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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.
TOPIC PRACTICE
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Up to 20 questions from this page. Select your focus, then start.
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.
Which of the following statements is correct about a number line?
Correct answer: C
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.
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.
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.
What kind of numbers are located to the right of the origin on a number line?
Correct answer: A
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.
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.
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.
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.
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.
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.
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.
Which value is closer to zero on the number line: -9 or -4?
Correct answer: B
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.
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.
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.
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.
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.
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.
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.
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.
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.
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