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- Representing Numbers

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Get Started Now- Intro Lesson: a4:12
- Intro Lesson: b3:34
- Intro Lesson: c5:26
- Intro Lesson: d6:51
- Lesson: 1a3:15
- Lesson: 1b3:41
- Lesson: 1c3:34
- Lesson: 24:45
- Lesson: 3a3:07
- Lesson: 3b2:33
- Lesson: 3c3:36
- Lesson: 3d3:16
- Lesson: 3e4:07
- Lesson: 3f3:18
- Lesson: 4a1:57
- Lesson: 4b2:07
- Lesson: 4c2:30
- Lesson: 4d2:06
- Lesson: 4e2:56
- Lesson: 4f4:10
- Lesson: 5a4:06
- Lesson: 5b3:52
- Lesson: 5c3:17
- Lesson: 5d6:05

In this lesson, we will learn:

- How to read and write Roman Numerals using addition and subtraction

- The numbers we see in math are called “
**Western Arabic” numerals**(using the digits 0 to 9) - The ancient Romans used a different set of numerals—
**Roman Numerals** - There is
Roman Numeral for zero**NO** - We still see and use Roman Numerals (i.e. naming chemical compounds, royal names, on some clocks and buildings, in laws and contracts)
- Roman Numerals use
__7 alphabetic letters__as symbols to represent thousands of numbers:

- You can use the mnemonic to help you memorize:
y’s**IV****XL**-ro**CD**s**M** - Roman Numerals
__only__represent the digits 1 and 5 (in different place values)

- You read Roman Numerals from
__left to right__and calculate the value by**addition**or**subtraction**. - Use
**addition**if your values are decreasing OR repeating (big to small) - ex. XXVIII = 10 + 10 + 5 + 1 + 1 + 1 = 28
- REPEATING
__only__happens for symbols that represent a “1” digit (only I, X, C, and M are repeated) - Symbols can only repeat
__3 times maximum__(only one exception: 4000 = MMMM) - Use
**subtraction**if your values are increasing (small to big) - ex. IV = 1 then 5 is increasing; subtract = (5 – 1) = 4
- ex. IX = 1 then 10 is increasing; subtract = (10 – 1) = 9
- Note that Roman Numerals
__only__use subtraction when there is a digit of 4 or 9 - Notice that:

- For 1,2,3 digits: use the same power of ten symbol and repeat them
- For 4 and 9 digits: use subtraction to calculate the value
- For 5 digits: introduces a new symbol
- For 6,7,8 digits: use the power of 5 symbol, then write the power of ten symbol and repeat (just like for 1,2,3 digits)

- IntroductionIntroduction to Roman Numerals:a)What are Roman Numerals and what symbols are used to write them?b)How do you add the values of Roman Numerals?c)How do you subtract that values of Roman Numerals?d)Review of Roman Numerals and understanding patterns
- 1.
**Roman Numeral Basics - Practice Writing**

Write the roman numerals for:a)For the ones place value (from 1 to 10)b)For the tens place value (from 10 to 100; skip counting by 10)c)For the hundreds place value (from 100 to 1000; skip counting by 100) - 2.
**Roman Numeral Problem Solving Riddle**

What is the longest roman numeral (the most letters)? Out of all the numbers between 1-1000? - 3.
**Converting Roman Numerals into Standard Form Numbers**

Write each Roman numeral as a number in standard form. Show all your work for the addition/subtraction of the values.a)XXXIXb)XLVIc)DLXXXVIId)CCXIXe)MCDLXIIIf)MMMDCCLII - 4.
**Converting Numbers into Roman Numerals**

Write each number as a Roman numeral. Show all your work for representing the addition/subtraction of the values.a)23b)98c)461d)750e)1239f)4758 - 5.
**Using Roman Numerals to Solve Trivia Questions**

Solve for the Roman numerals' value to find out the answer to the history fact!a)In what year did the first two humans, Neil Armstrong and Buzz Aldrin, land on the moon? In the year:**MCMLXIX**b)When was the first car invented? In the year:**MDCCCLXXXVI**c)When was the first airplane invented? In the year:**MCMIII**d)When was the first modern computer invented and created? Between the years**MCMXXXVI**and**MCMXLVIII**