Arranging integer in ascending and descending order

Q.1 Arrange the following integers in ascending order 

(i)  -2,2,6,5,0,3,

(ii) 3,-3,6,1,-5,-10

(iii) -105,73,-50,-67,45 

(iv) 3,-2,1,-5,-8 

Q.2 Arrange the following integers in descending order 

(i) -8,3,4,-2,1,0,2

(ii) 25,20,-32,-28 ,9 

(iii) -3,-6,20,-12,1,5 

(iv) 4,-1,6,-10,25,5

Answer key 

Problem: 01

Arrange the given integers in ascending order 

(i)  -2,2,6,5,0,3

(ii) 3,-3,6,1,-5,-10

(iii) -105,73,-50,-67,45 

(iv) 3,-2,1,-5,-8 

Solution: 

What is ascending order ?

Ans: In ascending order, numbers are arranged from smaller to larger.

To arrange these numbers, you have to identify the greater and smaller integer 

Let’s talk a little bit about the number line

number line

Properties of numbers on the number line 

  • The numbers on the number line increase as it moves from left to right and decreases from right to left 
  • For example : Positive integer  ;  2 >1   ,3>2 ,4>3   etc 
  • whereas in negative integer;  -1>-2,-2>-3,-3>-4, etc because as we move from right to left on the number line, number decreases 

(i) -2,2,6,5,0,3

From the above number line and their properties, we see that the greatest integer is 6, smallest integer is -2 and all other number lies between these two.

We know, in ascending order number are arranged from smallest to greatest 

-2<0<2<3<5<6 

(ii) 3,-3,6,1,-5,-10

Smallest integer: -10 

Greatest integer: 6 

In Ascending order ;

-10<-5<-3<1<3<6

(iii) -105,73,-50,-67,45 

Smallest integer: -105 

Greatest integer: 73 

In Ascending order;

-105<-67<-50<45<73 

(iv) 3,-2,1,-5,-8 

Smallest integer: -8 

Greatest integer: 3 

Ascending order ; 

-8<-5<-2<1<3 

Problem: 02

Arrange the following integers in descending order 

(i) -8,3,4,-2,1,0,2

(ii) 25,20,-32,-28 ,9 

(iii) -3,-6,20,-12,1,5 

(iv) 4,-1,6,-10,25,5

Solution: 

In descending order, all properties are the same but we arrange numbers from greater to smaller.

(i) -8,3,4,-2,1,0,2

Here 

Smallest integer: -8 

Greatest integer: 4 

So, descending order

4>3>2>1>0>-2>-8 

(ii) 25,20,-32,-28 ,9 

Here 

Smallest integer: -32

Greatest integer: 25

So, descending order

25>20>9>-28>-32

(iii) -3,-6,20,-12,1,5 

Here 

Smallest integer: -12

Greatest integer: 20

So, descending order

20>5>1>-3>-6>-12

(iv) 4,-1,6,-10,25,5

Here 

Smallest integer: -10

Greatest integer: 25

descending order

25>6>5>4>-1>-10 

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