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Find out about tens, ones, and tenths as you learn about decimals in this comprehensive article.

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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

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

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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