What is Decimal number system ? Its Examples | Quicky Tech

 DECIMAL NUMBER SYSTEM

Decimal number system is a base 10 Number system having 10 digits from 0 to 9. This means that any numerical quantity can be represented using these 10 digits. Decimal number system is also a positional value system. This means that the value of digits will depend on its position.

Decimal number system is a base 10 number system having 10 digits from 0 to 9. This means that any numerical quantity can be represented using these 10 digits. Decimal number system is also a positional value system. This means that the value of digits will depend on its position. 

Let us take an example to understand this:

Say we have three numbers – 734, 971 and 207. The value of 7 in all three numbers is different−

• In 734, value of 7 is 7 hundreds or 700 or 7 × 100 or 7 × 102

• In 971, value of 7 is 7 tens or 70 or 7 × 10 or 7 × 101

• In 207, value 0f 7 is 7 units or 7 or 7 × 1 or 7 × 100

The weightage of each position can be represented as follows −

In digital systems, instructions are given through electric signals; variation is done by varying the voltage of the signal. Having 10 different voltages to implement decimal number system in digital equipment is difficult. So, many number systems that are easier to implement digitally have been developed. 

In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It also requires a dot (decimal point) to represent decimal fractions. In this scheme, the numerals used in denoting a number take different place values depending upon position. In a base-10 system the number 543.21 represents the sum (5 × 10²) + (4 × 10¹) + (3 × 10⁰) + (2 × 10⁻¹) + (1 × 10⁻²).

Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system, to write further numbers.

• Write numbers 0-9.

• Once you reach 9, make the rightmost digit 0 and add 1 to the left which becomes 10.

• Then on the right digit, we write until 9 and when we reach 19 we use 0 on the rightmost digit and add 1 to the left, so we get 20.

• Similarly, when we reach 99, we use O s in both of these digits' places and add 1 to the left which gives us 100.

How to Read Decimal Numbers?

In single digits from 0 to 9 the numbers are read as it is. But in the case of two digits, the right digit says what it means, but the left digit means ten times what it says. That is in number 24, 4 is 4, 2 is 20. Altogether forms 24.

If we take a three digit number, rightmost digit means what it says, the middle one is ten times the digit, leftmost digit 100 times the digit. 

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