Step-by-Step Guide to Finding 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.
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
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
Summary
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 What Is the Greatest 2 Digit Number?
1. Which is the greatest 3-digit number?
The greatest 3-digit number is 999. In base-10 (decimal) system, a 3-digit number ranges from 100 to 999, where 999 is formed using the highest digit, 9, in all three places:
- Hundreds place: 9
- Tens place: 9
- Units place: 9
2. What is the difference between 76432 and 23467?
To find the difference between 76432 and 23467, simply subtract the smaller number from the larger one:
$$76432 - 23467 = 52965$$
So, the difference is 52,965. At Vedantu, students can learn and practice such subtraction problems using easy-to-follow techniques and examples.
3. What is the greatest 4-digit number?
The greatest 4-digit number is 9999. In the decimal system, a 4-digit number begins at 1000 and ends at 9999, where all four places (thousands, hundreds, tens, units) are occupied by the digit 9. Understanding number values like these is a key concept in mathematics and is taught effectively at Vedantu for students across grades.
4. What is the greatest 2 digit odd number?
The greatest 2-digit odd number is 99. To clarify, two-digit numbers range from 10 to 99. Among them, odd numbers end with 1, 3, 5, 7, or 9. Since 99 ends in 9 (an odd number) and is the highest two-digit number, it is the answer. Vedantu provides targeted practice to help students recognize and work with odd and even numbers with ease.
5. What is the greatest 2-digit number?
The greatest 2-digit number is 99. In the decimal number system, two-digit numbers start from 10 and end at 99. Here, 99 uses the highest digit (9) in both tens and units places:
- Tens place: 9
- Units place: 9
6. How do you identify the largest two-digit even number?
The largest two-digit even number is 98. An even number ends in 0, 2, 4, 6, or 8. While 99 is the greatest two-digit number overall, 98 is the highest that fulfills the condition of being even. Vedantu offers worksheets and guidance for students to easily distinguish between even and odd numbers.
7. What are the steps to compare two-digit numbers?
To compare two-digit numbers:
- Check the tens digit of both numbers.
- If the tens digit is the same, compare the units digit.
- The number with the higher digit in the first differing place is larger.
8. Why is 99 considered a significant number in mathematics?
The number 99 is significant because it’s the highest two-digit number and is often used for:
- Boundary value problems in number theory
- Understanding number patterns before moving to three-digit numbers
- Forming mathematical puzzles and exercises to strengthen arithmetic skills
9. How can students remember the greatest two-digit number easily?
A simple way to remember the greatest two-digit number is to recall that:
- All two-digit numbers range from 10 to 99.
- The largest digit in base 10 is 9; combine two 9s to get 99.
10. What are some examples of two-digit numbers just before and after 99?
The number before 99 is 98, and the number after 99 is 100 (which is a three-digit number). Examples:
- 98 (greatest even two-digit number)
- 99 (greatest two-digit number)
- 100 (smallest three-digit number)
