Hello little champs! Do you remember how we learned about 4-digit numbers last year? You’ve already mastered things like writing numbers in words, understanding place value, and comparing them. Now, we’re going to take a small step forward—into the exciting world of 5-digit numbers! Let’s begin this journey together. You’ll see, it’s not hard at all. Ready? Let’s go!
What Are 5-Digit Numbers?
A 5-digit number is any number from 10,000 to 99,999.
The smallest 5-digit number is 10,000
The greatest 5-digit number is 99,999
Let’s take an example: Sanjeev had 9,999 agarbathis. His father gave him 1 more. Now he has… Yes! 10,000 agarbathis. That’s our very first 5-digit number!
Understanding Place Value in 5-Digit Numbers
Just like 4-digit numbers, 5-digit numbers have a special place for each digit. Let’s look at this number: 53,025
We break it down like this
| Place | Digit | Value |
| Ten Thousands | 5 | 50,000 |
| Thousands | 3 | 3,000 |
| Hundreds | 0 | 0 |
| Tens | 2 | 20 |
| Units | 5 | 5 |
So, the expanded form becomes:
50,000 + 3,000 + 0 + 20 + 5
Cool, right?
Let’s try another:
98,431 = 90,000 + 8,000 + 400 + 30 + 1
Place value helps us know exactly what each digit stands for. It’s like each number is sitting in its own little seat in a number train!
Changing Between Forms
Sometimes, you’ll see numbers written in expanded form and need to turn them into standard form.
Example:
8×10,000 + 5×1,000 + 2×100 + 7×10 + 6×1
= 85,276
It’s just like putting puzzle pieces back together to make the full number.
Forming Greatest and Smallest 5-Digit Numbers
Let’s say you’re given these digits: 9, 4, 6, 1, 3
To form the greatest number, arrange them from biggest to smallest:
9, 6, 4, 3, 1 → 96,431
To form the smallest, arrange them from smallest to biggest:
1, 3, 4, 6, 9 → 13,469
Just remember: Don’t repeat digits unless you’re told it’s allowed.
What if one of the digits is 0? Be careful! Zero can’t come first in a 5-digit number. For example: Given digits: 0, 2, 4, 5, 8 Start with the smallest non-zero digit (2), then add 0 next: 20,458 is the smallest possible number here.
Preceding and Succeeding Numbers
Let’s say we’re looking at 25,048.
The number before it is 25,047 (preceding number)
The number after it is 25,049 (succeeding number)
Simple! Just one less or one more.
Skip Counting With 5-Digit Numbers
Ever skipped steps while climbing? That’s what skip counting is like!
Example 1:
23,450 → 23,700 → 23,950 → ___ → ___
We’re skipping 250 every time.
Keep adding 250:
23,950 + 250 = 24,200
24,200 + 250 = 24,450
So the full pattern is: 23,450, 23,700, 23,950, 24,200, 24,450
Example 2:
25,017 → 35,017 → ___ → ___ → 65,017
We’re skipping 10,000 now.
35,017 + 10,000 = 45,017
45,017 + 10,000 = 55,017
Now we have: 25,017, 35,017, 45,017, 55,017, 65,017
Skip counting is fun, especially if you imagine you’re jumping like a frog or a squirrel
Comparing and Arranging Numbers
Let’s compare:
Which is smaller: 52,428 or 81,214?
Look at the ten-thousands place:
5 vs. 8 → 5 is smaller. So, 52,428 is smaller.
What if the first digits are the same?
Compare the next digit. Now let’s arrange numbers:
Ascending order (small to big):
35,418 → 36,719 → 36,952 → 43,709 → 45,187
Descending order (big to small):
58,791 → 57,298 → 57,093 → 54,917 → 52,169
Just take your time and look at each place—starting from the left!
FAQs
Q: What is a 5-digit number?
A: A number that has five digits, starting from 10,000 and going up to 99,999.
Q: How do I find the place value of a digit in a number?
A: Look at where the digit is placed—like 3 in 53,025 is in the thousands place, so its value is 3,000.
Q: Can a number start with zero?
A: No, a 5-digit number can’t start with zero. That would make it a 4-digit number!
Q: How do I form the greatest 5-digit number using some digits?
A: Arrange the digits in descending order—biggest to smallest.
Q: What does ‘expanded form’ mean?
A: It’s when we break a number down to show the value of each digit. Like 43,528 = 40,000 + 3,000 + 500 + 20 + 8.
Q: What is skip counting?
A: It means jumping by a fixed number each time, like +250 or +10,000.
Take assessment:
1. Oral Questions (Recall & Explanation)
These help reinforce key concepts through conversation:
- What is a fraction?
- Can you name a few things you see every day that look like fractions?
- What do we call the number above the line in a fraction?
- What does the denominator tell us?
2. Fill in the Blanks
Tests recall and understanding of terms:
- A fraction is a part of a __________.
- In the fraction 3/4, the number 3 is the __________.
- In the fraction 1/2, the number 2 is the __________.
- If I divide a pizza into 4 equal parts and take 1, I have eaten _________ of the pizza.
3. Match the Following
Great for visual learning:
| A | B |
| 1/2 | Three parts out of four |
| 3/4 | One part out of two |
| 2/3 | Two parts out of three |
| 1/4 | One part out of four |
4. True or False
Builds confidence through simple validation:
- The number on the bottom of a fraction is called the numerator. (False)
- A fraction always shows equal parts. (True)
- 1/2 and 2/4 are the same. (True)
- In the fraction 5/8, the number 8 is the numerator. (False)
5. Multiple Choice Questions (MCQs)
Let kids apply concepts in a fun quiz style: Q: What is the numerator in the fraction 2/5?
a) 2
b) 5
c) 7
d) None of the above
Q: If you cut an apple into 4 equal parts and take 3, what fraction do you have?
a) 1/4
b) 3/4
c) 2/4
d) 4/4
6. Identify the Fraction (Visual Understanding)
Show images of shapes/pizza/circles divided into parts:
- Circle divided into 2 equal parts, 1 part shaded. Ask: “What is the fraction?”
- Rectangle divided into 4 equal parts, 3 parts shaded. Ask: “What fraction is shaded?”
7. Short Answer / Write the Fraction
Let the child express what they see:
- A chocolate bar is divided into 6 equal parts. You eat 2 parts. What fraction did you eat?
- A cake is cut into 8 pieces. Your friend takes 5. What fraction did she take?
8. Use in Daily Life (Application-Based)
These develop connection with real world:
- If your mother cuts a chapati into 4 equal parts and you eat 1 part, how much did you eat?
- You see 3 out of 6 mangoes are ripe. What fraction of mangoes are ripe?
9. Arrange in Order
Helps build number sense with fractions:
- Arrange the following from smallest to largest: 1/2, 1/4, 3/4
- Which is bigger: 2/3 or 1/3?
10. Think and Answer (Reasoning)
Slightly deeper thought, encourages understanding:
- Is 2/4 the same as 1/2? Why?
- If 3 out of 4 friends went to play, what part of the group is still at home?