NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 1: Number System - Multiple Choice QuestionsQuestion 3
Class 7 - Mathematics - Unit 1: Number System - Multiple Choice Questions
Question. 3
By observing the above number line (Fig. 1.2), state which of the following statements is true.
(a)
B is 2
(b)
A is –4
(c)
B is –13
(d)
B is –4
Detailed Answer with Explanation:
Why is “B is –4” true?
Step 1: On a number line, numbers to the right of zero are positive and numbers to the left of zero are negative.
\( \text{Right of } 0 \;\to\; + \text{ (positive)} \)
\( \text{Left of } 0 \;\to\; - \text{ (negative)} \)
Step 2: Each small mark (tick) shows a jump of 1 unit.
\( 0 \to -1 \to -2 \to -3 \to -4 \;\; (\text{moving left, one step each}) \)
Step 3: Start at zero and count left until you reach the tick where point B is drawn.
\( 0,\;-1,\;-2,\;-3,\;-4 \)
Step 4: Point B sits exactly at the tick for \(-4\).
\( B = -4 \)
Conclusion: The correct statement is “B is –4.” (option d)