Скачать или смотреть Types of Decimal Numbers: Understanding Rational and Irrational Numbers

Timecode:
0:00 Different types of Decimal number(terminating and non-terminating decimals)
3:25 Distinguish between rational and irrational numbers on the basis of recurring and non-recurring decimals.
5:13 Find non-terminating recurring decimals in the form of p/q.
10:04 Find whether a number is terminating or non-terminating decimals without expansion
Decimal numbers are an important tool for understanding rational and irrational numbers. This video explains the different types of decimal numbers and how they relate to rational and irrational numbers.

The video starts by introducing the concept of rational numbers and explaining how they can be represented as fractions. It then shows how terminating decimals, which have a finite number of digits after the decimal point, can be converted into rational numbers. For example, 0.75 can be written as 75/100, which simplifies to 3/4.

Next, the video explains irrational numbers and how they cannot be represented as fractions. It introduces the concept of non-terminating decimals, which have an infinite number of digits after the decimal point, and shows how they can be used to represent irrational numbers. For example, pi (π) is an irrational number that can be approximated as 3.14159265359....

The video then goes on to discuss two types of non-terminating decimals: repeating decimals and non-repeating decimals. It explains how repeating decimals, which have a repeating pattern of digits after the decimal point, can be converted into rational numbers. For example, 0.333... can be written as 1/3, which is a rational number. On the other hand, non-repeating decimals, which do not have a repeating pattern, are irrational numbers.

Finally, the video provides real-world examples of how decimal numbers are used to represent rational and irrational numbers. It shows how to use decimal numbers to perform calculations involving fractions, ratios, and percentages. It also explains how irrational numbers are used in geometry, physics, and other fields, such as calculating the area of a circle or measuring the speed of light.

Overall, this video provides a clear explanation of the different types of decimal numbers and how they relate to rational and irrational numbers. It is a useful resource for students learning about these concepts and their real-world applications.




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