Whole numbers on number line - class-IX

False, $13$ does not lie in between $11$ and $12$.

$(-1)\times(-1)\times(-1).......odd;times;=;Negative;sign$.

$\dfrac{-18}{5} = -3.6 $
Therefore, it lies between $-3$ and $-4.$

The smallest whole number is $0$ and the two-digit greatest whole number is $99$.

$n + n = n$

No. of whole numbers in between

Positive number are located above $0$ and negative numbers are located below $0$ on a vertical number line 

Consider $ {n}^{2} + n = n(n+1) $ 

We know that if $ n $ is a number , then $ n  +1 $ will be its consecutive number

And product of a number and its consecutive number is always even. For example, $ 2 \times 3 = 6 ; 9 \times 10 = 90 $

And as  $ {n}^{2} + n$ is an even number.  Then
$ {n}^{2} + n + 1 $ will be the next consecutive number of the even number , which is an odd number.

Hence, $ {n}^{2} + n + 1 $ will always be an odd number for all natural numbers.

$\displaystyle \frac {11}{4}, =, 2\displaystyle \frac {3}{4}$
So $\displaystyle \frac {11}{4}$ lies between $2$ and $3.$

• Here natural numbers are subset of integers , integers are subset of rational numbers and rational numbers are subset of imaginary numbers
• Therefore the correct order of defining them is shown in option $A$