Proving Even Numbers: Representing as the Sum of Two Equal Addends

The video tutorial explains how to prove a number is even by representing it as the sum of two equal addends. It begins by defining even numbers and their properties, followed by an explanation of addends and sums. The tutorial addresses common misconceptions about even sums and demonstrates how to prove even numbers using doubles. It concludes with examples and patterns in even numbers, reinforcing the concept that any even number can be shown as the sum of two equal addends.

What is the primary method discussed for proving a number is even?

• By representing it as the sum of two equal addends

• By dividing it by 3

• By subtracting 1 from it

• By multiplying it by 2

What is a common misunderstanding about even sums?

• Addends must be odd to have an even sum

• Addends must be even to have an even sum

• Addends must be prime to have an even sum

• Addends must be multiples of 5 to have an even sum

What happens when you double an odd number?

• It results in a prime number

• It results in an odd sum

• It results in a negative number

• It results in an even sum

How can the number 12 be shown as even using addends?

• As 5 plus 5

• As 6 plus 6

• As 3 plus 3

• As 4 plus 4

What is the pattern observed in the addends when proving numbers like 14, 16, 18, and 20 are even?

• The addends remain constant

• The addends decrease by 1

• The addends increase by 1

• The addends increase by 2

Which equation shows that 14 is an even number?

• 8 plus 8

• 7 plus 7

• 9 plus 9

• 6 plus 6

What is the doubles fact for proving 20 is even?

• 11 plus 11

• 12 plus 12

• 10 plus 10

• 9 plus 9