Add a few even numbers together. What kind of number do you get? Class 7

Add a few even numbers together. What kind of number do you get? Class 7

Question 1.

Add a few even numbers together. What kind of number do you get? Does it matter how many numbers are added? Class 7

Solution:

Always an even number.

Question 2.

Now, add a few odd numbers together. What kind of number do you get? Does it matter how many odd numbers are added? Class 7

Solution:

If 2, 4, 6, ... odd numbers are added, then the sum is an even number and if 3, 5, 7, ... odd numbers are added, then the sum is an odd number.

Question 3.

Explore what happens to the sum of

(a) 4 odd numbers,

(b) 5 odd numbers, and

(c) 6 odd numbers.

Solution:

(a) even number

(b) odd number

(c) even number

Question 4.

Two siblings, Martin and Maria, were born exactly one year apart. Today they are celebrating their birthday. Maria exclaims that the sum of their ages is 112. Is this possible? Why or why not?

Solution:

Not possible. It is because sum of an even number and an odd number cannot be an even number (112).