NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice Questions
Question 3

Question.  3

Which of the following represents 6 × x

(A)

6x

(B)

x/6

(C)

6 + x

(D)

6 – x

Detailed Answer with Explanation:

Step 1: Read the expression carefully.

We need the meaning of   \(6 \times x\).

Step 2: Remember what the symbol means.

The sign   \(\times\)   means “multiply”.

Step 3: Think of multiplication as repeated addition.

\(6 \times x\) means adding \(x\) six times:

\(x + x + x + x + x + x\)

Step 4: Write it in short algebra form.

In algebra, we drop the multiplication sign and write it together as:

\(6x\)

Therefore, the correct option is A: \(6x\).


Why the other options are not correct:

  • \(\dfrac{x}{6}\) means “x divided by 6”, not multiplication.
  • \(6 + x\) means “6 plus x”, which is addition.
  • \(6 - x\) means “6 minus x”, which is subtraction.
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NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Multiple Choice Questions | Detailed Answers