NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Fill in the Blanks
Question 110

Question. 110

In Roman Numeration, the symbol X can be subtracted from ____, M and C only.

Answer:

L

Detailed Answer with Explanation:

Step 1: Know the values.

\(X = 10\)

\(L = 50\)

\(C = 100\)

\(M = 1000\)

Step 2: Learn the subtraction rule.

Only \(I, X, C\) can be placed before a larger symbol to subtract.

Each one can be subtracted from only the next one or two larger symbols:

\(I\) from \(V\) or \(X\)

\(X\) from \(L\) or \(C\)

\(C\) from \(D\) or \(M\)

Step 3: Apply the rule to \(X\).

\(X\) can come before \(L\) to make \(XL = 40\)

\(X\) can come before \(C\) to make \(XC = 90\)

Step 4: What about \(M\)?

\(X\) is not placed before \(M\). “\(XM\)” is not a valid Roman numeral.

Step 5: Fill the blank.

So \(X\) can be subtracted from \(L\) and \(C\) (not from \(M\)).

The blank should be: \(L\).

Note: The phrase in the question including \(M\) is likely a typo. The standard rule is “\(X\) can be subtracted from \(L\) and \(C\) only.”

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – Fill in the Blanks | Detailed Answers