Home
Class 6
MATHS
Find the sum. MCD + "CCL" + DCL...

Find the sum.
`MCD + "CCL" + DCL`

Text Solution

AI Generated Solution

The correct Answer is:
To find the sum of MCD + CCL + DCL, we first need to convert each Roman numeral into its corresponding integer value. ### Step 1: Convert MCD to an integer - M = 1000 - C = 100 - D = 500 In the Roman numeral MCD: - M (1000) + C (100) + D (500) = 1000 + 100 + 500 = 1600 - However, since C is before D, it is subtracted: 500 - 100 = 400. - Therefore, MCD = 1000 + 400 = 1400. ### Step 2: Convert CCL to an integer - C = 100 - L = 50 In the Roman numeral CCL: - C (100) + C (100) + L (50) = 100 + 100 + 50 = 250. - Therefore, CCL = 250. ### Step 3: Convert DCL to an integer - D = 500 - C = 100 - L = 50 In the Roman numeral DCL: - D (500) + C (100) + L (50) = 500 + 100 + 50 = 650. - Therefore, DCL = 650. ### Step 4: Add the integer values together Now we will add the values we have calculated: - MCD = 1400 - CCL = 250 - DCL = 650 So, the sum is: 1400 + 250 + 650 = 2300. ### Step 5: Convert the sum back to Roman numerals To convert 2300 into Roman numerals: - 2000 = MM (1000 + 1000) - 300 = CCC (100 + 100 + 100) Thus, 2300 in Roman numerals is MMCCC. ### Final Answer The sum of MCD + CCL + DCL is **MMCCC**. ---
Promotional Banner

Topper's Solved these Questions

  • KNOWING OUR NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer/Numerical Value Type) |10 Videos
  • KNOWING OUR NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos
  • KNOWING OUR NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems) Short Answer Type|28 Videos
  • INTEGERS

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER |20 Videos
  • MENSURATION

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

Similar Questions

Explore conceptually related problems

Find the sum : ( + 7 ) - 5

Find the sum: -3 + ( + 5 ) = ---

Find the sum of: -52 and 52

Find the sum of -245 and 500

Find the sum of factor of 50.

Find the sum of: 137 and -354

Find the sum of factors of 24.

Find the sum of factors of 270.

Find the sum of frequencies