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Video: Locating Irrational Numbers on a Number Line Video Lecture | Mathematics (Maths) Class 9

48 videos|387 docs|65 tests

FAQs on Video: Locating Irrational Numbers on a Number Line Video Lecture - Mathematics (Maths) Class 9

1. How do you locate irrational numbers on a number line?
Ans. To locate irrational numbers on a number line, you need to understand that irrational numbers cannot be expressed as a fraction or a terminating or repeating decimal. Start by identifying a reference point on the number line, such as zero. Then, determine the approximate location of the irrational number by estimating its value. For example, if you want to locate the square root of 2 (√2), you can estimate it to be between 1 and 2. Mark this approximate location on the number line.
2. Can you give an example of an irrational number and its location on the number line?
Ans. Sure! An example of an irrational number is π (pi), which is approximately equal to 3.14159. On a number line, you can locate π between 3 and 4. However, it's important to note that π is an infinite decimal and cannot be precisely represented on a number line.
3. How do you differentiate between rational and irrational numbers on a number line?
Ans. On a number line, rational numbers can be represented as points that are evenly spaced, while irrational numbers are located in between these evenly spaced points. Rational numbers can be expressed as fractions or terminating/repeating decimals, whereas irrational numbers cannot be written in such forms.
4. Are all square roots irrational numbers?
Ans. No, not all square roots are irrational numbers. For example, the square root of 4 (√4) is equal to 2, which is a rational number. However, the square root of any non-perfect square, such as √2 or √5, will be an irrational number.
5. Can irrational numbers be located exactly on a number line?
Ans. No, irrational numbers cannot be located exactly on a number line because they are infinite decimals that do not terminate or repeat. We can only estimate their locations by marking approximate points on the number line.
48 videos|387 docs|65 tests

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