Answer: Here's my answer, I made it detailed for you to understand :)
Explanation:
The term "decimal" refers to a numerical system or representation that is based on the number 10. In this system, numbers are expressed using digits from 0 to 9, and the position of each digit determines its value in relation to powers of 10.
Here is a step-by-step explanation of the meaning of decimal:
1. Base 10 system: Decimal is derived from the Latin word "decimus," meaning tenth. It is a positional numeral system based on powers of 10. Each digit in a decimal number represents a different power of 10.
2. Place value: In a decimal number, each digit has a specific place value determined by its position. The rightmost digit represents ones, the next digit represents tens, the next hundreds, and so on. The value of each digit is obtained by multiplying it with the corresponding power of 10.
3. Decimal point: The decimal point is used to separate the whole number part from the fractional part in a decimal number. It indicates the position where the value transitions from whole numbers to fractions.
4. Examples: Let's take the number 123.45 as an example. In this decimal number, the digit 1 represents 100, the digit 2 represents 20, and the digit 3 represents 3. The digit 4 after the decimal point represents 4 tenths, and the digit 5 represents 5 hundredths. So, the complete value of 123.45 is 100 + 20 + 3 + 0.4 + 0.05 = 123.45.
In conclusion, the term "decimal" refers to a numerical system based on powers of 10, where digits represent different place values. The decimal point separates the whole number part from the fractional part. Understanding decimals is important in various aspects of mathematics, including arithmetic operations, measurement, and representing real-world quantities.