## Year 4 Homelearning (Roman Numerals pre-learning) 20/4/18

 Year 4  Home Learning – Friday 20th April 2018

 Spellings Due to being away on residential for much of next week, there will be no spelling homework. Please use the time to aid your child in practising to put a duvet cover on their duvet!
 Maths (Pre-learning) Please have a go at the Roman Numerals task provided. As this is the only piece of homework this week, please hand it to your teacher on Tuesday.

Roman Numerals pre-learning – Friday 20th April 2018

These are  the building blocks of the Roman Numerals.
I= 1
V= 5
X= 10
L= 50
C= 100
D= 500
M= 1000

In the our system (the Arabic numeral system), there are ten different digits, (0,1,2,3,4,5,6,7,8,9) and the place of these digits in the number determines its value. For example, 2 on its own means “two”, but in 3240, the “2” now means “two hundred”. In this way, any number can be written down, using only ten digits.

The Roman numerals have a similar set of “rules”, which allow you to work out the number that is displayed:

1. If a smaller numeral follows a larger numeral, add the smaller number to the larger number
2. If a smaller numeral precedes a larger numeral, subtract the smaller number from the larger number
3. Do not use the same symbol more than three times in a row

Following these rules, you should be able to construct and decipher Roman Numerals. It should help if you break the numbers down into thousands, hundreds, tens and units.

Let us now look at some examples.

What number is “XII”?

Using rule number one above, and breaking the number down into tens and units:
X= ten
II= two
the two comes after the ten, and so we add two to ten, and get the number 12.

This time, we use rule number two: X=ten and I= one.
The one comes before the ten, and so we subtract one from ten, and get the number 9.

The same principle works for all numbers.
Can you work out how to write “1984” in Roman Numerals?
Have a go at this now, and then show …

This number written in Roman numerals has more digits than when it is written in Arabic Numerals. However, this will not always be the case. Can you think of some examples when the number of Roman Numerals is less than the number of Arabic numerals for the same number?

Once you feel confident, have a go at the following questions. These involve converting Roman numerals to Arabic numerals and vice versa.

Try converting the following Roman numerals into Arabic numerals:

1. III
2. I
3. IV
4. VI
5. X
6. XIII
7. XX
8. XVIII
9. XIX
10. MCMLXXVI
11. MMVII
12. MCMLXXXI
13. MMXXIII
14. MCMLXII

Now try converting the following Arabic numerals into Roman numerals:

15. 55
16. 86
17. 31
18. 40
19. ninety-six
20. two thousand five hundred and ninety-two
21. 1372
22. 913
23. 2107