What is a 5-Digit Number?

S1-SA1-0002

Grade Level:

Class 4

Maths, Computing, Finance, Data Science

Definition

What is it?

A 5-digit number is a whole number that has exactly five digits. It starts from 10,000 and goes up to 99,999. These numbers are used to represent quantities larger than thousands.

Simple Example

Quick Example

Imagine the total number of runs scored by your favourite IPL team in an entire season. If they scored 12,540 runs, this is a 5-digit number. It has five places: Ten Thousands, Thousands, Hundreds, Tens, and Ones.

Worked Example

Step-by-Step

Let's identify the largest 5-digit number.

1. Start with the smallest 1-digit number, which is 0. The largest is 9.
---2. For a 2-digit number, the largest is 99.
---3. For a 3-digit number, the largest is 999.
---4. For a 4-digit number, the largest is 9,999.
---5. Following this pattern, for a 5-digit number, the largest number will have 9 in all five places.
---6. So, the largest 5-digit number is 99,999.

Answer: 99,999

Why It Matters

Understanding 5-digit numbers is crucial for handling larger amounts of data in computing and finance. For example, a data scientist might analyze voter data for a city, which could easily involve tens of thousands of people. In finance, you'll see 5-digit numbers when looking at salaries, property prices, or bank account balances.

Common Mistakes

MISTAKE: Writing 5000 for 'five thousand' and thinking it's a 5-digit number. | CORRECTION: 5000 is a 4-digit number. A 5-digit number must have a digit in the ten thousands place, like 10,000.

MISTAKE: Confusing the number of digits with the value of the digits, e.g., thinking 9999 is a 5-digit number because it's 'almost' 10,000. | CORRECTION: Count the number of places. 9999 has four digits. 10000 has five digits.

MISTAKE: Reading a 5-digit number incorrectly, like reading 23456 as 'twenty-three hundred forty-five six'. | CORRECTION: Group the digits for reading: 'twenty-three thousand, four hundred fifty-six'.

Practice Questions

Try It Yourself

QUESTION: What is the smallest 5-digit number? | ANSWER: 10,000

QUESTION: How many 5-digit numbers are there in total? (Hint: Subtract the smallest from the largest and add 1) | ANSWER: 90,000

QUESTION: A new smartphone costs Rs 18,999. Is this a 5-digit number? Write it in words. | ANSWER: Yes, it is a 5-digit number. In words: Eighteen thousand nine hundred ninety-nine.

MCQ

Quick Quiz

Which of the following is NOT a 5-digit number?

10,000

99,999

8,765

25,000

The Correct Answer Is:

Option C, 8,765, has only four digits. Options A, B, and D all have five digits, meaning they are 5-digit numbers.

Real World Connection

In the Real World

When you check the odometer in an auto-rickshaw or car, you often see 5-digit numbers showing the distance travelled, like 35,482 km. Also, when you see the number of followers for your favourite content creator on YouTube or Instagram, it can easily be in the tens of thousands, which are 5-digit numbers.

Key Vocabulary

Key Terms

DIGIT: A single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) | PLACE VALUE: The value of a digit based on its position in a number | TEN THOUSANDS PLACE: The leftmost position in a 5-digit number, representing groups of ten thousand | WHOLE NUMBER: A number without fractions or decimals (0, 1, 2, 3...)

What's Next

What to Learn Next

Great job understanding 5-digit numbers! Next, you can explore 'What is a 6-Digit Number?' This will help you understand even larger numbers and how the place value system extends to millions and beyond.