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