Answer

Verified

447.9k+ views

Hint: Instead of thinking a positive number one should also look for negative numbers too as negative integers do exist and are less than positive ones.

Complete step-by-step answer:

In the question we are asked to find out the smallest integer that can be written with two digits.

Before finding it we will first explain what is integer.

An integer (from the Latin integer meaning “whole”) is a number that can be written without a fractional component. For example 21, 4, 0, -2408 are integers while $975,5\dfrac{1}{2},\sqrt{2}$ are not.

The integer set consists of zero (0), the positive natural numbers (1, 2, 3….), also called whole numbers or counting numbers, and their additive inverses (that is, the negative integers -1, -2, -3…).

The set of integers is often denoted by a Z standing for Zahlen (numbers).

Z is a subset of the set of all rational numbers Q, in turn a subset of real number R. Like the natural numbers, rational and numbers are countably infinite.

Now as we know negative numbers are always less than positive numbers so we will choose two digit numbers from the set of negative numbers.

Hence the least two digits integer is -99.

Note: Students generally confuse themselves and they will write 10 which is not the correct answer as they forget about the negative numbers are also integers. That is why, while choosing the smallest integer they should take care of negative ones too so that the answer doesn’t get wrong.

Complete step-by-step answer:

In the question we are asked to find out the smallest integer that can be written with two digits.

Before finding it we will first explain what is integer.

An integer (from the Latin integer meaning “whole”) is a number that can be written without a fractional component. For example 21, 4, 0, -2408 are integers while $975,5\dfrac{1}{2},\sqrt{2}$ are not.

The integer set consists of zero (0), the positive natural numbers (1, 2, 3….), also called whole numbers or counting numbers, and their additive inverses (that is, the negative integers -1, -2, -3…).

The set of integers is often denoted by a Z standing for Zahlen (numbers).

Z is a subset of the set of all rational numbers Q, in turn a subset of real number R. Like the natural numbers, rational and numbers are countably infinite.

Now as we know negative numbers are always less than positive numbers so we will choose two digit numbers from the set of negative numbers.

Hence the least two digits integer is -99.

Note: Students generally confuse themselves and they will write 10 which is not the correct answer as they forget about the negative numbers are also integers. That is why, while choosing the smallest integer they should take care of negative ones too so that the answer doesn’t get wrong.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE