Applications of Reciprocals
Key Questions

Answer:
When you multiply a reciprocal with its original number, the result is 1.
When you add the opposite to its original number, the result is 0.Explanation:
#4*¼=1# ¼ is the reciprocal of 4
#7+(7)=0# 7 is the opposite of 7

No, since
#1/0# is undefined.
I hope that this was helpful.

As dividing by a rational number is equivalent to multiplying by its reciprocal and this is easier, hence, reciprocals are useful when dividing rational expressions.
Questions
Properties of Real Numbers

Properties of Rational Numbers

Additive Inverses and Absolute Values

Addition of Integers

Addition of Rational Numbers

Subtraction of Rational Numbers

Multiplication of Rational Numbers

Mixed Numbers in Applications

Expressions and the Distributive Property

When to Use the Distributive Property

Division of Rational Numbers

Applications of Reciprocals

Square Roots and Irrational Numbers

Order of Real Numbers

Guess and Check, Work Backward