Circle the tens digit and underline the ones digit.
Write the number in expanded form.
Place value: In a 2-digit number, the left digit represents TENS and the right digit represents ONES.
- Identify the tens digit (leftmost)
- Identify the ones digit (rightmost)
- Calculate the value of each digit
- Write in expanded form: tens × 10 + ones
In 73, the tens digit is 7 and the ones digit is 3
Tens place: 7 × 10 = 70, Ones place: 3 × 1 = 3
73 = 70 + 3
Tens digit: 7, Ones digit: 3
73 = 70 + 3 (7 tens and 3 ones)
• Place value: Each position has a specific value (tens, ones)
• Expanded form: Shows the value of each digit
• Addition: Combine the values to get the original number
45 = _______ tens and _______ ones
89 = _______ tens and _______ ones
105 = _______ hundreds, _______ tens, and _______ ones
Place value breakdown: Separating a number into its hundreds, tens, and ones components.
45 has 4 tens (40) and 5 ones (5)
89 has 8 tens (80) and 9 ones (9)
105 has 1 hundred (100), 0 tens (0), and 5 ones (5)
89 = 8 tens and 9 ones
105 = 1 hundred, 0 tens, and 5 ones
45 = 4 tens and 5 ones
89 = 8 tens and 9 ones
105 = 1 hundred, 0 tens, and 5 ones
• Position matters: Hundreds are third from right, tens second from right, ones last
• Zero placeholder: Even if a place has 0, include it in the breakdown
• Counting by tens: Each ten represents 10 ones
Write 98 in expanded form.
Write the number for 60 + 4.
Write 112 in expanded form.
Expanded form: Writing a number to show the value of each digit (hundreds + tens + ones).
In 98: 9 is in tens place (90), 8 is in ones place (8)
98 = 90 + 8 (9 tens + 8 ones)
60 + 4 = 64
In 112: 1 is in hundreds place (100), 1 in tens place (10), 2 in ones place (2)
112 = 100 + 10 + 2 (1 hundred + 1 ten + 2 ones)
60 + 4 = 64
112 = 100 + 10 + 2
98 = 90 + 8
60 + 4 = 64
112 = 100 + 10 + 2
• Place value: Each position has a specific value (hundreds, tens, ones)
• Zero placeholder: Even zeros have a place value
• Standard form: Regular numeric representation
Complete Summary: Read and Write Numbers Worksheets
Place Value: The value of a digit based on its position in a number (ones, tens, hundreds)
Standard Form: The regular way we write numbers (like 45, 123)
Expanded Form: Showing the value of each digit (like 45 = 40 + 5)
Number Words: Writing numbers using letters (like forty-five)
Tens: Groups of ten ones (10, 20, 30, etc.)
Ones: Single units (1, 2, 3, etc.)
Hundreds: Groups of ten tens (100, 110, 120, etc.)
• Position Rule: Each position in a number has a specific value (rightmost = ones, next = tens, third = hundreds)
• Base-10 Rule: Our number system is based on groups of ten
• Zero Placeholder Rule: Zeros hold places even when there are no units in that position
• Hyphenation Rule: Compound numbers 21-99 use hyphens (twenty-one, thirty-five)
• Reading Rule: Read from left to right, starting with the highest place value
For Place Value Identification:
- Look at each digit in the number
- Identify its position (hundreds, tens, or ones)
- Multiply the digit by its place value (100, 10, or 1)
- State how many hundreds, tens, and ones
For Expanded Form:
- Separate each digit with its place value
- Write the value of each digit (e.g., 5 in tens place = 50)
- Connect with addition signs
- Verify by adding to get the original number
For Number Words:
- Break the number into hundreds, tens, and ones
- Convert each part to words
- Combine with hyphens for compound numbers
- Remember special names for 11-19
Simple Examples:
• 23 = 20 + 3 (2 tens and 3 ones)
• 45 = forty-five
Intermediate Examples:
• 78 = 70 + 8 (7 tens and 8 ones)
• 91 = ninety-one
Advanced Examples:
• 104 = 100 + 0 + 4 (1 hundred, 0 tens, 4 ones)
• 117 = one hundred seventeen
Tips:
• Count by tens to reach larger numbers (10, 20, 30... 100, 110, 120)
• Use base-10 blocks to visualize tens and ones
• Remember that numbers 11-19 have special names
• When writing number words, use hyphens for compound numbers
Common Mistakes:
• Confusing tens and ones digits (e.g., thinking 40 has 0 tens and 4 ones)
• Forgetting zero placeholders in expanded form (e.g., 105 = 100 + 5 instead of 100 + 0 + 5)
• Misreading "teen" numbers (confusing 14 and 40)
• Not using hyphens in compound number words
• Memorize patterns: Numbers follow predictable patterns (20s, 30s, etc.)
