NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Fill in the Blanks
Question 124

Question. 124

2395 × ____ = 6195 × 2395

Answer:

6195

Detailed Answer with Explanation:

Goal: Find the number that should go in the blank so both sides are equal.

Step 1: Write the equation with a box for the missing number.

\(2395 \times \square = 6195 \times 2395\)

Step 2: Notice that both sides have the same factor \(2395\).

Left side has: \(2395 \times \square\)

Right side has: \(6195 \times 2395\)

Step 3: Because \(2395 \neq 0\), we can divide both sides by \(2395\).

\(\dfrac{2395 \times \square}{2395} = \dfrac{6195 \times 2395}{2395}\)

Step 4: Cancel \(2395\) on both sides.

\(\square = 6195\)

Conclusion: The missing number is \(6195\).

Quick check: Put \(6195\) back into the blank.

\(2395 \times 6195 = 6195 \times 2395\)

Both sides are the same (order of multiplication doesn’t change the result), so our answer is correct.

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