Division and Multiplication Concepts

This video tutorial teaches how to solve whole number by fraction division problems using the inverse relationship between multiplication and division. It explains that multiplication and division are inverse operations and demonstrates this concept with examples. The tutorial includes a practical problem involving dividing a ribbon into pieces, illustrating the use of multiplication to solve division problems with fractions.

What is the relationship between multiplication and division?

• They are unrelated operations.

• They are the same operation.

• They are inverse operations.

• They are complementary operations.

How can you verify a division result using multiplication?

• By dividing the dividend by the quotient.

• By adding the divisor to the quotient.

• By subtracting the divisor from the dividend.

• By multiplying the quotient by the divisor to get the dividend.

What does the division problem 'four divided by one-fifth' represent?

• Splitting four wholes into groups of one-fifth.

• Adding four to one-fifth.

• Subtracting one-fifth from four.

• Multiplying four by one-fifth.

In the example of four divided by one-fifth, what is the value of 'm'?

• 15

• 20

• 10

• 5

What is the first step in solving the division problem using the inverse relationship?

• Multiply the result by the fraction's denominator.

• Multiply the whole number by the fraction's numerator.

• Divide the whole number by the fraction.

• Multiply the whole number by the fraction's denominator.

How many pieces can be made from an 8-inch ribbon if each piece is two-thirds of an inch long?

• 10

• 12

• 14

• 16

In the ribbon problem, what does 'm' represent?

• The total area of the ribbon.

• The width of each piece.

• The number of pieces.

• The length of the ribbon.

What is the multiplication algorithm used in the ribbon problem?

• Multiply the whole number by the fraction's denominator.

• Subtract the fraction's denominator from the whole number.

• Multiply the whole number by the fraction's numerator and divide by the denominator.

• Add the whole number to the fraction's numerator.

What is the result of 12 times two-thirds?

• 12

• 10

• 8

• 6

What concept helps in solving whole number by fraction division problems?

• Direct relationship of division and subtraction.

• Inverse relationship of addition and subtraction.

• Direct relationship of multiplication and addition.

• Inverse relationship of multiplication and division.