Word form: Writing numbers with words (four hundred twenty-seven)
Standard form: Writing numbers with digits (427)
- Identify the hundreds digit
- Write the hundreds part
- Identify the tens and ones digits
- Write the tens and ones part
4 is in the hundreds place: four hundred
27 (tens and ones): twenty-seven
Four hundred twenty-seven
Check that the number is spelled correctly
427 in word form is "four hundred twenty-seven"
• Hundreds first: Always write the hundreds part first
• Compound numbers: Use hyphens for numbers 21-99 (twenty-seven)
• No "and": Don't use "and" in whole numbers (except in decimals)
Word form: Writing numbers with words (three hundred fifty-six)
Standard form: Writing numbers with digits (356)
"Three hundred" = 3 hundreds = 300
"Fifty" = 5 tens = 50
"Six" = 6 ones = 6
356
"Three hundred fifty-six" in standard form is 356
• Word identification: Recognize hundreds, tens, and ones in words
• Digit placement: Put each part in the correct place value
• Zero handling: Include zeros for missing place values
Expanded form: Writing numbers as a sum of place values (500 + 40 + 3)
500 + 40 + 3 = 543
5 hundreds = five hundred, 4 tens = forty, 3 ones = three
Five hundred forty-three
Check that compound numbers are hyphenated (forty-three)
500 + 40 + 3 in word form is "five hundred forty-three"
• Expanded to standard: Add place values first
• Standard to word: Convert the resulting number to word form
• Hyphenation: Use hyphens for compound numbers (21-99)
Word form: Writing numbers using words (three hundred forty-seven)
Place value: The value of a digit based on its position in a number
Number sense: Understanding the value and relationships between numbers
- Identify the form: Determine if it's standard, expanded, or base-ten blocks
- Break down components: Separate into hundreds, tens, and ones
- Spell out each part: Write each place value in words
- Combine parts: Join the parts with spaces and hyphens
- Verify spelling: Check that the number is spelled correctly
Zero handling: When a place value has zero, we don't mention it in word form
6 is in the hundreds place: six hundred
0 is in the tens place: we don't mention zero tens
5 is in the ones place: five
Six hundred five (skip the tens since it's zero)
605 in word form is "six hundred five"
• Zero skipping: Don't mention zero place values in word form
• Direct transition: Go from hundreds to ones when tens is zero
• Spelling verification: Check that the number is spelled correctly
748 → ___ → ___
Multiple representations: Showing the same number in different forms
748 = 700 + 40 + 8
7 hundreds = seven hundred, 4 tens = forty, 8 ones = eight
Seven hundred forty-eight
700 + 40 + 8 = 748, "seven hundred forty-eight" = 748 ✓
748 → 700 + 40 + 8 → "seven hundred forty-eight"
• Systematic conversion: Convert step by step
• Consistent value: All forms represent the same number
• Verification: Check that all conversions are accurate
Number sense: Understanding the value and relationships between numbers
Place value system: Our base-10 number system where position determines value
Word form fluency: Quick recognition and writing of numbers in word form
- Identify the source form: Recognize standard, expanded, or block form
- Extract place values: Identify hundreds, tens, and ones
- Spell out each part: Write each place value in words
- Combine parts: Join with spaces and proper hyphens
- Verify accuracy: Check that spelling is correct
• Place value order: Always read from left to right (highest to lowest place)
• Hyphenation: Use hyphens for compound numbers 21-99
• Zero handling: Don't mention zero place values in word form
• No "and": Don't use "and" in whole numbers (except in decimals)
• Fluency: Practice until conversions become automatic
• Standard form: 347 (with digits)
• Expanded form: 300 + 40 + 7 (as sum of place values)
• Word form: Three hundred forty-seven (with words)
Examples: Each representation shows the same value differently.
- Standard: 427 → Expanded: 400 + 20 + 7 → Word: Four hundred twenty-seven
- Word: Three hundred fifty-six → Standard: 356 → Expanded: 300 + 50 + 6
- Expanded: 500 + 40 + 3 → Standard: 543 → Word: Five hundred forty-three
- Standard: 605 → Expanded: 600 + 0 + 5 → Word: Six hundred five