Exploring Even and Odd Numbers in Depth

The video tutorial covers solving a complex problem using digits 2, 7, and 6 to form a three-digit odd number greater than 500. It explains the properties of even and odd numbers, demonstrating how even numbers can be split into equal groups, while odd numbers cannot. The tutorial concludes with a classroom problem, determining the total number of students based on equal numbers of boys and girls.

Which digits were available for creating the three-digit number?

• 2, 7, 6

• 1, 5, 9

• 0, 2, 5

• 3, 4, 8

What is the condition for the last digit of the number to be odd?

• It must be 7

• It must be 2

• It must be 6

• Any digit works

Which digit must be in the hundreds place to make the number greater than 500?

• Any digit

• 2

• 6

• 7

What is the final three-digit number created?

• 276

• 672

• 627

• 762

How can an even number be divided?

• Into two equal groups

• Cannot be divided equally

• Only by odd numbers

• Into three equal groups

What is half of 14?

• 9

• 11

• 7

• 5

Why can't an odd number like 5 be split into two equal groups?

• It can be split equally

• One group will always have one extra

• It doesn't have any dots

• It results in three groups

If a classroom has an equal number of boys and girls, what must be true about the total number of students?

• It can be any number

• It must be even

• It must be odd

• It must be a prime number

What is the total number of students in the classroom if the number is even?

• 24

• 27

• 26

• 25

How many boys are there if the total number of students is 26?

• 14

• 15

• 12

• 13