Class 7 Exam > Class 7 Videos > Mathematics (Maths) Class 7 (Old NCERT) > Example: Plotting Rational Numbers on a Number Line
Example: Plotting Rational Numbers on a Number Line Video Lecture | Mathematics (Maths) Class 7 (Old NCERT)
FAQs on Example: Plotting Rational Numbers on a Number Line Video Lecture - Mathematics (Maths) Class 7 (Old NCERT)
| 1. How do you plot rational numbers on a number line? |  |
Ans. To plot rational numbers on a number line, first, identify the given rational number. Then, find its corresponding point on the number line. For example, if the rational number is 1/2, locate the point between 0 and 1 and divide the segment into two equal parts. Mark the point where the division ends as the plot for 1/2.
| 2. Can negative rational numbers be plotted on a number line? | |
Ans. Yes, negative rational numbers can be plotted on a number line. Just like positive rational numbers, negative rational numbers are represented as points on the number line. For example, if the rational number is -3/4, locate the point between -1 and 0 and divide the segment into four equal parts. Mark the point where the division ends as the plot for -3/4.
| 3. How can we compare two rational numbers using a number line? | |
Ans. To compare two rational numbers using a number line, plot both numbers on the number line. The number to the right is always greater than the number to the left. By visually comparing the positions of the two rational numbers on the number line, you can determine which one is greater or lesser.
| 4. Can irrational numbers be plotted on a number line? | |
Ans. Yes, irrational numbers can be plotted on a number line. However, since irrational numbers cannot be expressed as a fraction or ratio, their exact position on the number line cannot be determined. Instead, we can approximate the position of an irrational number by using decimal representations or by understanding its relationship with nearby rational numbers.
| 5. Why is it important to plot rational numbers on a number line? | |
Ans. Plotting rational numbers on a number line helps us visualize their relative positions and understand their magnitude. It allows us to compare rational numbers, determine their order, and perform operations such as addition, subtraction, multiplication, and division more easily. Additionally, it helps in understanding and applying rational numbers in real-life situations, such as measurements, distances, and time intervals.
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