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Question

# Rational numbers are closed under addition and multiplication but not under subtraction.

A
True
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B
False
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Solution

## The correct option is B FalseAccording to the properties of rational numbers: Rational numbers are closed under addition, subtraction, and multiplication.Closure Property Assume two rational numbers say $x$ and $y$ the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:$\frac{1}{2}+\frac{3}{4}=\frac{5}{4}$$\frac{3}{4}-\frac{1}{2}=\frac{1}{4}$$\frac{2}{3}×\frac{3}{4}=\frac{1}{2}$The division is not under closure property because division by zero is not defined. We can also say that except $‘0’$ all numbers are closed under division.Hence, the given statement is False.

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