Decimal fractions are a fundamental aspect of mathematics, representing numbers that are less than one but more than zero. They are expressed with a decimal point, where the denominator is typically a power of 10.
Let's explore decimal fractions in detail.
Decimal fractions are numbers that include a decimal point to indicate values smaller than a whole unit. For example, numbers like 0.1 (one tenth), 0.25 (twentyfive hundredths), 0.008 (eight thousandths), and 0.333 (three hundred thirtythree thousandths) are all decimal fractions. The digits to the right of the decimal point represent parts of a whole, such as tenths, hundredths, thousandths, and so forth.
Decimal Fractions:
Decimal fractions are numbers less than one that are expressed using a decimal point. They are fractions where the denominator is a power of 10. Here are some examples:
Conversion of Decimal to Vulgar Fraction:
To convert a decimal into a vulgar fraction:
Addition and Subtraction: Align decimals and perform as usual.
Multiplication: Multiply without the decimal point, then place the decimal in the product according to the total decimal places.
Division: Divide as normal and place the decimal in the quotient corresponding to the decimal places in the dividend.
Comparison: Convert to decimal form to compare values.
Recurring Decimals:
Pure and Mixed Recurring Decimals:
Pure Recurring Decimal: All figures after the decimal point repeat.
Mixed Recurring Decimal: Some figures repeat while others don't.
Decimal fractions are essential in mathematics for precise representation of values less than one. They're used in everyday calculations, finance, science, and more. Understanding their conversion, operations, and recurring nature is crucial for mastering mathematical concepts and applications.
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Test: Fractions & Decimals Test  20 ques 
Test: Decimal Test  20 ques 
Important Questions Test: Decimals Test  20 ques 
1. What are decimal fractions? 
2. How do you convert a decimal fraction to a common fraction? 
3. What are some important formulas related to decimal fractions? 
4. How do you compare decimal fractions? 
5. How do you round decimal fractions to a certain place value? 
Test: Fractions & Decimals Test  20 ques 
Test: Decimal Test  20 ques 
Important Questions Test: Decimals Test  20 ques 

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