RD Sharma Solutions for Class 6 Maths Chapter 7 Decimals: Decimals form a fundamental concept in mathematics that bridges the gap between whole numbers and fractions. In Class 6 Mathematics, Chapter 7 of RD Sharma focuses on helping students build a strong understanding of decimal numbers, their representation, and operations. This chapter lays the groundwork for more advanced mathematical concepts that students will encounter in higher classes.
The decimal system, which uses place values based on powers of ten, allows us to represent numbers with precision that whole numbers alone cannot achieve. Students learning decimals will discover how to express quantities that fall between whole numbers, making measurements and calculations more accurate in real-world applications.
RD Sharma's approach to teaching decimals breaks down complex ideas into manageable steps, helping students gradually build confidence with this essential mathematical concept. The exercise-wise solutions provided in Chapter 7 offer clear explanations and step-by-step methods that make learning decimals accessible and engaging for Class 6 students.
Aspects | Details |
Class | Class 6 |
Subject | Mathematics / Maths |
Book | RD Sharma |
Chapter Number | 7 |
Name of Chapter | Decimals |
Study Material Here | RD Sharma Solutions Class 6 Maths Chapter 7 Decimals |
RD Sharma Solutions of All Chapters of This Class | RD Sharma Class 6 2025 Solutions |
All RD Sharma Solutions PDF Available | Yes |
RD Sharma Solutions for Class 6 Maths Chapter 7 β Decimals offer an easy and effective way for students to learn decimal concepts like place value, addition, subtraction, multiplication, and division of decimals. Crafted by subject experts, these solutions provide step-by-step explanations that strictly follow the latest CBSE syllabus, ensuring clear understanding.
To strengthen problem-solving skills, students can practice Class 6 Maths worksheets along with RD Sharma Solutions for Class 6. For quick and easy revision, the Class 6 Maths Decimals PDF download is available, allowing students to review important topics anytime.
To support better learning, students are also encouraged to use NCERT Solutions along with the RD Sharma Class 6 full book PDF. Regular practice with RD Sharma Solutions for Class 6 Maths Chapter 7 helps students master decimal operations, improve accuracy, and boost confidence for exams.
The RD Sharma Class 7 Chapter 7 PDF offers complete solutions, solved examples, and extra questions to help you easily understand real numbers and related concepts. Designed as per the latest syllabus, this PDF is perfect for quick revision and strong practice. Click here to download the RD Sharma Class 6 Chapter 7 PDF and boost your preparation!
RD Sharma Class 6 Chapter 7 Download PDF
Exercise 7.1 page: 7.4
1. Write the following decimals in the place value table:
(i) 52.5
(ii) 12.57
(iii) 15.05
(iv) 74.059
(v) 0.503
Solution:
2. Write the decimals shown in the following place value table:
i) 307.12
(ii) 9543.025
(iii) 12.503
3. Write each of the following decimals in words:
(i) 175.04
(ii) 0.21
(iii) 9.004
(iv) 0.459
Solution:
(i) 175.04 can be written as one hundred seventy five and four hundredths.
(ii) 0.21 can be written as zero and twenty one hundredths.
(iii) 9.004 can be written as nine and four thousandths.
(iv) 0.459 can be written as zero and four hundred fifty nine thousandths.
4. Write each of the following as decimals:
(i) 65 + 2/10 + 7/100
(ii) 45 + 9/100
(iii) 88 + 5/10 + 2/1000
(iv) 3/10 + 7/1000
Solution:
(i) 65 + 2/10 + 7/100
In the above question
We know that
6 tens, 5 ones, 2 tenths and 7 hundredths
Hence, the decimal number is 65.27.
(ii) 45 + 9/100
In the above question
We know that
4 tens, 5 ones and 9 hundredths
Hence, the decimal number is 45.09.
(iii) 88 + 5/10 + 2/1000
In the above question
We know that
8 tens, 8 ones, 5 tenths and 2 thousandths
Hence, the decimal number is 88.502.
(iv) 3/10 + 7/1000
In the above question
We know that
3 tenths and 7 thousandths
Hence, the decimal number is 0.307.
5. Write each of the following as decimals:
(i) Five and four tenths
(ii) Twelve and four hundredths
(iii) Nine and Seven hundred five thousandths
(iv) Zero point five two six
(v) Forty seven and six thousandths
(vi) Eight thousandths
(vii) Nineteen and nineteen hundredths.
Solution:
(i) Five and four tenths
It can be written as
5 + 4/10 = 5.4
(ii) Twelve and four hundredths
It can be written as
12 + 4/100 = 12.04
(iii) Nine and Seven hundred five thousandths
It can be written as
9 + 705/1000 = 9.705
(iv) Zero point five two six
It can be written as
0.526
(v) Forty seven and six thousandths
It can be written as
47 + 6/1000 = 47.006
(vi) Eight thousandths
It can be written as
8/1000 = 0.008
(vii) Nineteen and nineteen hundredths
It can be written as
19 + 19/100 = 19.19
Using RD Sharma Solutions for Class 6 Maths Chapter 7 Decimals offers several advantages for students striving to master decimal concepts:
RD Sharma Class 6 Chapter 7 covers fundamental decimal concepts including decimal place values, converting fractions to decimals, comparing decimal numbers, and performing arithmetic operations with decimals (addition, subtraction, multiplication, and division). The chapter systematically progresses from basic decimal notation to more complex applications, ensuring students build a strong foundation in decimal operations.
RD Sharma Class 6 Chapter 7 contains seven comprehensive exercises (7.1 through 7.7) that cover different aspects of decimals. Exercise 7.1 focuses on decimal notation and place values, Exercise 7.2 covers conversion between fractions and decimals, Exercise 7.3 deals with comparing decimal numbers, Exercise 7.4 covers addition and subtraction of decimals, Exercise 7.5 focuses on multiplication of decimals, Exercise 7.6 deals with division of decimals, and Exercise 7.7 integrates all these concepts through application-based problems. Each exercise is designed to reinforce specific skills and ensure complete mastery of decimal operations.
Common mistakes in decimal problems include misaligning decimal points during addition and subtraction, incorrectly placing decimal points after multiplication or division, confusion about decimal place values, errors in converting between fractions and decimals, and forgetting to add trailing zeros when necessary. Students often struggle with word problems that require identifying which decimal operation to use. To avoid these mistakes, encourage careful reading of problems, systematic working, and verification of answers.
You can easily get the RD Sharma Solutions for Class 6 Chapter 7 - Decimals PDF from trusted educational websites like Infinity Learn offering free downloads.
Yes, RD Sharma Solutions for Class 6 Chapter 7 are carefully prepared by experts and strictly follow the latest CBSE syllabus.
The best way is to first understand the examples, then practice each exercise regularly using RD Sharma Solutions for Class 6 Maths Chapter 7.