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Definition of Decimals:

The‌ ‌decimal‌ ‌numeral‌ ‌system‌ ‌is‌ ‌the‌ ‌most‌ ‌widely‌ ‌used‌ ‌method‌ ‌of‌ ‌expressing‌ ‌both‌ ‌integer‌ ‌and‌ ‌non-integer‌ ‌values.The‌ ‌Hindu–Arabic‌ ‌numeral‌ ‌system‌ ‌was‌ ‌extended‌ ‌to‌ ‌include‌ ‌non-integer‌ ‌values.Decimal‌ ‌notation‌ ‌is‌ ‌a‌ ‌term‌ ‌that‌ ‌refers‌ ‌to‌ ‌the‌ ‌way‌ ‌numbers‌ ‌are‌ ‌represented‌ ‌in‌ ‌the‌ ‌decimal‌ ‌system.‌

 

Top things to learn under Decimals from the online tutor:

 

  • What are Decimals?
  • Place Value
  • Types of Decimals

          (a) Recurring Decimals

          (b) Non-recurring Decimals
 

  • Addition with Decimals
  • Subtraction with Decimals
  • Multiplication with Decimals
  • Division with Decimals
  • Converting Decimals to Fractions
  • Converting Fractions to Decimals

 

Decimals Frequently Asked Questions:

Question 1: How to turn a fraction into a decimal?

To convert a fraction into a decimal we simply divide its numerator by its denominator.


Example:


3/5= 3÷5 =0.6

 

Question 2: How to turn a decimal into a fraction?

 

We place the decimal number above its place value to convert a decimal to a fraction.


For example, the six in 0.6 is in the tenths place, therefore we multiply 6 by 10 to get the corresponding fraction, 6/10. Simplify the fraction if necessary.

 

Question 3: How to convert decimal to binary?

To convert decimal to binary we follows the given steps:
 

  • Divide the given number by 2
  • We get the integer quotient,for the next iteration.
  • Calculate the binary digit's remainder.
  • Repeat the procedure until the quotient equals 0.

 

Question 4: How to convert decimal to binary?

 

We divide 1 by 3 to get the decimal representation of 1/3.

1 ÷ 3 = 0.3333…

It's known as a repeating decimal number since it doesn't end.Because the digit 3 following the decimal point keeps repeating, the quotient is non-terminating.

 

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