Number Sense
🔢 Place Value Playground
Understand numbers clearly — place value, face value, expanded form, ordering, comparison & number formation.
What you will learn
- How each digit contributes (place value)
- Face value vs place value
- Writing numbers in expanded form
- Ordering & comparing numbers
- Forming largest and smallest numbers from given digits
Quick start
Use the navigation below to move through interactive slides. Try the tools, then take the mini quiz at the end.
📍 Place Value
Place value tells you how much a digit is worth depending on its position in the number.
Try it — decompose a number
Place names (right → left)
Tip: Start from the right (units) when you read each digit's value.
👤 Face Value
Face value is the digit itself — it doesn't consider position. Place value is the digit × place.
Check face vs place value
Example
Number: 4,523
Face value of digit '5' is 5. Place value of '5' (in hundreds place) is 5 × 100 = 500.
🧩 Expanded Form
Write a number as a sum of each digit × its place (skip zero terms).
Convert to expanded form
Example
7051 = 7 × 1000 + 0 × 100 + 5 × 10 + 1 × 1 →
We usually write: 7051 = 7000 + 50 + 1
↕️ Ordering Numbers
Put numbers in ascending or descending order. Look at the highest place first.
Enter numbers (comma or space separated)
Tip
Compare number of digits first. Bigger digit count → larger number (if both positive).
⚖️ Compare Numbers
Use >, <, = to compare. If digit-counts differ, the longer positive number is bigger.
Compare two numbers
Quick trick
If both numbers have the same digits count, compare from leftmost digit — first difference shows which is bigger.
🔧 Number Formation
Given digits, form the largest or smallest possible number (use digits once unless specified).
Auto-calc largest / smallest
Interactive build
Click digits to build a number, then submit.
🧠 Mini Practice
Try these quick questions to check your understanding.
Q1: Face value
What is the face value of the digit 3 in 9384?
Q2: Expanded form
Which is the expanded form of 5,204?
Q3: Ordering
Order ascending: 12, 8, 105, 51
💡 Tips & Tricks
Comparing numbers fast
- Check number of digits first.
- If equal digits, compare leftmost digits down the line.
- For formation: put largest digits left → largest number.
When zeros appear
For smallest number, avoid leading zero — place the smallest non-zero first, then zeros, then rest ascending.
🎉 Summary & Next Steps
What you learned
- Place value vs face value
- Expanded form and ordering strategies
- Comparison tips and number formation tactics
Practice ideas
- List place values for numbers around the house (phone no., building no.)
- Create 10 numbers from digits and rank them
- Challenge a friend to make the largest/smallest number