decimal
Decimal is a numerical system that uses the base-10 counting system, which means it relies on the digits 0-9
Decimal is a numerical system that uses the base-10 counting system, which means it relies on the digits 0-9. It is also known as the decimal system or base-10 system.
In the decimal system, each digit’s position to the left of the decimal point represents a power of 10. The first position to the right of the decimal point represents 1/10, the second position represents 1/100, the third position represents 1/1000, and so on.
For example, let’s consider the number 123.456. In this number, the digit ‘1’ is in the hundreds place, representing 1 x 100. The digit ‘2’ is in the tens place, representing 2 x 10. The digit ‘3’ is in the ones place, representing 3 x 1.
Similarly, the digit ‘4’ is in the tenths place, representing 4 x 1/10. The digit ‘5’ is in the hundredths place, representing 5 x 1/100. The digit ‘6’ is in the thousandths place, representing 6 x 1/1000.
Therefore, the number 123.456 can be expressed mathematically as:
(1 x 100) + (2 x 10) + (3 x 1) + (4 x 1/10) + (5 x 1/100) + (6 x 1/1000)
= 100 + 20 + 3 + 0.4 + 0.05 + 0.006
= 123.456
The decimal system allows us to represent both whole numbers and fractional numbers accurately and precisely. It is widely used in everyday life, including measuring, counting money, and computing mathematical operations.
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