Exploring Reciprocals and Their Applications

What is the product of two-thirds and one and one-half when rewritten in fraction form?

• 2

• 3/2

• 1

• 1/2

What do you notice about the products in the initial set of problems?

• They are all less than 1

• They are all greater than 1

• They are all equal to 0

• They are all equal to 1

What is the relationship between the factors in the problems discussed?

• They are identical

• They are prime numbers

• They are reciprocals

• They are even numbers

Which of the following pairs are reciprocals?

• 7/9 and 9/7

• All of the above

• 4/5 and 5/4

• 3/4 and 4/3

What is the product of 4/5 and 10/8?

• 1

• 4/5

• 5/4

• 2

How can 24 divided by 3 be rewritten in fraction form?

• 24/3 divided by 1/1

• 3/24 divided by 1/1

• 24/1 divided by 3/1

• 1/24 divided by 3/1

What is the result of 16 divided by 8 when rewritten as a multiplication problem?

• 8 times 16

• 16 times 1/8

• 16 times 8

• 8 times 1/16

What conclusion can be made about dividing by a number?

• It is the same as subtracting its reciprocal

• It is the same as adding its reciprocal

• It is the same as dividing by its reciprocal

• It is the same as multiplying by its reciprocal

What is the reciprocal of 5/6?

• 5/1

• 1/5

• 6/5

• 1/6

How can you change a division problem to a multiplication problem?

• By dividing by the reciprocal

• By multiplying by the reciprocal

• By subtracting the reciprocal

• By adding the reciprocal