Decimal:
Decimal is a number system that consists of ten digits, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In this system, the position of each digit represents a power of 10. The digits to the right of the decimal point represent fractions of 10. For example, the number 123.45 in decimal form can be broken down as follows:
1 x 10^2 + 2 x 10^1 + 3 x 10^0 + 4 x 10^-1 + 5 x 10^-2

Writing a Decimal:
To write a decimal, first, determine the value of the place value of each digit. Then, write the digits in the appropriate place value positions. The digits to the left of the decimal point represent whole numbers, while the digits to the right of the decimal point represent fractions of 10. For example, the decimal 0.75 can be written as:
7/10 + 5/100 = 75/100 = 3/4

Converting Fractions to Decimals:
To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert the fraction 3/4 to a decimal, divide 3 by 4:
3 ÷ 4 = 0.75

Converting Decimals to Fractions:
To convert a decimal to a fraction, determine the place value of the last digit. Then, write the decimal as the numerator and the place value as the denominator. Simplify the fraction if possible. For example, to convert the decimal 0.6 to a fraction:
0.6 = 6/10
Simplifying the fraction, we get:
6/10 = 3/5

Uses of Decimals:
Decimals are used in many areas of mathematics, science, and everyday life. Some common uses of decimals include:
- Representing money, such as dollars and cents
- Measuring length, weight, and other physical quantities
- Representing probabilities and percentages
- Making precise calculations in engineering and scientific fields.