Digits - History | 2, 3, 4, & 5 Digit Numbers | Operations on Digits (2024)

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

The term digits are preferably used in computer science. In mathematics, these digits are said to be numerical digits or sometimes simply numbers. The smallest one-digit number is 1 and the largest one-digit number is 9.

History of digits

Thousands of years ago, when the number system was not known to people, roman abacus or stone tokens were used. With epoch of time and advancements in trade across regions and countries, the need for bigger denominations was felt. This led to the introduction of the number systems, as we know today. As the nations progressed, the need to deal with bigger numbers also came forth. The distance between the earth and the moon, the speed of light, the size of a microorganism; these curiosities instilled in us, the need for expanding our number systems. The concept of numbers and digits was introduced hence.

Counting small numbers is very easy. The petals of a flower, the fingers in our hand, we can count these numbers very easily, without the aid of a calculator or a pen and paper. In such cases, we deal with numbers with a single digit. The smallest single digit counting number is 1 whereas the greatest is 9.

Now imagine the students in your class. Can u count them easily? One might say yes for a small class of forty to eighty students. Similarly, for counting the buildings in a locality, the number of general stores in a locality and so on. To keep a track of such measures, we use numbers up to two digits.

Two digits numbers

When we add one unit to the greatest one-digit number we get the smallest two-digit number.

1+9 = 10

The smallest two-digit number is 10 and the greatest is 99.

Now imagine an auditorium, filled with hundreds of people. We definitely cannot count these many people, just by using our fingertips. In order to deal with such measures, we use numbers up to three digits.

Digits - History | 2, 3, 4, & 5 Digit Numbers | Operations on Digits (1)

Three Digit Numbers

When we add one unit to the greatest two-digit number we get the smallest three-digit number.

1+99 = 100

The smallest three-digit number is 100 and the greatest is 999.

Now, imagine the crowd in a sports pavilion, filled with thousands of people. Or say, the cost of a cupboard or a bicycle, in order to deal with such measures we use digits up to four digits.

Digits - History | 2, 3, 4, & 5 Digit Numbers | Operations on Digits (2)

Four Digit Numbers

When we add one unit to the greatest three-digit number we get the smallest four-digit number.

1+999 = 1000

The smallest four-digit number is 1000 and the greatest is 9999.

When we deal with numbers as big as the population of a state, or the cost of the motorcycle, we need to deal with numbers that go on to five digits.

Digits - History | 2, 3, 4, & 5 Digit Numbers | Operations on Digits (3)

Five Digit Numbers

When we add one unit to the greatest four-digit number we get the smallest five-digit number.

1+9999 = 10000Digits - History | 2, 3, 4, & 5 Digit Numbers | Operations on Digits (4)

The smallest five-digit number is 10000 and the greatest five-digit number is 99999.

To learn more about the topic, download BYJU’S – The Learning App from Google Play Store and watch interactive videos.

Digits - History | 2, 3, 4, & 5 Digit Numbers | Operations on Digits (2024)

FAQs

How many five digit numbers can be formed from the digits 2, 3, 4, 5, and 6? ›

Final answer:

We can create 120 five-digit numbers from the digits 2,3,4,5,6.

What is the sum of all numbers formed with the digits 2 3 4 5? ›

∴ Total sum is (2+3+4+5)×6×(1111)=93324.

How many 5 digit numbers can be made by using the digits 1, 2, 3, 4, 5 without repetition? ›

Yes the answer is 120. This is the space for five digit number. So, first place can have any of the 5 numbers. Second place can have any of the remaining 4 numbers, since one number is already used in the first place.

How many 5 digit numbers can be formed by using the digits 2, 3, 4, 5, 6, and 7 that have distinct digits and are multiples of 12, 36, 60, 84, 120? ›

For each of these combinations, there are 6 different numbers possible. So, with this set of 5 digits we can have 36 different numbers.

How many numbers can be formed from the digits 1 2 3 4 5? ›

Total Number of Numbers which can be formed by numbers 1,2,3,4,5 (without repeating digitsi) = 5*4*3*2*! = 5! = 120.

How many 5 digit numbers can be made from digits 1 2 3 4 and 5? ›

How many five digit numbers can be formed by using the digits 1,2,3,4,5 without repetition of digits? 120.

What is the sum of all 4 digit numbers formed using 2 3 4 5 without repetition? ›

Answer and Explanation:

The sum of all the 4-digit numbers formed using the digits 2, 3, 4, and 5 (without repetition) is 93, 324.

What is the sum of all four digit numbers using 1 2 3 4 5? ›

Therefore total sum of all numbers =24 x (15+150+1500+15000)=399960 .

How many numbers can be formed by the digits 1 2 3 4 and 5 if the numbers are less than 1000 and repetition is allowed for each digit? ›

Total number of natural numbers \[=180+30+5=215\] . Hence, the total number of natural numbers is 215.

How many numbers can you make by using the digits 2 5 and 3? ›

Answer. There are six positive 3 digit numbers using 2,3 and 5 only once: 235, 253, 325, 352, 523, 532. For each of these, there is a negative counterpart. So there are a total of 12.

How many numbers can you make using the digits 1 2 3 and 4? ›

That gives us 4×3×2×1=4! =24 numbers.

How many 3 digits can be formed from the digits 1 2 3 4 5 6 if the digits can be repeated? ›

Detailed Solution

⇒ Number of ways = 120. ∴ The required number of ways formed using 3- digit number using 1, 2, 3, 4, 5, 6 is 120. The KPSC will release the notification KPSC Group C recruitment 2024 for various posts. The posts are Junior Engineer, Electrician, Operator, and Health Inspector.

How many times 3 comes in 100 to 10,000? ›

Bunuel wrote: If we listed all numbers from 100 to 10,000, how many times would the digit 3 be printed? Total integers= 280+ 2700 +1000 = 3980.

How many 3 digit numbers can be formed with the digits 2 3 4 and 5? ›

The next part of the question was finding how many 3-digit numbers can be formed using 2, 3, 4 and 5 using at most one each. I was able to get this question, by changing 2, 3, 4 and 5 to 1, 2, 3 and 4; then multiplying 4 by 3 by 2 to give 24 possibilities.

How many 3 digit numbers can be formed with the digits 2 3 4 and 5 with no repetitions allowed? ›

How many 3 digit numbers can be formed with the digits 1,2,3,4,5 where digits may not be repeated? 60.

How many 5 digit numbers can be formed with digits 1 2 3 4 5 6 that are divisible by 4 and digits are not repeated? ›

Required 5 digit number =5×5×5×5=625. Q.

How many 4 digit numbers can be formed from the digits 2 3 5 6 and 7? ›

A four-digit number can be filled in its initial position in one of three ways. ∴ 60 four-digit numbers can be formed from the digits 2, 3, 5, 6, 7, and 9. Divisible by five digits 2, 3, 5, 6, 7, and 9, none of which are repeated, can be combined to create 60 four-digit numbers.

How many numbers of five digits can be made with the digits 3, 4, and 5, each of which can be used at most thrice in a number? ›

So, there are 6000 different 5-digit numbers that can be formed using the digits 3, 4, and 5, with each digit used thrice.

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, and 9 which are divisible by 5 and none of the digits is repeated? ›

∴ Required number of numbers = (1 x 5 x 4) = 20. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

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