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SubjectsMathematics
संख्या रेखा
The Number Line topic in Class 9 Mathematics, within Number Systems, helps students visualise numbers as points on a continuous line. They learn to locate and compare integers, rational numbers, irrational numbers and real numbers, understand their order and relative position, and interpret distance using intervals. The topic also supports the geometric representation of irrational numbers such as √2, making the connection between numerical expressions and their positions on the real number line clear.
Correct answer: B. -9
Explanation: On a number line, the number farther to the right is greater. Since -9 lies to the right of -10 and is closer to zero, -9 is greater. A common mistake is to choose -10 because 10 is larger than 9, but among negative numbers, the number closer to zero is greater. Exam tip: For negative numbers, select the number positioned farther to the right on the number line.
Correct answer: A. 6
Explanation: On the number line, 6 lies to the right of 0, so 6 is greater. It is neither equal to nor smaller than 0. Exam tip: on a number line, the number farther to the right is greater.
Correct answer: B. 2
Explanation: On a number line, the number farther to the right is greater. Among -1, 2, and -3, 2 lies farthest to the right, so it is the greatest. The distractor -1 is greater than -3, but it is still less than the positive number 2. Exam tip: Among negative numbers, the number closer to zero is greater.
Correct answer: D. 0
Explanation: Numbers increase towards the right on a number line, so 0 is the greatest here. Remember left-right direction in exams.
Correct answer: C. 7
Explanation: The distance between two numbers on a number line is their absolute difference: \(|3-(-4)|=|7|=7\). Hence, the correct answer is 7. Subtracting a negative number means adding it, so 6 is not correct. Exam tip: a distance is always non-negative.
Correct answer: A. -5
Explanation: Among negatives, the one with greatest absolute value is smallest, so -5 is smallest. Remember ordering negatives.
Correct answer: C. -1
Explanation: On a number line, moving to the left means decreasing the number. Therefore, moving 3 units left from 2 gives 2 - 3 = -1. The number 1 would result from moving only 1 unit left. Exam tip: add when moving right and subtract when moving left.
Correct answer: B. -0.0003
Explanation: On the number line, among negative numbers the value closer to zero is greater. The decimal -0.0003 is closer to zero than -0.003. Equivalently, -0.003=-30/10000 and -0.0003=-3/10000; since -3 is greater than -30, -0.0003 is greater. They are not equal, so option B is correct.
