Ascending Order Questions

Ascending order questions are provided here along with solutions for students to practice them and clear their pertaining doubts. There are two ways to order numbers – ascending order and descending order. Ascending order or increasing order means arranging numbers from smallest to biggest. In contrast, descending order or decreasing order means arranging numbers from biggest to smallest.

Often we have seen in a school assembly line, students make queues according to their increasing height. Similarly, while stacking books we generally stack them in decreasing order.

Learn more about ascending and descending order.

  • Numbers can be ordered in two ways:
    • Ascending Order – Placing the given numbers from smallest to biggest.
    • Descending Order – Placing the given numbers from biggest to smallest.
  • Following signs are used to compare numbers
    • “>” – Greater than
    • “<” – Less than
    • “=” – Equal to

Trick: To remember greater than and less than signs – “>” is the crocodile and the crocodile eats always the greater number.

Ascending Order Questions with Solutions

Ordering various quantities is a skill which develops in kids studying in grades 1, 2 and 3. To enhance this skill they must be encouraged to practice the ascending order questions provided below. The questions presented here range from easy to higher-order level thinking questions which will help kids in their examinations.

Question 1: Arrange the following in ascending order:

(i) 102, 378, 367, 128, 186, 289.

(ii) 2354, 2896, 2567, 2087, 2674.

Solution:

(i) 102 < 128 < 186 < 289 < 367 < 378.

(ii) 2087 < 2354 < 2567 < 2674 < 2896.

While comparing numbers always start comparing numbers of the highest place value, if they are equal then compare the next highest place value digit and so on.

For example, we have to compare 5584 and 5548

  • We first compare the digit in the thousands place value (as it is the highest place), and we observe that both the numbers have 5 in their thousands place.
  • Next, we compare the digit in the hundreds place, again both the numbers have 5 in their hundreds place.
  • Now, we compare the digit in the tens place, we find that the first number has 8 and the second number has 4. Clearly, 8 > 4

Therefore, 5584 > 5548.

Question 2: Arrange the following in ascending order:

(i) 2209, 2227, 2295, 2245, 2221.

(ii) 10076, 10086, 10056, 10065, 10001.

Solution:

(i) 2209 < 2221 < 2227 < 2245 < 2295.

(ii) 10001 < 10056 < 10065 < 10076 < 10086.

Question 3: Arrange the following in ascending order:

(i) 8576, 8567, 9578, 9758, 9785, 8657

(ii) 197050, 103987, 106791, 104893, 102657

Solution:

(I) 8567 < 8576 < 8657 < 9578 < 9758 < 9785.

(ii) 102657 < 103987 < 104893 < 106791 < 197050.

Question 4: Form four numbers with the following digits then arrange them in ascending order.

8

2

1

3

5

Solution:

Note: You can form any number you want, here is an example.

The four numbers could be 82135, 12358, 13582, and 53128.

Arranging the numbers in ascending order:

12358 < 13582 < 53128 < 82135.

Question 5: Form five numbers with the following digits then arrange them in ascending order.

1

4

6

7

0

Solution:

The four numbers are 14076, 10476, 16047, 17064

Arranging the numbers in ascending order:

10476 < 14076 < 16047 < 17064.

Question 6: Arrange the following in ascending order:

(i) 27 + 35, 29 + 34, 25 + 31, 21 + 34, 29 + 39

(ii) 78 – 54, 64 – 23, 46 – 19, 23 – 16, 93 – 68

Solution:

(i) Solving the numbers we get,

62, 63, 56, 55, 68

Arranging the numbers in ascending order:

55 < 56 < 62 < 63 < 68.

(ii) Solving the numbers we get,

24, 41, 27, 7, 25

Arranging the numbers in ascending order:

7 < 24 < 25 < 27 < 41.

Question 7: Arrange the following numbers in ascending order:

(i) 28.34, 28.94, 27.912, 29.547, 27.836.

(ii) 356.78, 287.34, 398.60, 396.012.

Solution:

(i) 27.836 < 27.912 < 28.34 < 28.94 < 29.547.

(ii) 287.34 < 356.78 < 396.012 < 398.60.

Ordering Fractional Numbers:

  • Fractional numbers with same denominators: If the denominators are same then order by arranging numerators in ascending and descending order.
  • Fractional numbers with same numerators: If the numerators are same then fraction with highest denominator is the smallest.
  • Fractional numbers with different numerators and denominators: Convert the fractions into like-fractions, then order them according to the numerators.
  • Ordering mixed fractions: Convert the mixed fractions into like improper fractions, then arrange them according to the numerators.

Also Read:

Question 8: Arrange the following in ascending order:

(i) 22/3, 17/3, 23/3, 29/3, 16/3, 19/3.

(ii) 87/19, 73/19, 67/19, 57/19, 13/19.

Solution:

(i) 16/3 < 17/3 < 19/3 < 22/3 < 23/3 < 29/3.

(ii) 13/19 < 57/19 < 67/19 < 73/19 < 87/19.

Question 9: Arrange the following in ascending numbers:

(i) 5/6, ⅔, ½, ¾, 8/5.

(ii) 6/7, 6/17, 6/18, 6/19.

Solution:

(i) Converting all the fractions in like-fractions,

LCM of (6, 3, 2, 4, 5) = 2 × 2 × 3 × 5 = 60

∴ 5/6 = 50/60, 2/3 = 40/60, 1/2 = 30/60, 3/4 = 45/60, 8/5 = 96/60

Now arranging in ascending order,

30/60 < 40/60 < 45/60 < 50/60 < 96/60

Or, ½ < ⅔ < ¾ < ⅚ < 8/5.

(ii) Since the numerators are the same for each fraction, therefore the fraction with highest denominator is the smallest. Thus,

6/19 < 6/18 < 6/17 < 6/7

Question 10: Aman is making a roadmap for his treasure hunt game, he observed that his school is 6 km away from his home, grocery store is 1.5 km away from his home, park is 3 km away from his home, mall is 16.65 km away from his home and the railway station is 8 km away from his home. Arrange all these places by nearest to farthest distance from his home.

Solution:

Arranging all the places in ascending order of their distance from Aman’s home,

grocery store (1.5 km) < park (3 km) < school (6 km) < railway station (8 km) < Mall (16.65 km).

Ordering Integers:

  • Positive Integers: They can be ordered as normal numbers.
  • Negative Integers: Bigger numbers with negative signs are the smallest.
  • Zero: Zero is less than all the positive numbers and greater than all the negative numbers.

Question 11: Arrange the following in ascending order:

(i) – 23, 45, –45, 0, 89, –89, 101, 105, –67, –106.

(ii) – 87, –65, – ½ , 0 , –67, 35, – 56.

Solution:

(i) –106 < –89 < –67 < –45 < –23 < 0 < 45 < 89 < 101 < 105.

(ii) – 87 < –67 < –65 < – 56 < – ½ < 0 < 35.

Video Lesson on Comparing Fractions

Related Articles:

Practice Questions

1. Arrange the following in ascending order:

(i) 287, 567, 576, 598, 935, 465, 987.

(ii) –34, –67, –78, –23, –66, –35, –100.

(iii) ½, ¾, ⅚, 3/7, 6/7.

(iv) 100087, 100076, 100876, 1000456, 1000765.

(v) 24 + 90, 40 + 45, 46 – 23, 100 – 89, 128 + 6.

2. Arrange the following in ascending order:

(i) 3 ml, 300 ml, 455 ml, 0.62 l.

(ii) 34 kg, 567 g, 63 kg, 0.46 kg, 23.65 g.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*