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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
5.14 Theorem - II

Theorem:
Prove that the product of two odd number is an odd number.

Proof:
The general form of an odd number is 2n+1, where n is an integer.
Let 2m+1 and 2n+1 are two different odd numbers, where m and n are integers.
The product = (2m+1)(2n+1)
= 2m(2n+1)+2n+1
= 4mn+2m+2n+1
= 2(2mn+m+n) + 1
(2m+1)(2n+1) = 2 (an integer) + 1 [Since, 2mn+m+n = an integer.]
= an odd number.


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: 2*4*6*8*10 is ______ number.
Odd number
Even number

Q 2: 10000 + 72 is ________ number.
Odd number
Even number

Q 3: 546 + 352 + 42 + 31 is _____ number.
Even number
Odd number

Q 4: 1000 - 562 is ______ number.
Odd number
Even number

Q 5: 510 is _______ number.
Even number
Odd number

Q 6: 1*2*3*4*5*6*7*8 is _____ number.
Even number
Odd number

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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