24 = _____ 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.
- Identify the place value of each digit (tens, ones)
- Count how many tens and ones are in the number
- Write the number as the sum of its parts
In 24: 2 is in the tens place, 4 is in the ones place
2 tens = 2 × 10 = 20
4 ones = 4 × 1 = 4
24 = 20 + 4
24 = 2 tens + 4 ones = 20 + 4
• 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
57 = _____ tens + _____ ones
Expanded form: Expressing a number as the sum of the values of its digits.
In 57: 5 is in the tens place, 7 is in the ones place
5 tens = 5 × 10 = 50
7 ones = 7 × 1 = 7
57 = 50 + 7
57 = 5 tens + 7 ones = 50 + 7
• Place value rule: The tens digit represents groups of 10
• Value calculation: Multiply digit by its place value
• Summation rule: Add the values together to get the original number
83 = _____ tens + _____ ones
Expanded form: Breaking down a number to show the value of each digit based on its position.
In 83: 8 is in the tens place, 3 is in the ones place
8 tens = 8 × 10 = 80
3 ones = 3 × 1 = 3
83 = 80 + 3
83 = 8 tens + 3 ones = 80 + 3
• Position rule: The leftmost digit is in the tens place for two-digit numbers
• Value determination: Each digit's value depends on its position
• Verification rule: The sum of expanded parts equals the original number
Place value: The value of a digit based on its position in the number
Expanded form: Writing a number as the sum of the values of its digits
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: Tens or ones for two-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
• Two-digit number AB = (A × 10) + B
• Tens place: digit × 10
• Ones place: digit × 1
• Expanded form: tens value + ones value
49 = _____ tens + _____ ones
Expanded form: Showing the value of each digit in a number by writing it as a sum of its parts.
In 49: 4 is in the tens place, 9 is in the ones place
4 tens = 4 × 10 = 40
9 ones = 9 × 1 = 9
49 = 40 + 9
49 = 4 tens + 9 ones = 40 + 9
• Place value recognition: Identify the tens and ones positions
• Value calculation: Multiply each digit by its place value
• Summation principle: Combine the values using addition
72 = _____ tens + _____ ones
Expanded form: Expressing a number as the sum of the values of its digits based on their position.
In 72: 7 is in the tens place, 2 is in the ones place
7 tens = 7 × 10 = 70
2 ones = 2 × 1 = 2
72 = 70 + 2
72 = 7 tens + 2 ones = 70 + 2
• Position identification: Determine where each digit is located
• Value multiplication: Multiply digit by its positional value
• Expression formation: Write as a sum of the calculated values
Place value: The value of a digit based on its position in the number (tens, ones)
Expanded form: Writing a number to show the value of each digit by adding the value of its digits
Tens: Groups of 10 (the left digit in a two-digit number)
Ones: Single units (the right digit in a two-digit number)
- Identify the digits: Look at each digit in the number
- Determine place value: Tens place (left) or ones place (right)
- Calculate value: Multiply each digit by its place value (10 for tens, 1 for ones)
- Express in expanded form: Add the calculated values together
- Verify: Make sure the sum equals the original number
• Two-digit number AB = (A × 10) + (B × 1)
• Tens value = tens digit × 10
• Ones value = ones digit × 1
• Expanded form = tens value + ones value
Questions & Answers
Question: I don't understand why 24 is 20 + 4 in expanded form. Why isn't it just 2 + 4?
Answer: Great question! This is about understanding place value. In the number 24:
- The digit "2" is in the tens place, so it represents 2 groups of 10, which is 20
- The digit "4" is in the ones place, so it represents 4 individual units
Think of it like this: if you have 2 bags with 10 apples each (20 apples) and 4 loose apples (4 apples), you have 24 apples total. So 24 = 20 + 4, not 2 + 4.
The position of each digit tells us its value: the left position is tens, the right position is ones.
Question: My child is struggling with expanded forms. 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, counting sticks, or even bundled items like straws (bundle 10 straws together)
- Draw pictures: Draw 10s (groups of 10 dots) and 1s (single dots) to represent numbers
- Real-world examples: Use money - dimes represent tens, pennies represent ones
- Games: Create number cards and have your child break them into tens and ones
Start with smaller numbers like 12, 15, 23 and gradually work up. Practice daily for 5-10 minutes to build fluency.
Question: How do I know which number is the tens and which is the ones when I see a two-digit number?
Answer: Here's a simple way to remember:
- Look at the positions: In a two-digit number, the digit on the LEFT is the tens digit, and the digit on the RIGHT is the ones digit
- For example: In 47, 4 is on the left (tens place) and 7 is on the right (ones place)
- Memory trick: "Left = Large" - the left digit is larger because it represents groups of 10
Practice with different numbers: 35 (3 tens, 5 ones), 68 (6 tens, 8 ones), 91 (9 tens, 1 one).
Remember: the tens place is always the first digit you read from left to right!