Dividing and Breaking Down Numbers

The video tutorial demonstrates how to use the distributive property to divide 81 by 3. It explains breaking down the dividend into smaller numbers that add up to 81, ensuring each is divisible by 3. The example uses 21 and 60, both divisible by 3, to simplify the division. The final answer is obtained by adding the quotients of the divided parts, resulting in 27.

What is the main problem being solved in this video?

• Subtracting 3 from 81

• Adding 81 and 3

• Dividing 81 by 3

• Multiplying 81 by 3

What does the distributive property for division allow us to do?

• Break down a dividend into smaller parts

• Multiply numbers more easily

• Add numbers more easily

• Subtract numbers more easily

What is the purpose of breaking down the number 81 in this example?

• To find a new dividend

• To change the problem to multiplication

• To simplify the division process

• To make the problem more complex

Which of the following is a requirement for the numbers chosen to break down 81?

• They must be less than 10

• They must add up to 81 and be divisible by 3

• They must be prime numbers

• They must be even numbers

Why is it important that the numbers chosen are multiples of 3?

• To ensure they are prime numbers

• To make sure they can be divided by 3 without a remainder

• To make them easier to add

• To ensure they are even

What are the two numbers chosen to break down 81?

• 10 and 71

• 30 and 51

• 21 and 60

• 40 and 41

How do we verify that 21 is divisible by 3?

• By dividing 21 by 2

• By checking if 21 is a prime number

• By multiplying 3 by 7

• By adding 21 to 3

What mathematical operation is used to verify divisibility in this example?

• Addition

• Subtraction

• Division

• Multiplication

What is the product of 3 and 7?

• 21

• 18

• 19

• 20

How do we verify that 60 is divisible by 3?

• By adding 60 to 3

• By checking if 60 is a prime number

• By dividing 60 by 2

• By multiplying 3 by 20