Given the dimensions of a grid, can you tell the parity of the number of small squares. Class 7
easy
R
RBSEGuide
Expert Answer
Given the dimensions of a grid, can you tell the parity of the number of small squares. Class 7
Question 1.
Given the dimensions of a grid, can you tell the parity of the number of small squares without calculating the product? Class 7
Solution:
Yes. If it consists of two even numbers, then parity will be even. If it consists of two odd numbers, parity will be odd. If it consists of one odd number and one even number, then the parity will be even.
Question 2.
Find the parity of the number of small squares in these grids : Class 7
(a) 27 × 13
(b) 42 × 78
(c) 135 × 654
Solution:
(a) odd
(b) even
(c) even.
Question 3.
Are there expressions using which we can list all the even numbers ? Class 7
[Hint: All even numbers have a factor 2.]
Solution:
Yes. The expression is 2n; n = 1,2,3,...