In mathematics, a decimal is defined as a number in which the whole number and fractional parts are separated by a decimal point (.). The dot placed in a decimal number is termed a decimal point. The digits following the point always show a value less than one. Now consider a decimal number, 20.68 where, 20 is the whole number, and 68 is the decimal number. Decimals are always based on preceding powers of 10. The place value of digits is divided by 10 as we travel from left to right. It means the decimal value determines the tenths, hundredths, and thousands. A tenth means 1/10, and it can be written in a decimal form as 0.1. Similarly, hundredth means 1/100. In decimal form, it can be denoted as 0.01.
All the decimal-related basic concepts are deeply described in RD Sharma Solutions for Class 7 Maths Chapter 3 decimals. Students recall what they have studied in the previous years, and then there are some additional concepts like multiplication and division of decimal numbers where they understand what techniques to use for this concept. The below mentioned are some of the examples,
a. 0.1 * 0.5 = 0.05
b. 0.2 * 0.5 = 0.1
Meanwhile, division of decimals has been taught to students. It is the exact opposite of multiplication. Some examples are,
a. 5/0.1 = 5
b. 4/0.9 = 0.44
We can multiply and divide the number by either 10 or 100 based on decimal points to simplify the division process. For example, (0.5/0.1) * (10/10) = (5/1) gives the same answer but much easier this way. Apart from this, Maths Chapter 3 decimals provide exercise problems based on the concepts mentioned above, where one can work out and practice to get ready for their examination.