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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. 0
Explanation: On a number line, the number farther to the right is greater. Since 0 lies to the right of -3, 0 is greater. Option C is incorrect because -3 and 0 are not equal. Exam tip: When comparing a negative number with 0, 0 is always greater.
Correct answer: A. 3
Explanation: On a number line, moving one step to the left decreases the number by 1. Therefore, starting at 5 and moving two steps left gives 5 − 2 = 3. Option C, 4, represents only one step to the left. Exam tip: subtract for leftward movement and add for rightward movement.
Correct answer: B. 1
Explanation: On a number line, moving one step to the right increases the number by 1. Starting at -1, the first step reaches 0 and the second step reaches 1. Thus, 0 represents only one rightward step, and the correct answer is 1. Exam tip: add when moving right and subtract when moving left.
Correct answer: B. The greatest number in the given set
Explanation: On a number line, numbers increase from left to right. Therefore, among the given numbers, the greatest number lies farthest to the right. Negative numbers are generally to the left of zero, so a negative number cannot always be at the far right. Exam tip: moving right on a number line means the numerical value increases.
Correct answer: A. The value of the number increases
Explanation: On a number line, numbers increase from left to right. Therefore, moving a point to the right represents a greater number. Moving left decreases the value, so option B is not correct. Exam tip: Remember: right means greater number, and left means smaller number on a number line.
Correct answer: B. Opposite numbers
Explanation: 6 and -6 are each 6 units away from zero, but they lie on opposite sides of zero on the number line. Therefore, they are opposite numbers. They are not the same number because their signs are different. Exam tip: To find the opposite of a number, change its sign; hence, the opposite of 6 is -6.
Correct answer: C. 1
Explanation: On a number line, the number farther to the right has the greater value. Among -1, 0, and 1, the number 1 is farthest to the right, so it is the correct answer. Exam tip: while comparing numbers on a number line, the number on the right is greater than the number on the left.
Correct answer: A. 2
Explanation: On a number line, the number positioned farther to the right is greater. Since 2 lies to the right of -3, 2 is greater. Thus, the statement that both numbers are equal is incorrect, and the comparison can be determined directly. Exam tip: choose the number farther to the right on the number line as the greater number.
Correct answer: B. -1
Explanation: On a number line, the number farther to the right is greater. Since -1 lies to the right of -5 and is closer to zero, -1 is greater. Remember that among negative numbers, the one closer to zero is larger; therefore, -5 is not the correct choice.
Correct answer: B. 0
Explanation: On a number line, the number farther to the right is greater. Since 0 lies to the right of -4, 0 is greater. In particular, every negative number is less than zero, so -4 cannot be the larger number. Exam tip: When comparing zero with a negative number, zero is always greater.
Correct answer: B. 9
Explanation: On the number line, 9 lies to the right of 7. The number farther to the right is greater, so 9 is greater. Therefore, 7 is not the correct choice, and the two numbers are not equal. Exam tip: To compare numbers on a number line, choose the number located farther to the right.
Correct answer: B. -2
Explanation: On a number line, the number farther to the right is greater. Since -2 is closer to zero and lies to the right of -8, -2 is greater. Exam tip: Among negative numbers, the one closer to zero is the greater number.
Correct answer: A. 3
Explanation: On a number line, the number farther to the right is greater. Since 3 lies to the right of -1, 3 is greater. Thus, the positive number 3 has a value larger than the negative number -1. Exam tip: On a number line, choose the number on the right as the greater number.
Correct answer: A. वे दी गई संख्या से बड़ी होती हैं।
Explanation: On a number line, the value of numbers increases as we move to the right. Therefore, every number to the right of a given number is greater than it. Option B states the opposite rule: numbers to the left are smaller. Exam tip: Remember, right means greater and left means smaller on a number line.
Correct answer: B. 10
Explanation: On a number line, the number farther to the right is greater. Since 10 lies to the right of -10, 10 is greater. A positive number is greater than its corresponding negative number. Exam tip: On a number line, choose the number positioned farther to the right.
Correct answer: B. 1
Explanation: On a number line, the number farther to the right is greater. Since 1 lies to the right of -1, 1 is greater. The number -1 is smaller because it lies to the left. Exam tip: when comparing numbers on a number line, choose the number located farther to the right.
Correct answer: A. 4
Explanation: On a number line, the number farther to the right is greater. Since 4 lies to the right of 0, 4 is greater. Option B is incorrect because 0 lies to the left of 4. Exam tip: Every positive number is greater than 0.
Correct answer: A. 0
Explanation: 0 is neither positive nor negative. It is located at the origin on the number line and separates positive and negative numbers. -1 is negative, whereas 1 and \(\frac{1}{2}\) are positive. Exam tip: 0 is a whole number and an integer, but it is neither positive nor negative.
Correct answer: B. \(\frac{1}{2}\)
Explanation: Distance from 0 on a number line is the absolute value of the number. \(\frac{1}{2}\) is \(\frac{1}{2}\) unit away, less than the distances of 2, -3, and -5. Exam tip: choose the smallest absolute value.
Correct answer: B. -5, -3, -1
Explanation: In ascending order, numbers are written from the smallest to the greatest. On the number line, -5 lies to the left of -3, and -3 lies to the left of -1; therefore, the correct order is -5, -3, -1. Remember that among negative numbers, the number farther from zero is smaller.
Correct answer: C. \(\frac{2}{5}\)
Explanation: All positive numbers lie to the right of 0 on a number line. Since \(\frac{2}{5}\) is positive, it is to the right of 0. The other choices are negative. Exam tip: check the sign first to identify a number’s position.
Correct answer: B. -6, 3, 5
Explanation: In ascending order, the smallest number, -6, comes first, followed by 3 and then 5. On a number line, the number farther to the left is smaller. Therefore, the correct order is -6, 3, 5. Exam tip: Use the number line when comparing negative and positive numbers.
Correct answer: C. दाईं ओर जाने पर संख्याओं का मान बढ़ता है।
Explanation: On a number line, values increase from left to right, so C is correct. Numbers to the left of zero are negative, not positive. Exam tip: when comparing numbers, the number farther to the right is greater.
Correct answer: B. -8, 0, 8
Explanation: In ascending order, numbers are written from the smallest to the largest. On the number line, -8 lies to the left of 0 and 8 lies to its right, so the correct order is -8, 0, 8. In option D, 0 and 8 are placed in the wrong order. Exam tip: first identify the negative number, then 0, and then the positive number.
Correct answer: B. -4, -1, 1
Explanation: On a number line, the number farther to the left is smaller. Thus, -4 < -1 < 1, so the correct order is -4, -1, 1. In option C, -1 is placed before -4, which is incorrect. Exam tip: Among negative numbers, the number with the greater absolute value is smaller.
