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Numbers- As the name suggests, the chapter deals with rational numbers. A detailed explanation about rational numbers is given in the chapter. Following key points and the topics are discussed in the first section of the chapter rational numbers:
Need for rational numbers
What are rational numbers?
A number that can be expressed in the form p/q, where p and q are integers and q ≠ 0, is called a rational number. All integers and fractions are rational numbers.
Examples: -2/7, 3/8, etc.
Numerator and denominator
In p/q, the integer p is the numerator, and the integer q (≠ 0) is the denominator.
Equivalent rational numbers: By multiplying the numerator and denominator of a rational number by the same non zero integer, we obtain another rational number equivalent to the given rational number.
Positive rational numbers: When the numerator and denominator both are positive
negative rational numbers: When the numerator is positive and denominator is negative.
The number 0 is neither a positive nor a negative rational number.
Subsequently, the concept of rational numbers on a number line is also explained.
After this, in the first half of the chapter, some more topics like rational numbers in standard form, comparison of rational numbers and rational numbers between two rational numbers are explained.
The standard form of rational numbers must be studied which states that a rational number is in the standard form if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.
There are an unlimited number of rational numbers between two rational numbers.
In the other half of the chapter, Operations on rational numbers are discussed. OPERATIONS discussed in the chapter are:
1. Addition
2. Additive inverse
3. Subtraction
4. Multiplication
5. Division
The chapter Rational numbers end with the summary .