Understanding Place Value and Face Value
What is Face Value?
Face Value (also called Name Value) is simply the value of the digit itself, no matter where it appears in a number.
Examples:
- In the number 47, the face value of 4 is 4, and the face value of 7 is 7
- In the number 82, the face value of 8 is 8, and the face value of 2 is 2
Think of it this way: Face value is what the digit “looks like” – it’s just the number itself!
What is Place Value?
Place Value is the value of a digit based on its position in the number.
For numbers up to 99, we have two places:
- Tens Place (left side) – worth 10 times the digit
- Ones Place (right side) – worth exactly the digit’s value
Visual Representation:
4 2
↑ ↑
Tens Ones
Place Place
Examples:
-
In the number 42:
- The digit 4 is in the tens place → place value = 40 (4 tens = 40)
- The digit 2 is in the ones place → place value = 2 (2 ones = 2)
-
In the number 67:
- The digit 6 is in the tens place → place value = 60 (6 tens = 60)
- The digit 7 is in the ones place → place value = 7 (7 ones = 7)
Key Difference: Face Value vs Place Value
| Number | Digit | Face Value | Place Value |
|---|---|---|---|
| 35 | 3 | 3 | 30 (tens place) |
| 35 | 5 | 5 | 5 (ones place) |
| 89 | 8 | 8 | 80 (tens place) |
| 89 | 9 | 9 | 9 (ones place) |
Simple Rule: Face value stays the same; place value changes based on position!
What is Expanded Form?
Expanded Form means breaking a number into parts based on the place value of each digit. We show how much each digit is really worth!
Basic Concept
When we write a number in expanded form, we’re answering: “What does this number really mean?”
Example: The number 56 means:
- 5 tens (which equals 50)
- PLUS 6 ones (which equals 6)
So we write: 56 = 50 + 6
Step-by-Step Guide to Writing Expanded Form
Step 1: Identify the Digits
Look at your number and identify each digit.
Example: Number 73
- First digit: 7
- Second digit: 3
Step 2: Find the Place Value
Determine what each digit is worth based on its position.
Example: Number 73
- 7 is in the tens place → 7 tens = 70
- 3 is in the ones place → 3 ones = 3
Step 3: Write with a Plus Sign
Connect the place values with a plus (+) sign.
Example: 73 = 70 + 3
Practice Examples
One-Digit Numbers (1-9)
These are special! They only have ones, no tens.
- 5 = 5 (just 5 ones)
- 8 = 8 (just 8 ones)
- 9 = 9 (just 9 ones)
Two-Digit Numbers (10-99)
Example 1: 24
- 2 is in tens place = 20
- 4 is in ones place = 4
- 24 = 20 + 4
Example 2: 58
- 5 is in tens place = 50
- 8 is in ones place = 8
- 58 = 50 + 8
Example 3: 91
- 9 is in tens place = 90
- 1 is in ones place = 1
- 91 = 90 + 1
Special Cases: Numbers with Zero
Example: 30
- 3 is in tens place = 30
- 0 is in ones place = 0
- 30 = 30 + 0 or simply 30 = 30
(We usually don’t write “+ 0” because it doesn’t add anything!)
Tips and Tricks for Students
🎯 Tip 1: The “Cover-Up” Trick
Cover the ones digit with your finger. What’s left? That’s your tens value!
Example: In 46, cover the 6 → you see 4 → that’s 4 tens = 40
🎯 Tip 2: Think in Bundles
- Tens are like bundles of 10
- Ones are single items
- 34 means 3 bundles of 10 (30) + 4 single items (4)
🎯 Tip 3: Use Base-10 Blocks
- Long blocks = tens (worth 10 each)
- Small cubes = ones (worth 1 each)
- Count your longs, multiply by 10, then add the cubes!
🎯 Tip 4: The “Say It” Method
Say the number aloud in a special way:
- 67 → “sixty-seven” → “sixty AND seven” → 60 + 7
- 82 → “eighty-two” → “eighty AND two” → 80 + 2
🎯 Tip 5: Place Value Chart
Draw a simple two-column chart:
Tens | Ones
-----|-----
4 | 5
Then write: 4 tens + 5 ones = 40 + 5 = 45
🎯 Tip 6: Quick Check
After writing expanded form, add the parts back together to check:
- If 38 = 30 + 8, then does 30 + 8 = 38? ✓ Yes! Correct!
🎯 Tip 7: Remember the Zero Rule
When you see numbers like 20, 30, 40… 90:
- These have zero in the ones place
- We usually just write them as is: 50 (not 50 + 0)
🎯 Tip 8: Pattern Recognition
All two-digit numbers follow this pattern: __ __ = __ 0 + __
Example:
- 76 = 70 + 6
- 29 = 20 + 9
- 53 = 50 + 3
Common Mistakes to Avoid
❌ Mistake 1: Forgetting the Zero
Wrong: 45 = 4 + 5 Right: 45 = 40 + 5
Remember: The 4 is in the tens place, so it’s worth 40!
❌ Mistake 2: Adding Extra Zeros
Wrong: 62 = 60 + 20 Right: 62 = 60 + 2
The 2 is in the ones place, not tens!
❌ Mistake 3: Mixing Up Face Value and Place Value
Wrong: In 83, the place value of 8 is 8 Right: In 83, the place value of 8 is 80 (because it’s in the tens place)
Remember: Understanding expanded form builds the foundation for addition, subtraction, and working with larger numbers in the future!
This worksheet covers the topic of expanded form, the place value and face value of 2-digit numbers.
The worksheet has following types of questions-
Write the expanded form of the following numbers.
Write the place value of the underlined numbers.
Write the place name of the following underlined numbers.
No. of sheets- 2
