a) forty-three
b) seventy-eight
c) one hundred five
Number words to numerals: Converting written number words into numeric form (digits).
- Identify the number word parts (hundreds, tens, ones)
- Convert each part to digits
- Combine the digits in the correct order
"forty" = 4 tens (40), "three" = 3 ones (3)
40 + 3 = 43
Seventy-eight: 70 + 8 = 78
One hundred five: 100 + 0 + 5 = 105
b) seventy-eight = 78
c) one hundred five = 105
a) 43, b) 78, c) 105
• Hyphenated compounds: Words connected by hyphens represent tens and ones (thirty-one = 31)
• "Ty" ending: Indicates multiples of ten (forty = 40, seventy = 70)
• "Hundred" rule: "One hundred" means 100, followed by tens and ones
| Number Word | Parts | Numerical Form |
|---|---|---|
| forty-three | forty + three | 40 + 3 = 43 |
| seventy-eight | seventy + eight | 70 + 8 = 78 |
| one hundred five | one hundred + five | 100 + 0 + 5 = 105 |
a) 56
b) 89
c) 112
Numerals to number words: Converting numeric form (digits) into written number words.
5 is in tens place (fifty), 6 is in ones place (six)
fifty + six = fifty-six
89: eighty + nine = eighty-nine
112: one hundred + twelve = one hundred twelve
b) 89 = eighty-nine
c) 112 = one hundred twelve
a) fifty-six, b) eighty-nine, c) one hundred twelve
• Hyphenation rule: Use hyphens for compound numbers 21-99 (twenty-one, thirty-five)
• Special teens: Numbers 11-19 have unique names (eleven, twelve, thirteen...)
• Hundreds pattern: "One hundred" + number word for remaining digits
a) 34 = _______
b) ninety-one = _______
c) 107 = _______
d) one hundred eighteen = _______
Mixed conversions: Practicing both directions of number word and numeral conversion.
3 tens (thirty) + 4 ones (four) = thirty-four
ninety = 90, one = 1, so 90 + 1 = 91
1 hundred (one hundred) + 0 tens (zero) + 7 ones (seven) = one hundred seven
one hundred = 100, eighteen = 18, so 100 + 18 = 118
b) ninety-one = 91
c) 107 = one hundred seven
d) one hundred eighteen = 118
a) thirty-four, b) 91, c) one hundred seven, d) 118
• Place value: Each position has a specific value (hundreds, tens, ones)
• Zero placeholder: Even zeros have a place value
• Hyphenation: Compound numbers use hyphens (thirty-four)
• Special cases: Numbers 11-19 have unique names
Complete Summary: Reading and Writing Number Words
Number Words: Writing numbers using letters instead of digits (like "twenty-five" instead of "25")
Numerals: The regular way we write numbers using digits (like 45, 123)
Place Value: The value of a digit based on its position in a number (ones, tens, hundreds)
Tens Words: Special words for multiples of ten (ten, twenty, thirty, forty, etc.)
Ones Words: Words for single digits (one, two, three, four, etc.)
Teen Numbers: Numbers 11-19 with special names (eleven, twelve, thirteen, etc.)
Compound Numbers: Numbers made of tens and ones (twenty-one, thirty-five, etc.)
• Hyphenation Rule: Compound numbers 21-99 use hyphens (twenty-one, thirty-five)
• Teen Rule: Numbers 11-19 have unique names (eleven, twelve, thirteen...)
• "Ty" Rule: Words ending in "ty" indicate multiples of ten (thirty = 30, forty = 40)
• Hundreds Rule: "One hundred" + number word for remaining digits
• Order Rule: Read from highest place value to lowest (hundreds, then tens, then ones)
For Numerals to Number Words:
- Identify the place value of each digit
- Convert each digit to its word form
- Combine using proper hyphenation rules
- Remember special names for 11-19
For Number Words to Numerals:
- Break the word into parts (hundreds, tens, ones)
- Convert each part to digits
- Combine the digits in the correct order
- Pay attention to hyphenated compound words
For Verification:
- Read your answer aloud to check if it matches the original
- Count the digits to match the place value
- Compare with known examples
Simple Examples:
• 5 = five
• 12 = twelve
• 20 = twenty
Intermediate Examples:
• 34 = thirty-four
• 87 = eighty-seven
• 99 = ninety-nine
Advanced Examples:
• 103 = one hundred three
• 115 = one hundred fifteen
• 120 = one hundred twenty
Tips:
• Practice saying numbers aloud to build familiarity
• Remember that "teen" numbers (11-19) have unique names
• Use hyphens for compound numbers (thirty-one, not thirty one)
• Think of "ty" numbers as groups of tens (thirty = 3 tens = 30)
Common Mistakes:
• Forgetting hyphens in compound numbers (writing "thirty one" instead of "thirty-one")
• Confusing teen numbers (thinking 15 is "fiveteen" instead of "fifteen")
• Misplacing zeros in hundreds (writing "one hundred and three" instead of "one hundred three")
• Reversing the order (writing "five thirty" instead of "thirty-five")
• Memorize special cases: 11-19 have unique names (eleven, twelve, thirteen...)
