Understanding the concept of decimals

Decimals are a way to represent fractional numbers in a simpler and more convenient way. Instead of using the fraction notation, we use a decimal notation where the number is expressed as a whole number followed by a decimal point and a series of digits.

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The decimal system relates to the Hindu-Arabic numeral system. It was first invented in India in the 5th century AD.
0 (zero) was not used in the original Indian number system, but it was introduced later on approximately 900 AD.
Decimals were used in Persia by the 10th century, but they did not become widely used until the 16th century in Europe.

The basic idea behind decimals is that each digit to the right of the decimal point represents a fractional part of a whole

• The first digit to the right of the decimal point represents tenths,
• the second digit represents hundredths,
• the third digit represents thousandths,

and so on.

From this explanation, we can understand the concept of decimals. Let’s consider a real-life example to understand it better

When reading decimals, the place value of each digit is determined by its position relative to the decimal point. For instance, in the decimal number 0.523, 5 represents five tenths, 2 represents two hundredths, and 3 represents three thousandths

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What Is 5/9 As A Decimal

https://youtube.com/watch?v=98_7mKAG8Bo

Step-by-Step Guide to Convert 5/9 to a Decimal

Converting 5/9 to a decimal is a simple process that can be done using long division.
Here are the steps involved:

Step 1: Set up the long division problem.
Place 5 as the dividend and 9 as the divisor and perform the division as shown below:

9 | 5.000
-45

   50
  -45
  ----
   50
  -45
  ----
    5

Step 2: Divide the first digit of the dividend (5) by the divisor (9).
This gives you 0 as the quotient and 5 as the remainder So, place 0 above the dividend and write the 5 as the remainder.

Step 3: Bring down the 0 from the dividend to the remainder. This gives you 50 as the new dividend that you can divide by 9.

Step 4: Divide 50 by 9.
This gives you 5 as the quotient and 5 as the remainder. So, write the 5 above the dividend and bring down the remainder of 5.

Step 5: Repeat steps 3 and 4 until the remainder is 0.
This step involves bringing down the 0, dividing the new dividend by 9, writing the quotient above the dividend and bringing down the remainders until the remainders become 0.

Remarks:
After placing 6 digits after the decimal point, we get 0 remainder,

Hence, 5/9 as a decimal is 0.55555… (recurring decimal)