Our Roman Numerals Operations Worksheet will help you in practicing and making you efficient in this topic. So our questions are based on roman numerations and their operations. In this Roman Numerals Operations Worksheet, we will solve problems on adding roman numerals, subtracting roman numerals, multiplying roman numerals, and dividing roman numerals. Become a pro by practicing mathematical operations on Roman numerals using our worksheet for free.
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1. Solve the following and Add the Roman Numerals
(i) XXVIII + LV
(ii) CV + CLXV
(iii) CLXXXIX + MCXXIV
(iv) XXXVII + XLIV
Solution:
For adding any two Roman numerical we to covert given numbers Roman numerals into Hindi-Arabic numbers.
(i) XXVIII + LV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral XXVIII = 2(X) + V + 3(I)
As we know what our above numerals stands for let’s substitute them with respective integers = 2(10) + 5 + 3(1)
Add all those integers = 28
Now So the same LV = L + V
= 50 + 5
= 55
Now that we have values of XXVIII and LV, we can solve them by adding the obtained values.
So, XXVII + LV = 28 + 55
= 83.
(ii) CV + CLXV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CV = C + V
As we know what our above numerals stands for let’s substitute them with respective integers = 100 + 5
Add all those integers = 105
Now do the same as above CLXV = C +L +X + V
= 100 + 50 + 10 + 5
= 165
Now that we have values of CV and CLXV, we can solve them by adding the obtained values.
So, CV + CLXV = 105 + 165
= 270.
(iii)CLXXXIX + MCXXIV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CLXXXIX = C + L + 3(X) + IX
As we know what our above numerals stands for let’s substitute them with respective integers= 100 + 50 + 3(10) + (10-9)
Add all those integers = 189
Now do same as above MCXXIV = M + C + 2(X) + IV
= 1000 + 100 + 2(10) + (5-1)
= 1124.
Now that we have values of CLXXXIX and MCXXIV, we can solve them by adding the obtained values.
So, CLXXXIX + MCXXIV = 189 + 1124
= 1313.
(iv) XXXVII + XLIV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral XXXVII = 3(X) + V + 2(I)
As we know what our above numerals stands for let’s substitute them with respective integers= 3(10) + 5 + 2(1)
Add all those integers = 37
Now do the same as above XLIV = XL + IV +
= (50 – 10) + (5 – 1)
= 44.
Now that we have values of CLXXXIX and MCXXIV, we can solve them by adding the obtained values.
So, XXXVII + XLIV = 37 + 44
= 81.
2. Solve given equations by subtracting roman numerals.
(i) CXCII – LXXIX
(ii) MMMCCXI – CCVIII
(iii) XXVIII – XXIV
(iv) CC – VV
Solution:
For subtracting any two Roman numerical we to covert given numbers Roman numerals into Hindu-Arabic numbers.
(i) CXCII – LXXIX
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral LXXIX = L + 2(X) + (X – 1)
As we know what our above numerals stands for let’s substitute them with respective integers =(50)+2(10)+(10-1)
Now let’s add integers = 79
Now do the same as above CXCII = C + XC +2(1)
= 100 + (100 – 10) + 2(1)
= 192
Now that we have values of LXXIX and CXCII, we can solve the equation by subtracting the obtained values.
So, CXCII – LXXIX = 192 – 79
= 270.
(ii) MMMCCXI – CCVIII
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral MMMCCXI = 3(M) + 2(C) + X + I
As we know what our above numerals stands for let’s substitute them with respective integers= 3(1000) + 2(100) + 10 + 1
Now let’s add integers = 3211
Now do the same as above CCVIII = 2(C) + V +3(1)
= 2(100) + 5 + 3(1)
= 208
Now that we have values of MMMCCXI and CCVIII, we can solve our equation by subtracting the obtained values.
So, MMMCCXI – CCVIII = 3211 – 208
= 3003.
(iii) XXVIII – XXIV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral XXVIII = 2(X) + V + 3(I)
As we know what our above numerals stand for let’s substitute them with respective integers = 2(10) + 5 + 3(1)
Now let’s add integers = 28
Now do the same as above XXIV = 2(X) + IV
= 2(10) + (5 – 1)
= 24
Now that we have values of XXVIII and XXIV, we can solve the equation by subtracting the obtained values.
