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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: A. धनात्मक संख्याएँ
Explanation: The origin is 0 on a number line. Positive numbers lie to the right of 0, while negative numbers lie to the left. “Only whole numbers” is incorrect because fractions and decimals can also lie to the right. Exam tip: remember right = positive and left = negative.
Correct answer: B. -7, 0, 7
Explanation: In increasing order, the numbers are -7, 0, and 7. On a number line, the number farther to the left is smaller, so -7 < 0 < 7. Options A and C do not follow increasing order, while option D places 7 before 0. Exam tip: for ascending order, arrange numbers from left to right as they appear on the number line.
Correct answer: B. -2
Explanation: On a number line, values increase as we move to the right. Therefore, -2 is immediately to the right of -3 because it is one unit greater. In contrast, -4 lies to the left. Exam tip: Among negative numbers, the number closer to zero is greater.
Correct answer: B. 4
Explanation: On a number line, the values decrease as we move to the left. The number immediately to the left of 5 is 4, so option B is correct. In contrast, 6 is immediately to the right of 5. Exam tip: smaller numbers lie to the left and larger numbers lie to the right on a number line.
Correct answer: B. 1
Explanation: On a number line, positive numbers lie to the right of 0, while negative numbers lie to the left. Among the given options, 1 is to the right of 0. Exam tip: Moving right on a number line means the numerical value increases.
Correct answer: C. -1
Explanation: On a number line, negative numbers lie to the left of 0. Among the given options, -1 is the only negative number, so it is correct. The numbers 1, 2, and 3 are positive and lie to the right of 0. Exam tip: Moving left on a number line means the numerical value decreases.
Correct answer: B. -9
Explanation: On a number line, values increase as we move to the right. The number immediately to the right of -10 is -9, so option B is correct. Numbers such as -11, -12, and -13 are smaller than -10 and lie to its left. Exam tip: Among negative numbers, the number closer to zero is greater.
Correct answer: B. -4
Explanation: A number’s distance from zero is its absolute value. The distance of \\(-9\\) from zero is 9 units, while the distance of \\(-4\\) is 4 units. Since 4 < 9, \\(-4\\) is closer to zero. Exam tip: Among negative numbers, the number nearer to zero is the greater number.
Correct answer: A. 12
Explanation: On a number line, the number farther to the right is greater. Since 12 lies to the right of 7, 12 is greater. The number 7 is to the left, so it is not the correct answer. Exam tip: when comparing positive numbers on a number line, choose the one 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 -6 and is closer to zero, -1 is greater. Exam tip: among two negative numbers, the one closer to zero is the larger number, so -6 is not greater than -1.
Correct answer: B. 9
Explanation: On a number line, the number farther to the right is greater than the number to its left. Since 9 lies to the right of 0, 9 is greater. Therefore, the numbers are not equal. Exam tip: Moving right on the number line increases the value, while moving left decreases it.
Correct answer: B. -7
Explanation: On a number line, the number farther to the right is greater. Since -7 lies to the right of -10 and is closer to zero, -7 is greater. For negative numbers, the number with the smaller absolute value is greater. Exam tip: among negative numbers, choose the one closer to zero as the greater number.
Correct answer: A. 4
Explanation: On a number line, the number farther to the right is greater. Since 4 lies to the right of -8, 4 > -8. Also, every positive number is greater than every negative number. Exam tip: use the rightward position on the number line to compare signed numbers.
Correct answer: A. -3
Explanation: On the number line, -3 lies to the right of -5, so -3 is greater. Among negative numbers, the number closer to zero has the greater value; -3 is closer to zero than -5. Therefore, option B is incorrect. Exam tip: When comparing negative numbers, choose the number farther to the right on the number line.
Correct answer: A. 6
Explanation: On a number line, the number farther to the right is greater. Since 6 lies to the right of 2, 6 is greater. Option B is incorrect because 2 is to the left of 6. Exam tip: For positive numbers, values increase as we move to the right on the number line.
Correct answer: A. -1
Explanation: On a number line, the number farther to the right is greater. Since -1 is closer to zero and lies to the right of -9, -1 is greater. The number -9 is smaller because it is more negative. Exam tip: Among negative numbers, the one closer to zero is greater.
Correct answer: B. -6
Explanation: On a number line, the number farther to the right is greater.
-6 is closer to zero and lies to the right of -12, so -6 is greater. Therefore, option B is correct. Exam tip: among negative numbers, the one with the smaller absolute value is greater; hence -12 is not the correct answer.
Correct answer: B. 11
Explanation: On a number line, the number to the right is greater. Since 11 lies to the right of 5, 11 is greater. Therefore, 5 is smaller and the two numbers are not equal. Exam tip: Moving to the right on a number line means the value increases.
Correct answer: B. -3
Explanation: On a number line, the number farther to the right is greater. Since -3 lies to the right of -8 and is closer to zero, -3 is greater. Exam tip: among negative numbers, the one closer to zero has the greater value.
Correct answer: A. 2
Explanation: On a number line, the number farther to the right is greater. Since 2 lies to the right of 0, 2 is greater. Option B is incorrect because 0 is less than 2. Exam tip: Every positive number is greater than 0.
Correct answer: B. -11
Explanation: On a number line, the number farther to the right is greater. Since -11 is closer to zero and lies to the right of -15, -11 is greater. -15 is smaller because it is more negative. Exam tip: Among negative numbers, the one with the smaller absolute value is greater.
Correct answer: A. 9
Explanation: On a number line, the number farther to the right is greater. Since 9 lies to the right of -7, 9 is greater. Also, every positive number is greater than every negative number, so -7 cannot be the larger number. Exam tip: compare the positions of the numbers on the number line; the rightmost number is greater.
Correct answer: A. -2
Explanation: On a number line, the number farther to the right is greater. Since -2 lies to the right of -6 and is closer to zero, -2 is greater. Remember that among negative numbers, the one closer to zero is greater; therefore, -6 is not greater even though its magnitude is 6.
Correct answer: B. 7
Explanation: On a number line, the number farther to the right is greater. Since 7 lies to the right of 3, 7 is greater. Therefore, 3 is smaller and the two numbers are not equal. Exam tip: when comparing numbers on a number line, choose the one farther to the right.
Correct answer: B. 2
Explanation: On a number line, the number farther to the right is greater. Since 2 lies to the right of -5, we have 2 > -5, so option B is correct. A common mistake is to choose -5 because 5 is larger than 2, but the negative sign changes the comparison. Exam tip: every positive number is greater than every negative number.
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