• Remember special cases: 11-19 have unique names
• Practice regularly: Daily exposure builds fluency
• Visual associations: Connect numbers to quantities of objects
• Use mnemonics: "Tens are bigger" (tens place is worth more than ones)
Place value: The value of a digit based on its position in a number
Expanded form: Writing a number showing the value of each digit
Standard form: Regular numeric representation (123)
- Identify positions: Recognize hundreds, tens, and ones places
- Find digit values: Multiply each digit by its place value
- Combine values: Add the place values together
- Verify: Check that the expanded form equals the original number
• Place value order: Hundreds, Tens, Ones (from left to right)
• Number words: Hyphens connect tens and ones (thirty-two)
• Expanded form: Shows each digit's value separately
• Zero placeholder: Even if a place has 0, include it in expanded form
Counting sequence: Numbers increase by one from 1 to 120
Tens pattern: Every ten numbers, the tens digit increases by one
Number families: Similar patterns in numbers (20s, 30s, etc.)
- Read carefully: Understand what the worksheet is asking
- Work systematically: Go in order from top to bottom
- Check your work: Verify each answer makes sense
- Use tools: Counters, number lines, or base-10 blocks if needed
• Teen numbers: 11-19 (eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen)
• Ty numbers: 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
• Compound numbers: Use hyphens (twenty-one, thirty-five, etc.)
• Hundreds: One hundred, one hundred one, one hundred two, ..., one hundred twenty
Type 1: Fill in place value blanks (___ tens and ___ ones)
Type 2: Convert between standard and expanded forms
Type 3: Write number words from numerals
Type 4: Match numerals to number words
Type 5: Order numbers from least to greatest
- For place value problems: Identify each digit's position
- For expanded form: Separate each digit with its place value
- For number words: Break into hundreds, tens, and ones
- For ordering: Compare starting with the highest place value
• Take your time: Don't rush through the problems
• Show your work: Write out expanded forms to help verify answers
• Check your answers: Add expanded forms to make sure they equal the original number
• Ask for help: When stuck, try using manipulatives or ask a teacher
Questions & Answers
Question: I sometimes get confused when I see a number like 103 and have to fill in the place value. Should I write "1 hundred, 3 tens, and 0 ones" or "1 hundred, 0 tens, and 3 ones"?
Answer: Great question! You should write "1 hundred, 0 tens, and 3 ones". Here's how to figure it out:
- Look at the number 103 from left to right
- The first digit (1) is in the hundreds place
- The second digit (0) is in the tens place
- The third digit (3) is in the ones place
Even though there are no tens in 103 (the tens digit is 0), you still need to include it in the place value breakdown because it holds the tens place. This is important for understanding the structure of our number system.
Remember: 103 = 100 + 0 + 3 = 1 hundred + 0 tens + 3 ones
Question: My child struggles with expanded form worksheets. They often forget to include the zero when there are no tens. How can I help them remember?
Answer: This is a very common challenge! Here are some helpful strategies:
- Use base-10 blocks: Show that even when there are no tens, the tens place still exists (like having an empty box)
- Make it visual: Draw three boxes labeled H, T, O and have them fill each box regardless of whether it's zero
- Create a chant: "Every number needs all the places, even if they're just zeros!"
- Practice with money: Relate to dollars ($100), dimes (tens), and pennies (ones)
You can also encourage your child to think of the zero as "nothing in this place" - it's still important because it holds the place for where the tens would be if there were any.
Example: 104 means 1 hundred, 0 tens, and 4 ones. The zero in the tens place tells us there are no groups of ten.
Question: On my worksheet, I had to write the number for "sixty-seven" but I wrote 607. Why was that wrong?
Answer: That's a good try, but there's a small misunderstanding! Let's break down "sixty-seven":
- "Sixty" means 6 tens (which is 60)
- "Seven" means 7 ones (which is 7)
- Together: 60 + 7 = 67
You wrote 607, which would be "six hundred seven" - that's much larger than sixty-seven!
When you see a number word with "ty" in it (like twenty, thirty, forty, fifty, sixty), it means that many tens. So "sixty" = 6 tens = 60. Then you add the "seven" = 7 ones.
Remember: "Sixty-seven" = 67, not 607. The "ty" part tells you how many tens, not hundreds!