Question 1 - Figure it out - Page 131 - Chapter 6 Class 7 - Number Play - Ganita Prakash

Transcript

Question 1 (a) Using your understanding of the pictorial representation of odd and even numbers, find out the parity of the following sums: (a) Sum of 2 even numbers and 2 odd numbers (e.g., even + even + odd + odd) Now, (Even + Even) + (Odd + Odd) = Even + Even = Even Question 1 (b) Using your understanding of the pictorial representation of odd and even numbers, find out the parity of the following sums: (b) Sum of 2 odd numbers and 3 even numbers Now, (Odd + Odd) + (Even + Even) + Even = Even + Even + Even = (Even + Even) + Even = Even + Even = Even Question 1 (c) Using your understanding of the pictorial representation of odd and even numbers, find out the parity of the following sums: (c) Sum of 5 even numbers Now, (Even + Even) + (Even + Even) + Even = Even + Even + Even = (Even + Even) + Even = Even + Even = Even Question 1 (d) Using your understanding of the pictorial representation of odd and even numbers, find out the parity of the following sums: (d) Sum of 8 odd numbers Now, (Odd + Odd) + (Odd + Odd) + (Odd + Odd) + (Odd + Odd) = Even + Even + Even + Even = (Even + Even) + (Even + Even) = Even + Even = Even