RS Aggarwal Solutions Class 6 Chapter-7 Decimals (Ex 7D) Exercise 7.4

RS Aggarwal Solutions

RS Aggarwal Solutions Class 6 Chapter-7 Decimals (Ex 7D) Exercise 7.4

RS Aggarwal Solutions Class 6 Chapter-7 Decimals (Ex 7D) Exercise 7.4 - Free PDF

Free PDF download of RS Aggarwal Solutions Class 6 Chapter-7 Decimals (Ex 7D) Exercise 7.4 solved by Expert Mathematics Teachers on Vedantu.com. All Exercise 7.4 Questions with Solutions for Class 6 RS Aggarwal to help you to revise complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering Entrance Exams.

RS Aggarwal Class 6 Chapter 7 explains about Decimal Numbers. To define Decimal Numbers in simple terms- They are the Numbers used to represent Numbers lesser than one. The Decimal point or to call it period plays a very vital role in Decimal Numbers as it separates the fraction from the whole Number. Decimal Number is divided into two parts. Left side of the Decimal point is one part and to the right side of the Decimal point is another part. The part to the left side of the Decimal point is called the whole Number and the part to the right side of the Decimal point is called the Decimal part.

For Example, in the Decimal Number 42.6, the whole Number part is 42 and the Decimal part is 6.

Types of Decimal Numbers

Decimal Numbers can be of different kinds, namely

- Recurring Decimal Numbers

These are the Repeating or Non-Terminating Decimal Numbers.

Example:

3.125125 (Finite)

3.121212121212….. (Infinite)

- Non Recurring Decimal Numbers

They are the Non Repeating or Terminating Decimal Numbers.

Example:

3.2376 (Finite)

3.137654….(Infinite)

- Decimal Fraction

It denotes the fraction whose denominator is in powers of ten.

For Example:

88.42 = 8842/100

53.651= 53651/1000

Arithmetic Operations on Decimal Numbers

Arithmetic operations like addition, subtraction, multiplication, and division operation can be performed on Decimal Numbers. Let us now focus on the important points while doing arithmetic operations.

Addition/ Sum

While adding the Decimal Numbers, line up the Decimal points of the given Numbers and find the sum of the Numbers. If a Decimal point is not present (i.e., whole Numbers), the Decimal is behind the Number.

Subtraction/ Minus

Similar to the addition of Decimal Numbers, line up the Decimal point of the given Numbers, and minus the values. To perform the arithmetic operation, make use of place holding zeros as the reference.

Multiplication

Multiply the given Numbers just like any other integers in such a way as if the Decimal point is not present. After getting the product, count up how many Numbers are present after the Decimal point in both the Numbers, this count 2ill represents how many Numbers are needed following the Decimal point in the product value.

Division/ Divide

To just divide the Decimal Numbers, move the Decimal point in the Numbers such that the Number becomes the whole Number. Now, do the division operation like the integer division.

FAQs on RS Aggarwal Solutions Class 6 Chapter-7 Decimals (Ex 7D) Exercise 7.4

1. Mention the different types of Decimal Numbers.

The Decimal Numbers are used when the question needs more precision than the whole value. Students will learn about the different types of Decimals in Class 6 Chapter 7. They will also study different concepts based on Decimals in this Chapter. For Example, while dealing with money, length, depth, and so on.

There are two types of Decimal Numbers-

Terminating Decimals or also known as Non-recurring Decimals
Non-terminating Decimals or also known as Recurring Decimals

2. Will the RS Aggarwal Solutions for Class 6 Math Chapter 7 help students to understand the concepts which are important from the Exam perspective?

To understand the procedure better, students can refer to the Examples which are present in their textbook first before solving the Exercise wise problems. Each problem in the solutions are solved step by step in a detailed manner to help students understand the concepts in a much better manner. By using the solutions PDF, students will be very well prepared with the method of solving these equations quickly and score good marks in the Exam.

3. Explain Step by Step process of multiplication and division of Decimal Numbers.

To understand the method of multiplication of Decimal Numbers please follow the steps given below-

1. Let the Decimal points be and just multiply the Numbers.

2. Count the Number of Decimal places in Number and add them.

3. Start from the right of the product and count the Number of places equal to the total Number of places in Step. 2 and place the Decimal point.

Given below as mentioned are the steps to divide Decimal Numbers by Natural Numbers.

Divide the given Decimal Number by the given natural Number in the normal way of division.
Place the Decimal point in the quotient right after you complete the division of the whole Number part of the dividend.