143 = _____ hundreds + _____ tens + _____ ones
Expanded form: Writing a number to show the value of each digit by adding the value of its digits.
Place value: The value of a digit based on its position in the number (hundreds, tens, ones).
- Identify the place value of each digit (hundreds, tens, ones)
- Count how many hundreds, tens, and ones are in the number
- Write the number as the sum of its parts
In 143: 1 is in the hundreds place, 4 is in the tens place, 3 is in the ones place
1 hundred = 1 × 100 = 100
4 tens = 4 × 10 = 40
3 ones = 3 × 1 = 3
143 = 100 + 40 + 3
143 = 1 hundred + 4 tens + 3 ones = 100 + 40 + 3
• Place value rule: Each position has a specific value (ones, tens, hundreds)
• Decomposition rule: Break down the number into its component parts
• Addition rule: The sum of parts equals the original number
One hundred forty-three = ____________
Expanded form in words: Expressing a number as the sum of the values of its digits using number words.
In 143: 1 is in the hundreds place, 4 is in the tens place, 3 is in the ones place
1 hundred = one hundred
4 tens = forty
3 ones = three
One hundred forty-three = one hundred + forty + three
One hundred forty-three = one hundred + forty + three
• Word conversion rule: Convert each place value to its word equivalent
• Number naming rule: Use correct number words for each place value
• Summation rule: Add the word parts together
Show your work.
Verification: Checking that the expanded form adds up to the original number.
100 + 40 = 140
140 + 3 = 143
143 = 143 ✓
100 + 40 + 3 = 143, so the expanded form is correct
• Verification rule: The sum of expanded parts must equal the original number
• Addition principle: Add numbers in the correct order (hundreds, then tens, then ones)
• Equality check: Confirm that both sides of the equation are equal
Place value: The value of a digit based on its position in the number (hundreds, tens, ones)
Expanded form: Writing a number as the sum of the values of its digits
Hundreds: Groups of 100 (100, 200, 300, etc.)
Tens: Groups of 10 (10, 20, 30, etc.)
Ones: Single units (1, 2, 3, etc.)
- Identify digits: Look at each digit in the number
- Determine place value: Hundreds, tens, or ones for three-digit numbers
- Calculate value: Multiply digit by its place value
- Express in expanded form: Add the values together
- Verify: Check that the sum equals the original number
• Three-digit number ABC = (A × 100) + (B × 10) + (C × 1)
• Hundreds place: digit × 100
• Tens place: digit × 10
• Ones place: digit × 1
• Expanded form: hundreds value + tens value + ones value
- Place Value: The value of a digit based on its position in the number (hundreds, tens, ones)
- Expanded Form: Writing a number as the sum of the values of its digits
- Hundreds Place: The leftmost digit in a three-digit number, representing groups of 100
- Tens Place: The middle digit in a three-digit number, representing groups of 10
- Ones Place: The rightmost digit in a three-digit number, representing single units
- Position Rule: In a three-digit number ABC, A is in the hundreds place, B is in the tens place, C is in the ones place
- Multiplication Rule: Each digit's value = digit × its place value (100 for hundreds, 10 for tens, 1 for ones)
- Addition Rule: Expanded form is the sum of all place values
- Verification Rule: The sum of expanded parts must equal the original number
- Identify each digit: In 143, identify 1 (hundreds), 4 (tens), 3 (ones)
- Determine place values: 1 × 100 = 100, 4 × 10 = 40, 3 × 1 = 3
- Write expanded form: 143 = 100 + 40 + 3
- Verify: 100 + 40 + 3 = 143 ✓
- Simple: 143 = 100 + 40 + 3
- With words: One hundred forty-three = one hundred + forty + three
- Advanced: 143 = (1 × 100) + (4 × 10) + (3 × 1)
- Visualize: Use base-10 blocks to see hundreds (flats), tens (rods), ones (units)
- Remember: Hundreds are worth 100 times their digit, tens are worth 10 times, ones are worth 1 time
- Check: Always verify by adding the expanded parts
- Pattern: The position determines the value (left to right: hundreds, tens, ones)
- ABC = (A × 100) + (B × 10) + (C × 1) for any three-digit number
- 143 specifically: 1 hundred + 4 tens + 3 ones = 100 + 40 + 3
- Always verify: Expanded form should equal original number
- Position matters: Leftmost digit is hundreds, middle is tens, rightmost is ones
143 = (___ × ___) + (___ × ___) + (___ × ___)
Expanded form with multiplication: Showing the value of each digit by multiplying the digit by its place value.
