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The Greatest 2 Digit Number

Last updated date: 21st Feb 2024
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Introduction to the Greatest 2 Digit Number

Roman abacuses or stone tokens were used in times when people were not familiar with the number system, which dates back thousands of years. There was a growing demand for larger denominations as time passed and trade between nations and regions advanced. As a result, the number of systems that are used today was developed.

The requirement to manage larger numbers also came out as the nations advanced. We became curious about the separation between the earth and the moon, the speed of light, and the size of microorganisms, which prompted us to develop a larger number of systems. This led to the introduction of the concept of numbers and digits.

It is very simple to count small amounts. Without using a calculator or pen and paper, we can count the fingers on our hand or the petals on a flower very easily. We work with single-digit numbers in these circumstances. One is the smallest, and nine is the largest single-digit counting number. Let us learn what is the greatest number.

What are Digits?

In Mathematics, numbers are represented by digits, which are used as a single symbol. 8 and 9 are two digits in the number 89, for instance. Due to this, the numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are the digits that are used in our daily lives to represent groups of numbers and perform arithmetic operations.

In Computer Science, the word "digits" should be used instead. These digits are sometimes just referred to as numbers in Mathematics or as numerical digits. One-digit numbers range from zero to nine, with nine being the largest.

Two Digits Numbers

The smallest two-digit number is obtained by adding one unit to the largest one-digit number.

1+9 = 10

The smallest and largest 2-digit numbers are 10 and 99, respectively.

formation of two digit number

2-Digit Numbers

Now, picture a large auditorium with hundreds of people inside. With this many people, it is impossible for us to count them with our fingers alone. We use numbers with up to three digits to handle such measures.

Place Value in 2-Digit Number

Place Value in 2-Digit Number

More about 2-Digit Numbers

Some of the tips and tricks on numbers up to 2-digits.

  • Any one-digit number (from 1 to 9) multiplied by 10 produces a two-digit number as the outcome. For illustration, 4 x 10 = 40.

  • 11 is the smallest two-digit number with just one digit.

  • 10 is the smallest two-digit number with two separate digits. Thus, the smallest two-digit number is 10.

  • 99 is the largest two-digit number with just one digit. So, the largest two-digit number is 99.

  • In two-digit numbers, the only place values available are ones and tens.

  • There are 90 "2-digit numbers," numbered from 10 to 99.

Solved Example

1. Create a two-digit number with 5 in the one's place and 7 in the tens place, for example. Include the number name and the expanded form of the number.

Ans: The number is 75 if 7 is in the tens place and 5 is in the one's place.

75 expanded is equal to 70 plus 5. This can also be written as seven tens plus five ones.

Seventy-five is the name given to the number.

Practice Questions

Q1. What is the difference between the greatest and smallest 2-digit number?

Ans: 89

Q2. What is the biggest two-digit number that is divisible by 10?

Ans: 90


Only the unit place and the tens place are available for 2-digit numbers. Every number with multiple digits has various digits that are each described by their place values. Two-digit numbers have a range of 0 to 99. So, the smallest 2-digit number is 10, and the largest 2-digit number is 99.

Here we have explained all the facts about the greatest two-digit numbers. Some practice questions are provided for your better understanding, and you can test yourself with the help of these questions.

FAQs on The Greatest 2 Digit Number

1. Find the largest two-digit combination that is a square.

The aim is to find the largest pair of numbers that forms a square.

Since we are aware that 9 is the largest digit among all digits, we will create a 2-digit number.

Thus, the biggest two-digit number is 99.

Since 99 is not a perfect square right now, we will use the division algorithm to determine the remainder.

The result is 99 = 9(9) + 18.

So, we calculated the remaining as 18. In order to find the perfect square, we must subtract it from 99.

Thus, we obtain 99-18=81.

As a result, we learn that 81 is the largest two-digit number that is a perfect square.

2. What are 2-digit numbers, and what is the greatest and smallest 2-digit number?

Numbers with two digits are called 2-digit numbers, and they range from 10 to 99. Since it will be seen as a single-digit number if they begin with zero, they are unable to do so. From 1 to 9, any number can be used as the digit in the tens place. Two-digit numbers include 45, 78, 12, etc.

  • The largest two-digit number is 99 because the next number is 100, which is a 3-digit number.

  • The smallest two-digit number is 10 since the previous number is 9, which is a one-digit number.

3. What is the biggest 2-digit number divisible by 10?

A multiple of 10 is any number that is divisible by both 5 and 10. Multiples of 10 with two digits are 10, 20, 30, 40, 50, 60, 70, 80, and 90. 90 is the highest two-digit multiple of 10.

4. What is the smallest 2-digit even number, and what is the smallest 2-digit odd number?

The smallest two-digit even number is 10.

The smallest two-digit odd number is 11.

5. How many 2-digit multiples of 8 are there?

The two-digit numbers divisible by 8 are 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96. That is, 11 two-digit numbers are divisible by 8.