NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 1: Number System - Multiple Choice Questions
Question 17

Question.  17

\((–25)\times[6+4]\) is not same as

(a)

\((–25)\times 10\)

(b)

\((–25)\times 6 + (–25)\times 4\)

(c)

\((–25)\times 6 \times 4\)

(d)

–250

Detailed Answer with Explanation:

Idea: First find the value of \((-25)\times[6+4]\). Then compare with each option.

Step 1: Add inside the bracket

(6+4=10)

Step 2: Multiply

((-25) imes 10=-250)

So the expression equals -250. Now check each option:

  1. Option (a):

    ((-25) imes 10=-250)

    This is the same.

  2. Option (b): Use the distributive property.

    ((-25) imes 6 + (-25) imes 4)

    ((-25) imes 6=-150)

    ((-25) imes 4=-100)

    (-150 + (-100) = -250)

    This is also the same.

  3. Option (c):

    ((-25) imes 6 imes 4)

    ((-25) imes 6=-150)

    (-150 imes 4=-600)

    -600 is not equal to -250. So this is not the same.

  4. Option (d):

    (-250)

    This is exactly the value we got, so it is the same.

Answer: Option c is not the same.

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