Question

1. Prove the following properties of rational numbers with
all four operations.
✓ Closure property
✓ Commutative property
✓ Associative property
✓ Distributive property
( Hint: write the property and prove with your
examples. Rational numbers in the form of p/q)​

Answer 1

Answer:

Closure Property of Rational Numbers

The closure property of rational numbers states that when any two rational numbers are added, subtracted, or multiplied the result of all three cases will also be a rational number. Let us read about how the closure property of rational numbers works on all the basic arithmetic operations. We will understand this property on each operation using various illustrations.

Let us take two rational numbers 1/3 and 1/4, and perform basic arithmetic operations on them.