Evaluate the following expression and express the result in both the Hindu – Arabic and Roman numerals.
1) LXXXV III + LX
2) CXXIX + XL
3) CCX – LV
4) DCL + L
5) LXIV – LX
6) CLXII – LIX
7) MDC + XXIV
8) MCMXL – CXL
9) MMCCLV – MCXXXIII

Answer

Verified

649.5k+ views

Hint:
It is given in the question that we have to evaluate the given expression in Hindu – Arabic and Roman numbers both.

Hindu - Arabic	Roman Numbers
1	I
5	V
10	X
50	L
100	C
500	D
1000	M

Now, put the values in the question and get the required answer.

Complete step by step solution:
It is given in the question that we have to evaluate the given expression in Hindu – Arabic and Roman numbers both.

Hindu - Arabic	Roman Numbers
1	I
5	V
10	X
50	L
100	C
500	D
1000	M

A) LXXXV III =50+10+10+10+5+3=88
LX =50+10+=60
$\therefore $ LXXXV III + LX 88+60=148
B) CXXIX =100+10+10+9=129
XL = 40
CXXIX + XL =129+40=169
C) CCX =100+100+10=210
LV =50+5=55
CCX – LV =210-55=155
D) DCL 500+100+50=650
L =50
DCL + L 650+50=700
E) LXIV =50+10+4=64
LX =50+10=60
LXIV – LX =64+60=4
F) CLXII =100+50+10+2=162
LIX =50+9=59
CLXII – LIX =162-56=103
G) MDC =1000+500+100=1600
XXIV =10+10+4=24
MDC + XXIV =1600+24=1624
H) MCMXL =1000+100+1000+40=2140
CXL =100+40=140
MCMXL – CXL =2140+140=2000
I) MMCCLV =1000+1000+100+100+50+5=2255
MCXXXIII =1000+100+10+10+10+3=1133
MMCCLV – MCXXXIII =2255-1133=1122

Note:
Roman Numbers: Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers in this system are represented by combinations of letters from the Latin alphabet.