- Books Name
- CBSE Class 7 Mathematics Book

- Publication
- Param Publication

- Course
- CBSE Class 7

- Subject
- Mathmatics

The numbers of the form p/q, where p and q are integers and q *≠*0 are called rational numbers.

**Note :**

• All natural numbers, whole numbers, integers and fractions are rational numbers.

• A fraction is a rational number, but a rational number may or may not be a fraction.

• Zero is also a rational number.

• Every natural number is a rational number but a rational number need not be a natural number.

**EQUIVALENT RATIONAL NUMBERS**

Two rational numbers are said to be equivalent if their standard forms are same.

- Books Name
- class 7 Mathematics Book

- Publication
- ReginaTagebücher

- Course
- CBSE Class 7

- Subject
- Mathmatics

**Four basic operations on Rational numbers**

**Addition of rational numbers**

add all the numerators and write the common denominator. For example, add 1/8 and 3/8. Let us understand this with the help of a number line.

- On the number line, we start from 1/8.
- We will take 3 jumps toward the right as we are adding 3/8 to it. As a result, we reach point 4/8. 1/8 + 3/8 = (1 + 3)/8 = 4/8 =1/2
- Thus, 1/8 + 3/8 = 1/2.

**Division of rational numbers**

whole number division that the dividend is divided by the divisor. Dividend÷Divisor=Dividend/Divisor. While dividing any two numbers, we have to see how many parts of the divisor are there in the dividend.

**Step 1:**Take the reciprocal of the divisor (the second rational number). 2x/9 = 9/2x**Step 2:**Multiply it to the dividend. −4x/3 × 9/2x**Step 3:**The product of these two numbers will be the solution. (−4x × 9) / (3 × 2x) = −6

**Multiplication of Rational Numbers**

To multiply any two rational numbers, we have to follow three simple steps. Let's multiply the following rational numbers: −2/3×(−4/5). The steps to find the solution are:

**Step 1:**Multiply the numerators. (−2)×(−4)=8**Step 2:**Multiply the denominators. (3)×(5)=15**Step 3:**Reduce the resulting number to its lowest term. Since it's already in its lowest term, we can leave it as is. (−23)×(−45) = (−2)×(−4)/ (3)×(5) = 8/15

**Subtraction of rational numbers**

While subtracting two rational numbers on a number line, we move toward the left. Let us understand this method using an example. Subtract 1/2x−1/3x

**Step 1:**Find the LCM of the denominators. LCM (2, 3) = 6.**Step 2:**Convert the numbers into their equivalents with 6 as the common denominator. 1/2x × 3/3 = 3/6x = 1/3x × 2/2 = 2/6x**Step 3:**Subtract the numbers you obtained in step 2.

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## Batch List

###### Medha Sharma

Course : CBSE Class 7

Start Date : 28.11.2022

End Date : 18.07.2023

Types of Batch : Classroom