In 143: 1 is in hundreds place, 4 is in tens place, 3 is in ones place
1 hundred = 1 × 100
4 tens = 4 × 10
3 ones = 3 × 1
143 = (1 × 100) + (4 × 10) + (3 × 1)
143 = (1 × 100) + (4 × 10) + (3 × 1)
• Place value multiplication: Multiply each digit by its positional value
• Expression formation: Represent each place value as a multiplication
• Summation principle: Add the multiplication expressions
Standard form: 143
Expanded form: _______
Word form: _______
Standard form: The regular way we write numbers (143)
Expanded form: Showing the value of each digit as a sum (100 + 40 + 3)
Word form: Writing the number using words (one hundred forty-three)
Standard form of 143 is simply: 143
Expanded form: 143 = 100 + 40 + 3
Word form: one hundred forty-three
Standard form: 143
Expanded form: 100 + 40 + 3
Word form: one hundred forty-three
• Multiple representations: Numbers can be shown in different forms
• Consistency rule: All forms represent the same quantity
• Conversion principle: Each form can be converted to another
Place value: The value of a digit based on its position in the number (hundreds, tens, ones)
Expanded form: Writing a number to show the value of each digit by adding the value of its digits
Hundreds: Groups of 100 (the left digit in a three-digit number)
Tens: Groups of 10 (the middle digit in a three-digit number)
Ones: Single units (the right digit in a three-digit number)
- Identify the digits: Look at each digit in the number
- Determine place value: Hundreds place (left), tens place (middle), ones place (right)
- Calculate value: Multiply each digit by its place value (100 for hundreds, 10 for tens, 1 for ones)
- Express in expanded form: Add the calculated values together
- Verify: Make sure the sum equals the original number
• Three-digit number ABC = (A × 100) + (B × 10) + (C × 1)
• Hundreds value = hundreds digit × 100
• Tens value = tens digit × 10
• Ones value = ones digit × 1
• Expanded form = hundreds value + tens value + ones value
Questions & Answers
Question: I don't understand why 143 is 100 + 40 + 3 in expanded form. Why isn't it just 1 + 4 + 3?
Answer: Great question! This is about understanding place value. In the number 143:
- The digit "1" is in the hundreds place, so it represents 1 group of 100, which is 100
- The digit "4" is in the tens place, so it represents 4 groups of 10, which is 40
- The digit "3" is in the ones place, so it represents 3 individual units
Think of it like this: if you have 1 big box with 100 toys (100 toys), 4 bags with 10 toys each (40 toys), and 3 loose toys (3 toys), you have 143 toys total. So 143 = 100 + 40 + 3, not 1 + 4 + 3.
The position of each digit tells us its value: hundreds (left), tens (middle), ones (right).
Question: My child is struggling with expanded forms of three-digit numbers. How can I help them understand the concept better at home?
Answer: Here are some effective strategies to help your child understand expanded forms:
- Use manipulatives: Base-10 blocks (flats for hundreds, rods for tens, units for ones), or even bundled items like paper clips (bundle 100 together, then 10)
- Draw pictures: Draw 100s (big squares), 10s (rectangles), and 1s (dots) to represent numbers
- Real-world examples: Use money - $100 bills, $10 bills, $1 bills
- Games: Create number cards and have your child break them into hundreds, tens and ones
Start with smaller numbers like 100, 110, 120 and gradually work up to 143. Practice daily for 5-10 minutes to build fluency.
Question: How do I know which number is the hundreds, tens and ones when I see a three-digit number like 143?
Answer: Here's a simple way to remember:
- Look at the positions: In a three-digit number, the digit on the LEFT is the hundreds digit, the middle digit is the tens digit, and the digit on the RIGHT is the ones digit
- For example: In 143, 1 is on the left (hundreds place), 4 is in the middle (tens place), and 3 is on the right (ones place)
- Memory trick: "Left = Largest" - the left digit is largest because it represents groups of 100
Practice with different numbers: 256 (2 hundreds, 5 tens, 6 ones), 378 (3 hundreds, 7 tens, 8 ones), 409 (4 hundreds, 0 tens, 9 ones).
Remember: hundreds place is first digit, tens place is second digit, ones place is third digit!