RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4 PDF

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4: RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4 (Decimals) is an essential resource for mastering decimal operations like addition, subtraction, multiplication, and division.

These solutions are aligned with the latest CBSE Class 6 Maths syllabus and exam patterns, helping students to prepare effectively for upcoming exams. 

 By practicing the problems from this exercise, students can gain a deeper understanding of decimals, which frequently appear in previous year papers.

The step-by-step solutions and detailed explanations make it easier to tackle complex decimal problems, ensuring better performance in exams. Consistent practice from this exercise will build a solid foundation for mathematical proficiency.

RD Sharma Solutions Class 6 Maths Chapter 7 Exercise 7.4 Introduction

RD Sharma Solutions for  Class 6 Maths Chapter 7 Exercise 7.4 (Decimals) cover various essential concepts related to operations on decimals. Here are the detailed pointers of what is covered in this exercise:

1. Addition of Decimals:

• How to add decimal numbers by aligning the decimal points.

• Explanation on how to convert decimals into like denominators if needed.

• Step-by-step guide on carrying over digits during addition of decimals.

2. Subtraction of Decimals:

• How to subtract decimals by properly aligning decimal points.

• The process of borrowing in decimal subtraction.

• Simplified examples to ensure the student understands the concept thoroughly.

3. Multiplication of Decimals:

• Explanation on how to multiply decimals.

• How to adjust the decimal point based on the number of digits after the decimal.

• Clear steps on how to handle multiplication with decimal places, ensuring the final product has the correct decimal placement.

4. Division of Decimals:

• Division of decimals by whole numbers and other decimal numbers.

• Methods to remove the decimal point by multiplying both the divisor and dividend by a power of 10.

• Explanation of how to place the decimal point in the quotient.

5. Application of Decimal Operations:

• Word problems that require performing multiple operations with decimals (addition, subtraction, multiplication, division).

• Emphasis on real-life applications, helping students understand how decimals are used in practical situations like money and measurement.

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4 Decimals

Below are the RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4 (Decimals). These solutions provide detailed step-by-step explanations for various decimal operations such as addition, subtraction, multiplication, and division.

Practicing these problems will help students strengthen their understanding of decimals and enhance their problem-solving skills, aligning with the exam syllabus and patterns. 

1. Express the following fractions as decimals:

(i) 23/10

(ii) 139/100

(iii) 4375/1000

(iv) 12 1/2

(v) 75 1/4

(vi) 25 1/8

(vii) 18 3/24

(viii) 39 7/35

(ix) 15 1/25

(x) 111/250

Solution:

(i) 23/10

It can be written as

= 20 + 3/10

We get

= 20/10 + 3/10

By addition

= 2 + 3/10

So we get

= 2.3

(ii) 139/100

It can be written as

= 100 + 30 + 9/100

We get

= 100/100 + 30/100 + 9/100

By addition

= 1 + 3/10 + 9/100

So we get

= 1.39

(iii) 4375/1000

It can be written as

= 4000 + 300 + 70 + 5/1000

We get

= 4000/1000 + 300/1000 + 70/1000 + 5/1000

By addition

= 4 + 3/10 + 7/100 + 5/1000

So we get

= 4.375

(iv) 12 1/2

It can be written as

= 12 + 1/2

Multiplying and dividing by 5 to get denominator as 10

= 12 + [(1/2) × (5/5)]

On further calculation

= 12 + 5/10

So we get

= 12.5

(v) 75 1/4

It can be written as

= 75 + 1/4

Multiplying and dividing by 25 to get 100 as denominator

= 75 + [(1/4) × (25/25)]

On further calculation

= 75 + 25/100

By addition

= 75.25

(vi) 25 1/8

It can be written as

= 25 + 1/8

Multiplying and dividing by 125 to get 1000 as denominator

= 25 + [(1/8) × (125/125)]

On further calculation

= 25 + 125/1000

By addition

= 25.125

(vii) 18 3/24

It can be written as

= 18 + 3/24

We get

= 18 + 1/8

Multiplying and dividing by 125 to get 1000 as denominator

= 18 + [(1/8) × (125/125)]

On further calculation

= 18 + 125/1000

By addition

= 18.125

(viii) 39 7/35

It can be written as

= 39 + 7/35

We get

= 39 + 1/5

Multiplying and dividing by 2 to get 10 as denominator

= 39 + [(1/5) × (2/2)]

On further calculation

= 39 + 2/10

By addition

= 39.2

(ix) 15 1/25

It can be written as

= 15 + 1/25

Multiplying and dividing by 4 to get 100 as denominator

= 15 + [(1/25) × (4/4)]

On further calculation

= 15 + 4/100

By addition

= 15.04

(x) 111/250

It can be written as

= 111 × [(1/250) × (4/4)]

On further calculation

= 444/1000

By division

= 0.444

2. Express the following decimals as fractions in the lowest form:

(i) 0.5

(ii) 2.5

(iii) 0.60

(iv) 0.18

(v) 5.25

(vi) 7.125

(vii) 15.004

(viii) 20.375

(ix) 600.75

(x) 59.48

Solution:

(i) 0.5

It can be written as

= 5/10

By division

= 1/2

(ii) 2.5

It can be written as

= 25/10

By division

= 5/2

(iii) 0.60

It can be written as

= 60/100

By division

= 3/5

(iv) 0.18

It can be written as

= 18/100

By division

= 9/50

(v) 5.25

It can be written as

= 525/100

By division

= 21/4

(vi) 7.125

It can be written as

= 7125/1000

By division

= 57/8

(vii) 15.004

It can be written as

= 15004/1000

By division

= 3751/250

(viii) 20.375

It can be written as

= 20375/1000

By division

= 163/8

(ix) 600.75

It can be written as

= 60075/100

By division

= 2403/4

(x) 59.48

It can be written as

= 5948/100

By division

= 1487/25

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4 PDF Download

Below is the PDF for RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4. This exercise covers various important concepts in geometry, helping students understand angles, lines, and the properties of different shapes. 

The solutions are presented clearly and detailed, with step-by-step explanations to guide students through the problems. Download the PDF to access comprehensive solutions and enhance your understanding of the concepts in this chapter.

Benefits of Using RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4

Using RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.4 (Decimals) offers several benefits:

1. Clear Understanding: The step-by-step solutions provide clear explanations, making complex decimal concepts easier to understand.

2. Concept Reinforcement: Regular practice of exercises helps reinforce decimal concepts like addition, subtraction, multiplication, and division of decimals.

3. Time Management: The solutions help students learn how to solve problems efficiently, saving time during exams.

4. Error-Free Learning: The solutions offer accurate methods, ensuring students learn the correct approach to solving decimal-related problems.

5. Confidence Building: By solving a variety of problems, students gain confidence in handling decimals and are better prepared for exams.