Table of Contents

** Ascending Order **

**Ascending ** means moving forward or climbing.

For numbers – It is the arrangement of numbers from smallest to largest.

For letters or words – It is the arrangement of letters or words alphabetically.

For dates and places – It is the arrangement of dates and places as oldest dates should come first.

### Definition of Ascending Order

**Ascending order** is the Arrangement of numbers(alphabets or others items) in a shorting order, that is from smallest to largest.

Examples of Ascending Order

### Arrangement of numbers in ascending order

- Observe the number of digits and count it in each number. We know the smallest number is with the least number of digits . Place it first. Continue this process till all the numbers left for comparison have the same number of digits.
- If some numbers are of same number of digits, then compare the numbers from the leftmost digit. Place the number with the smallest digit.
- For numbers having leftmost digits are same, start the comparison from the right . Place the number with smaller digit.
- Continue this process till we arrange all the numbers.

Example1 : Arrange numbers in **ascending order.**

17,27,6,33,12,202.

Follow the above steps to arrange in ascending order.

step 1 – count the number of digits. Least number of digit is 6.Write it first.** 6**,17,27,33,12,202.

step2 – For same number of digit start comparison from left most digit and write the smallest digit . 6,**17**,**12**,**27**,**33**,202.

step 3 – If the left most digits are same. start comparison from the right. write the smaller digit number. 6,**12**,**17**,27,33,202.

Example 2 – Arrange the numbers in ascending order.

Ans – 5,65,129,3244,28.

step1-least number of digit(single digit) come first. write 5 first.

5,65,129,3244,28.

Follow the above steps to arrange the numbers.

answer is – 5,28,65,129,3244.

### Ascending Order in fractions

Fraction is telling about the ratio of numerator and denominator.

Example 1- Arrange the fractions in ascending order.

5/6,3/5,2/3,1/2.

Ans- To solve this we have to take the LCM of the denominators.

Which is 30.

we can write these numbers as

5*5/6*5=25/30

3*6/5*6=18/30

2*10/3*10=20/30

1*15/2*15=15/30

Now **ascending the fractions** according to their numerators.

it is 1/2 < 3/5 < 2/3 < 5/6.