RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.8

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.8 provide clear and step-by-step explanations to help students practice the addition of decimal numbers.

This exercise covers both simple additions and real-life word problems involving money, weight, length, and distance.

By aligning decimal places correctly and converting units into decimal form, students build accuracy and confidence in handling decimals.

The questions are designed as per the latest CBSE Class 6 syllabus, ensuring that students gain a thorough understanding of key concepts that are frequently tested in school exams.

Regular practice with these solutions strengthens problem-solving skills and improves overall exam performance.

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.8 Introduction

Exercise 7.8 focuses on the addition of decimal numbers, a fundamental concept in the decimal system.

It helps students build fluency in dealing with real-world quantities such as money, weight, length, and distance that are often expressed in decimals.

The exercise is divided into two types of questions: direct additions and word problems.

1. Direct Addition of Decimals

These questions involve adding 2 or more decimal numbers. Students must:

• Line up the decimal points correctly.

• Add zeroes if needed to equalize the number of decimal places.

• Add the numbers column by column like regular addition.

This teaches proper alignment of decimal numbers, which is crucial for accurate results.

2. Word Problems

These include real-life scenarios where decimal addition is required, such as:

• Adding money (e.g., total amount given by parents)

• Finding the total weight of fruits (kilograms and grams converted to decimal form)

• Calculating cloth lengths (meters and centimeters)

• Adding distances (kilometers and meters converted into decimal format)

These problems improve the student's ability to:

• Understand unit conversions (like 100 cm = 1 m or 1000 g = 1 kg)

• Translate real-life data into decimal numbers

• Perform accurate addition using decimals

Access answers to Maths RD Sharma Solutions for Class 6 Chapter 7 Decimals Exercise 7.8

Here are the detailed solutions for RD Sharma Class 6 Maths Chapter 7 Exercise 7.8 on Decimals.

1. Find the sum in each of the following:

Solution:

(i) We know that

102.360 + 7.054 + 0.800 = 110.214

(ii) We know that

0.060 + 4.108 + 91.500 = 95.668

(iii) We know that

312.800 + 290.020 + 128.457 = 731.277

(iv) We know that

113.285 + 6.700 + 9.340 + 30.080 = 159.405

(v) We know that

3.42 + 264.08 + 7.6 + 95.321 = 370.421

(vi) We know that

18.003 + 41.700 + 10.950 + 5.057 = 75.710

2. Add the following:

(i) 41.8, 39.24, 5.01 and 62.6

(ii) 4.702, 4.2, 6.02 and 1.27

(iii) 18.03, 146.3, 0.829 and 5.324

Solution:

(i) 41.8, 39.24, 5.01 and 62.6

It can be written as

41.80 + 39.24 + 5.01 + 62.60 = 148.65

(ii) 4.702, 4.2, 6.02 and 1.27

It can be written as

4.702 + 4.200 + 6.020 + 1.270 = 16.192

(iii) 18.03, 146.3, 0.829 and 5.324

It can be written as

18.030 + 146.300 + 0.829 + 5.324 = 170.483

3. Find the sum in each of the following:

(i) 0.007 + 8.5 + 30.08

(ii) 280.69 + 25.2 + 38

(iii) 25.65 + 9.005 + 3.7

(iv) 27.076 + 0.55 + 0.004

Solution:

(i) 0.007 + 8.5 + 30.08

It can be written as

0.007 + 8.500 + 30.080 = 38.587

(ii) 280.69 + 25.2 + 38

It can be written as

280.69 + 25.20 + 38.00 = 343.89

(iii) 25.65 + 9.005 + 3.7

It can be written as

25.650 + 9.005 + 3.700 = 38.355

(iv) 27.076 + 0.55 + 0.004

It can be written as

27.076 + 0.550 + 0.004 = 27.630

4. Radhika’s mother gave her Rs 10.50 and her father gave her Rs 15.80, find the total amount given to Radhika by her parents.

Solution:

Amount given by Radhika’s mother = Rs 10.50

Amount given by Radhika’s father = Rs 15.80

So the total amount given by her parents = Rs 10.50 + Rs 15.80 = Rs 26.30

Hence, the total amount given by her parents is Rs 26.30.

5. Rahul bought 4 kg 90 g apples, 2 kg 60 g of grapes and 5 kg 300 g of mangoes. Find the weight of the fruits he bought in all.

Solution:

Weight of apples bought by Rahul = 4 kg 90 g = 4.090 kg

Weight of grapes bought by Rahul = 2 kg 60 g = 2.060 kg

Weight of mangoes bought by Rahul = 5 kg 300 g = 5.300 kg

So the weight of all the fruits = 4.090 + 2.060 + 5.300 = 11.450 kg

Hence, the weight of the fruits bought by Rahul is 11.450 kg.

6. Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for skirt. Find the total cloth bought by her.

Solution:

Cloth bought by Nasreen for shirt = 3 m 20 cm = 3.20 m

Cloth bought by Nasreen for skirt = 2 m 50 cm = 2.05 m

So the total cloth bought by her = 3.20 + 2.05 = 5.25 m = 5 m 25 cm

Hence, the total cloth bought by her is 5 m 25 cm.

7. Sunita travels 15 km 268 m by bus, 7 km 7 m by car and 500 m by foot in order to reach her school. How far is her school from her residence?

Solution:

Distance travelled by Sunita by bus = 15 km 268 m = 15.268 km

Distance travelled by Sunita by car = 7 km 7 m = 7.007 km

Distance travelled by Sunita by foot = 500 m = 0.500 km

So the distance from residence to school = 15.268 + 7.007 + 0.500 = 22.775 km

Hence, the distance from her residence to school is 22.775 km.

RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.8 PDF Download

Students can download the PDF of RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.8 from the link given below. This PDF contains accurate and well-structured solutions to help students master the addition of decimal numbers.

With clear explanations and step-by-step methods, the solutions make it simple for students to follow along, whether studying in class or revising at home. This downloadable file is ideal for offline access, daily practice, and last-minute preparation before exams.

Preparation Tips for RD Sharma Solutions for Class 6 Maths Chapter 7 Exercise 7.8

• Line up decimal points correctly: Always place decimal points one below the other when adding decimals. This keeps place values aligned and avoids calculation errors.

• Equalize decimal places: Add zeroes to numbers with fewer decimal digits to match others. For example, convert 2.5 into 2.50 for easy addition.

• Practice vertical addition: Treat the decimals like whole numbers once decimal places are aligned. Carry over digits just like in normal addition.

• Understand unit conversions: When dealing with word problems, convert grams to kilograms, centimeters to meters, or meters to kilometers using decimals.

• Apply to real-life examples: Practice questions involving money, weights, lengths, or distances to connect math with everyday situations.

• Review common patterns: Revisit similar examples regularly to build speed and confidence in decimal addition.