• Learn the "ty" pattern: twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety
• Remember "one hundred": Always starts with "one hundred" followed by the rest
• Practice daily: Regular exposure builds fluency
• Use visual aids: Charts and flashcards help with memorization
Number words: Writing numbers using letters instead of digits
Hyphenation: Using "-" to connect tens and ones in compound numbers
Place value: The value of a digit based on its position
- Identify place values: Recognize hundreds, tens, and ones places
- Match to words: Convert each digit to its corresponding word
- Apply grammar rules: Use hyphens for compound numbers
- Verify accuracy: Check that your answer matches the original number
• Hyphenation rule: Use hyphens for compound numbers 21-99 (twenty-one)
• Teen numbers: 11-19 have special names (eleven, twelve, thirteen...)
• Zero placeholder: Even if a place has 0, include it in expanded form
• Hundreds pattern: "One hundred" + remaining digits
Ones pattern: one, two, three, four, five, six, seven, eight, nine
Tens pattern: ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety
Teens pattern: eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen
Compound pattern: tens + hyphen + ones (twenty-one, thirty-five, etc.)
- Look at the number of digits: 1-digit, 2-digit, or 3-digit
- Identify place values: Hundreds, tens, ones
- Read from left to right: Start with the highest place value
- Combine parts: Read each group correctly
• Teen numbers: 11-19 (eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen)
• Ty numbers: 20, 30, 40, 50, 60, 70, 80, 90
• Compound numbers: Use hyphens (twenty-one, thirty-five, etc.)
• Hundreds: One hundred, one hundred one, one hundred two, ..., one hundred twenty
Problem 1: Write "fifty-nine" as a numeral.
Problem 2: Write 74 as a number word.
Problem 3: Write "one hundred sixteen" as a numeral.
Problem 4: Write 108 as a number word.
- For number words to numerals: Identify each part and convert to digits
- For numerals to number words: Break into hundreds, tens, and ones
- Apply proper grammar: Use hyphens for compound numbers
- Verify: Check that your answer matches the original
• Fifty-nine: 59
• 74: seventy-four
• One hundred sixteen: 116
• 108: one hundred eight
Questions & Answers
Question: Why is it "eleven" and "twelve" instead of "oneteen" and "twoteen"? The other numbers like 13, 14, 15 all have "teen" at the end.
Answer: That's a great observation! "Eleven" and "twelve" are special because they come from old English words. They were named differently long ago, and we still use those old names today. Here's the history:
- "Eleven" comes from the old English word "endleofan" which meant "one left over" (after counting to ten)
- "Twelve" comes from "twelf" which meant "two left over" (after counting to ten)
- Starting with 13, the pattern became more consistent: "thir" (three) + "teen" (ten more) = thirteen
Even though the names are different, "eleven" and "twelve" still mean "ten plus one" and "ten plus two". It's just that we kept the older names for these two numbers.
It's like how some animals have unusual plural forms - we say "mouse" and "mice" instead of "mouses", just because of historical reasons.
Question: My child keeps forgetting to use hyphens when writing compound numbers like "thirty one" instead of "thirty-one". How can I help them remember?
Answer: This is a very common mistake! Here are some helpful strategies:
- Visual cues: Show them that compound numbers are "glued together" with a hyphen
- Memory trick: "Hyphens hold the tens and ones together" - like a bridge connecting them
- Practice with games: Have them read numbers aloud and clap when they say compound numbers
- Reference chart: Keep a chart visible showing correct hyphenation
You can also explain that when we say these numbers out loud, we say them as one word ("thirty-one", not "thirty one"), so the hyphen shows that on paper too.
Remember: All numbers from 21 to 99 that have both tens and ones parts need hyphens (twenty-one, thirty-five, forty-three, etc.).
Question: When I write "one hundred" and then have more numbers, do I put "and" between them? Like "one hundred and three" or "one hundred three"?
Answer: Great question! For whole numbers like 103, we usually write "one hundred three" WITHOUT "and". We only use "and" when we have decimal numbers (numbers with parts smaller than one).
- Correct: "one hundred three" (103)
- Correct: "one hundred twenty" (120)
- Correct with "and": "one hundred three AND five tenths" (103.5)
Think of it this way: "and" is like a special word that separates the whole number part from the fraction part. Since 103 is just a whole number, we don't need "and".
But don't worry too much - both ways are understood, but in math class, teachers usually prefer "one hundred three" without the "and" for whole numbers.