Reciprocals

Question 1

What is the reciprocal of a number?

Answer 1

The reciprocal of a number is 1 divided by that number.

Question 2

What is the reciprocal of 5?

Answer 2

The reciprocal of 5 is 1/5.

Question 3

What is the reciprocal of 3/4?

Answer 3

The reciprocal of 3/4 is 4/3.

Question 4

What is the reciprocal of 0.2?

Answer 4

The reciprocal of 0.2 is 5 (since 1/0.2 = 5).

Question 5

What is the reciprocal of -3?

Answer 5

The reciprocal of -3 is -1/3.

Question 6

Can zero have a reciprocal?

Answer 6

No, the reciprocal of zero is undefined because division by zero is not possible.

Question 7

How do you check if two numbers are reciprocals of each other?

Answer 7

Multiply them together. If the result is 1, they are reciprocals.

Question 8

What is the reciprocal of -2/5?

Answer 8

The reciprocal of -2/5 is -5/2.

Question 9

How can you find the reciprocal of a decimal like 0.25?

Answer 9

Convert it to a fraction first: 0.25 = 1/4, then take the reciprocal: 1/4 -> 4.

Question 10

How is the concept of reciprocals used in solving equations?

Answer 10

Reciprocals are used to isolate variables in multiplication equations. For example, if 3x = 1, then x = 1/3, which is the reciprocal of 3.