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Which number is larger in the following pair? $ - 3, - 5$

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Last updated date: 23rd Jul 2024
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Answer
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Hint: First, we shall learn about the integers. An integer is nothing but the numbers containing zero, positive or negative but cannot be fractional numbers. These integers are generally used in the various arithmetic operations such as addition, subtraction, multiplication and division. The word integer is derived from the Latin word “Integer” which means the whole. We know that there are various types of numbers such as natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers. That is, integers are one of the types of the numbers in Mathematics. Also, an integer is denoted by the symbol $Z$.
An integer is of three types:
> zero$\left( 0 \right)$
> positive numbers(natural numbers)
> negative numbers(Additive inverse of natural numbers)

Complete step-by-step solution:
Our question is to find the larger integer in the pair$ - 3, - 5$.
Basically, the numbers to the right on the number line increase and the numbers to the left always decrease.
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That is, numbers approaching the right are always larger than the numbers approaching the left.
From this pair,$ - 3, - 5$, we can say that$ - 3$is on the right and$ - 5$is on the left.
So, $ - 3 > - 5$ .
Hence $ - 3$is larger than$ - 5$.

Note: An integer is denoted by the symbol$Z$. An integer is of three types:
> Zero $\left( 0 \right)$
> Positive numbers(natural numbers)
> Negative numbers(Additive inverse of natural numbers)
We should remember some properties of integers while solving the problems based on them are:
> The addition of two positive integers is always an integer.
> The addition of two negative integers is always an integer.
> The multiplication of two positive integers is always an integer.
> The multiplication of two negative integers is always an integer.
> The addition of an integer and its inverse is zero.
> The multiplication of an integer and its inverse is one.