Converting Repeating Decimals to Fractions

In this video, Anil Kumar explains how to convert repeating decimals into rational numbers. He demonstrates the process using two examples: 2.16 recurring and 1.25 recurring. The method involves multiplying the decimal by powers of 10 to eliminate the repeating part, then solving for the variable to express the decimal as a fraction. The video concludes with a practice question for viewers to try on their own.

What is the main goal of the video series presented by Anil Kumar?

• To learn how to add decimals

• To understand how to write repeating decimals as rational numbers

• To explore the history of decimals

• To practice multiplication of decimals

In the example of 2.16 repeating, what does the bar over the number 6 indicate?

• That 6 is an integer

• That 6 is a repeating decimal

• That 6 is a fraction

• That 6 is a whole number

What is the first step in converting 2.16 repeating into a rational number?

• Multiply by 10

• Multiply by 100

• Subtract 1

• Add 1

After multiplying 2.16 repeating by 100, what is the resulting number?

• 2160.6 repeating

• 216.6 repeating

• 21.6 repeating

• 2.16 repeating

What is the purpose of multiplying the repeating decimal by 10 or 100?

• To simplify the decimal

• To convert it into a fraction

• To eliminate the repeating part

• To make the number larger

What happens to the decimal part when you subtract 10x from 100x in the conversion process?

• It doubles

• It cancels out

• It remains the same

• It becomes larger

What is the simplified form of the fraction obtained from 2.16 repeating?

• 13/9

• 5/9

• 13/6

• 5/6

Why is it necessary to simplify the fraction obtained from the repeating decimal?

• To make it easier to understand

• To make it a repeating decimal

• To make it a whole number

• To make it a decimal

What is the new example introduced after 2.16 repeating?

• 3.14 repeating

• 1.25 repeating

• 4.56 repeating

• 7.89 repeating

What is the first step in converting 1.25 repeating into a rational number?

• Multiply by 100

• Multiply by 10

• Add 1

• Subtract 1