 1 = 2.