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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. 11
Explanation: The midpoint of two numbers on a number line is found by taking their average: \((11+11)÷2=11\). Therefore, the correct answer is 11. When both endpoints are the same, the midpoint remains that same number. Exam tip: The midpoint of any two endpoints equals their average.
Correct answer: C. 9
Explanation: On a number line, numbers to the right of 7 are greater than 7. Among the given options, 9 lies to the right of 7, so it is the correct answer. The numbers 6, 5 and 4 are all less than 7. 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. Since 2 lies to the right of -3, 2 is the greater number. A positive number such as 2 is greater than the negative number -3. In the exam, remember that numbers increase from left to right on the number line.
Correct answer: C. 5
Explanation: To find the midpoint, take the average of the two endpoints: \((0+10)\div 2=5\). Therefore, the midpoint between 0 and 10 on the number line is 5. The numbers 4 and 6 are not midpoints because they are not equally distant from both endpoints. Exam tip: Remember the midpoint formula \((a+b)\div 2\).
Correct answer: B. 8
Explanation: On a number line, the number farther to the right is greater. Since 8 lies to the right of -5, 8 is greater. A positive number such as 8 is greater than a negative number such as -5. In an exam, choose the number positioned farther to the right on the number line.
Correct answer: B. ऋणात्मक संख्याएँ
Explanation: Numbers located to the left of 0 on the number line are less than 0, so they are negative numbers. Positive numbers lie to the right of 0, while 0 itself lies at the origin. Exam tip: moving left on the number line means the value decreases.
Correct answer: B. -6
Explanation: On a number line, the number farther to the right is greater. Since -6 lies to the right of -9 and is closer to zero, -6 is the greater number. The distractor -9 is smaller because it lies farther to the left. Exam tip: Among two negative numbers, the one closer to zero is greater.
Correct answer: B. 4
Explanation: On a number line, the number farther to the right is greater. Since 4 lies to the right of -7, 4 is the greater number. Also, 4 is positive and -7 is negative, and every positive number is greater than every negative number. Exam tip: For numbers on a number line, choose the number positioned farther to the right.
Correct answer: C. 5
Explanation: On a number line, the distance between two numbers is the absolute value of their difference. Here, the distance is \(|5-0|=5\) units, so 5 is correct. Although 4 is a close distractor, there are five unit intervals from 0 to 5. In an exam, use \(|a-b|\) to find the distance between two numbers.
Correct answer: C. -3
Explanation: On the number line, -3 lies to the left of -2, so -3 is less than -2. The numbers 0, 1, and 2 all lie to the right of -2 and are greater than it. Exam tip: when comparing numbers, the number farther to the left on the number line is smaller.
Correct answer: B. To the right of zero
Explanation: 9 is a positive number. On the number line, all positive numbers are located to the right of zero, so 9 lies to the right of zero. Negative numbers lie to the left of zero. Exam tip: The values of numbers increase as we move to the right on the number line.
Correct answer: C. 5
Explanation: On a number line, numbers to the right of 3 are greater than 3. Among the given options, 5 lies to the right of 3, so it is the correct answer. Option 3 is equal to 3, not greater. Exam tip: on a number line, the number farther to the right is larger.
Correct answer: B. -4
Explanation: On a number line, the number farther to the right is greater. Since -4 lies to the right of -10, -4 is greater, so option B is correct. Among negative numbers, the number closer to zero is greater; therefore, -10 is not the correct choice. Exam tip: Compare negative numbers by checking their positions on the number line or their distance from zero.
Correct answer: B. 2
Explanation: The midpoint of two numbers a and b is \((a+b)/2\). Here, \((2+2)/2=2\), so the correct answer is 2. When both numbers are the same, their midpoint is that same number; 1 and 3 are nearby but incorrect choices. Exam tip: On a number line, the midpoint is equally distant from both endpoints.
Correct answer: B. 6
Explanation: On the number line, the number farther to the right is greater. Since 6 lies to the right of -6, 6 is greater. Thus, the positive number 6 is greater than the negative number -6. Exam tip: When positive and negative numbers have the same magnitude, the positive number is always greater.
Correct answer: B. 8
Explanation: On a number line, the number farther to the right is greater. Since 8 lies to the right of 1, 8 is the greater number. Both 0 and -1 are less than 1. Exam tip: numbers increase as we move from left to right on the number line.
Correct answer: C. -4
Explanation: All negative numbers lie to the left of 0 on a number line. Therefore, -4 lies to the left of 0. \(\frac{3}{5}\) and 7 are positive, so they lie to the right of 0, while 0 itself is the origin. Exam tip: values decrease as you move left on a number line.
Correct answer: B. Left side
Explanation: Negative numbers are located to the left of 0 on the number line, so -5 lies to the left of 0. Remember that moving left on a number line means the numerical value decreases.
Correct answer: B. 10
Explanation: On the number line, 10 lies to the right of 2. Numbers increase as we move to the right, so 10 > 2 and 10 is the correct answer. The closest distractor is 2, but it is smaller than 10. Exam tip: For two positive numbers, the number farther to the right on the number line is greater.
Correct answer: B. 0
Explanation: On a number line, the number located farther to the right is greater. Since 0 lies to the right of -8, we have 0 > -8, so option B is correct. Zero is greater than every negative number. Exam tip: remember that numbers increase as we move from left to right on the number line.
Correct answer: B. 5
Explanation: On a number line, the number located farther to the right is greater. Since 5 lies to the right of -5, 5 is the greater number. The values 0 and -1 are not the given numbers being compared. Exam tip: A positive number is greater than its corresponding negative number.
Correct answer: B. To the right of 0
Explanation: 3 is a positive number, so it lies three units to the right of 0 on the number line. Therefore, option B is correct. Option A is the direction used for negative numbers. Exam tip: positive numbers lie to the right of 0, while negative numbers lie to its left.
Correct answer: C. 12
Explanation: The distance between two numbers on a number line is their absolute difference. Therefore, \(|12-0|=12\), so 12 is the correct option. A value such as 11 would result from calculating the difference incorrectly. Exam tip: always use the absolute value of the difference, because distance cannot be negative.
Correct answer: B. 7
Explanation: On the number line, 7 lies to the right of 0, so 7 is the greater number. The two numbers are not equal, and 0 is not greater than 7; therefore, option B is correct. Exam tip: on a number line, the number farther to the right is greater.
Correct answer: B. Left
Explanation: On a number line, negative numbers are located to the left of 0. Therefore, -1 is exactly one unit to the left of 0. Exam tip: numbers increase as we move right and decrease as we move left on the number line.
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