FAQs on Decimal Fractions -2

Question 1

1. What are decimal fractions, and how are they represented ?

Accepted Answer

Ans.Decimal fractions are fractions where the denominator is a power of ten, which allows them to be expressed in decimal form. For example, 1/10 is represented as 0.1, 1/100 as 0.01, and so on. Decimal fractions are used in everyday calculations, especially in financial transactions.

Question 2

2. How do you convert a fraction into a decimal fraction ?

Accepted Answer

Ans.To convert a fraction into a decimal fraction, you divide the numerator by the denominator. For instance, to convert 3/4 to decimal, you divide 3 by 4, which equals 0.75. This method works for any fraction.

Question 3

3. What is the significance of decimal fractions in competitive exams like CLAT ?

Accepted Answer

Ans.Decimal fractions are significant in competitive exams like CLAT because they are often included in quantitative aptitude sections. Understanding decimal fractions helps in solving problems related to measurements, financial calculations, and data interpretation effectively.

Question 4

4. Can decimal fractions be recurring, and how do they differ from terminating decimals ?

Accepted Answer

Ans.Yes, decimal fractions can be recurring. A terminating decimal has a finite number of digits after the decimal point, such as 0.75, whereas a recurring decimal continues infinitely with a repeating pattern, such as 1/3, which is 0.333.... Recognizing the difference is crucial for precise calculations.

Question 5

5. What are some common mistakes students make with decimal fractions in exams ?

Accepted Answer

Ans.Some common mistakes include misplacing the decimal point, incorrectly converting fractions to decimals, and failing to recognize the need for rounding. Students often overlook these details in calculations, leading to errors in their answers, which can impact their overall scores in competitive exams like CLAT.

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