So, XXVIII – XXIV = 28 – 24
= 4.
(iv) CC –VV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CC = 2(C)
As we know what our above numerals stand for let’s substitute them with respective integers = 2(100)
Now let’s add integers = 200
Now do the same as above VV = 2(V)
= 2(5)
= 10
Now that we have values of CC and VV, we can solve by subtracting the obtained values.
So, CC – VV = 200 – 10
= 190.
3. Solve given equations by multiplying roman numerals.
(i) CC * CV
(ii) CLX * CLV
(iii) MCV * LX
(iv) LXI * CXIII
Solution:
For multiplying any two Roman numerical we need to convert the given numbers Roman numerals into Hindu-Arabic numbers.
(i) CC * CV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CC = 2(C)
As we know what our above numerals stands for let’s substitute them with respective integers = 2(100)
Solve the equation = 200
Now do the same as above CV = C + V
= 100 + 5
= 105
Now that we have values of CC and VV, we can our equation solve by multiplying the obtained values.
So, CC * CV = 200 * 105
= 21000.
(ii) CLX * CLV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CLX = C + L + X
As we know what our above numerals stands for let’s substitute them with respective integers = 100 + 50 + 10
Solve the above equation = 160
Now do the same as above CLV = C + L + V
= 100 + 50 + 5
= 155
Now that we have values of CLX and CLV, we can solve our equation by multiplying the obtained values.
So, CLX * CLV = 160 * 155
= 24800.
(iii) MCV * LX
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral MCV = M + C + V
As we know what our above numerals stands for let’s substitute them with respective integers = 1000 + 100 + 10
Solve the above equation = 1110
Now do same as above LX = L + X
= 50 + 1
= 51
Now that we have values of MCV and LX, we can solve our equation by multiplying the obtained values.
So, MCV * LX = 1110 * 51
= 56610.
(iv) LXI * CXIII
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral LXI = L + X + I
As we know what our above numerals stands for let’s substitute them with respective integers = 50 + 10 + 1
Now solve the above equation = 61
Now do same as above CXIII = C + X + 3(1)
= 100 + 10 + 3(1)
= 53
Now that we have values of LXI and CXIII, we can solve our equation by multiplying the obtained values.
So, LXI * CXIII = 61 * 53
= 3233.
4. Solve given equations by dividing roman numerals.
(i) CCL / XXV
(ii) MMM / L
(iii) CXXV / XXV
(iv) MCXI / XI
Solution:
For dividing any two Roman numerical we have to covert the given numbers Roman numerals into Hindi-Arabic numbers.
(i) CCL / XXV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CCL= 2(C) + L.
As we know what our above numerals stand for let’s substitute them with respective integers = 2(100) + 50.
Now solve the above equation = 250.
Now do same as above XXV= 2(X) + V.
= 2(10) + 5
= 25
Now that we have values of CCL and XXV, we can solve our equation by dividing the obtained values.
So, CCL / XXV = 250 / 25
= 10.
(ii) MMM / L
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral MMM= 3(M).
As we know what our above numerals stand for let’s substitute them with respective integers = 3(1000).
Now solve the above equation = 3000.
Now do the same as above L= 50.
Now that we have values of MMM and L, we can solve our equation by dividing the obtained values.
So, MMM / L= 3000 / 50.
= 60
(iii) CXXV / XXV
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral CXXV = C + 2(X) + V.
As we know what our above numerals stand for let’s substitute them with respective integers = 100 + 2(10) + 5.
Now solve the above equation = 125.
Now do same as above XXV= 2(X) + V.
= 2(10) + 5
= 25
Now that we have values of CXXV and XXV, we can solve our equation by dividing the obtained values.
So, CXXV / XXV = 125 / 25
= 5
(iv) MCXI / XI
Let’s solve the equation by initially converting it into Hindu-Arabic numbers.
To do so let’s split our numeral MCXI = M+ C + X + I.
As we know what our above numerals stand for let’s substitute them with respective integers = 1000 +100 + 10 + 1.
Now solve the above equation = 1111.
Now do same as above XI = 11
Now that we have values of MCXI and XI, we can solve our equation by dividing the obtained values.
So, MCXI / XI = 1111 / 11
= 101.