NCERT Solutions for Class 7 Maths Chapter 2: Fractions and Decimals - Exercise 2.6

1. Find: 

i. $0.2 \times 6$

Ans: Multiplication of $0.2$ is six times will get $1.2$ as an answer. 

Thus, $0.2 \times 6 = 1.2$

ii.  $8 \times 4.6$

Ans: Multiplication of $4.6$ is eight times will get $36.8$ as an answer. 

Thus, $8 \times 4.6 = 36.8$

iii. $2.71 \times 5$ 

Ans: Multiplication of $2.71$ is five times will get $13.55$ as an answer. 

Thus, $2.71 \times 5 = 13.55$

iv. $20.1 \times 4$

Ans: Multiplication of $20.1$ is four times will get $80.4$ as an answer. 

Thus, $20.1 \times 4 = 80.4$

v. $0.05 \times 7$ 

Ans: Multiplication of $0.05$ is seven times will get $0.35$as an answer. 

Thus, $0.05 \times 7 = 0.35$

vi. $211.02 \times 4$

Ans: Multiplication of $211.02$ is four times will get $844.08$ as an answer. 

Thus, $211.02 \times 4 = 844.08$

vii. $2 \times 0.86$

Ans: Multiplication of $0.86$ is two times will get $1.72$ as an answer. 

Thus, $2 \times 0.86 = 1.72$

2. Find the area of the rectangle whose length is \[{\mathbf{5}}.{\mathbf{7cm}}\] and breadth is \[{\mathbf{3cm}}\].

Ans: Length of rectangle \[ = 5.7cm\] and Breadth of rectangle \[ = 3cm\]

Area of rectangle = Length x Breadth

\[ = 5.7 \times 3\]

\[ = 17.1c{m^2}\]

Thus, the area of the rectangle is $17.1$\[c{m^2}\].

3. Find: 

i. $1.3 \times 10$ 

Ans: Multiplication of $1.3$ is ten times will get $13$as an answer. 

Thus, $1.3 \times 10 = 13$

ii. $36.8 \times 10$ 

Ans: Multiplication of $36.8$ is ten times will get $368$ as an answer. 

Thus, $36.8 \times 10 = 368$

iii. $153.7 \times 10$

Ans: Multiplication of $153.7$ is ten times will get $1537$ as an answer. 

Thus, $153.7 \times 10 = 1537$

iv. $168.07 \times 10$ 

Ans: Multiplication of $168.07$ is ten times will get $1680.7$ as an answer. 

Thus, $168.07 \times 10 = 1680.7$

v. $31.1 \times 100$ 

Ans: Multiplication of $31.1$ is a hundred times will get $3110$ as an answer. 

Thus, $31.1 \times 100 = 3110$

vi. $156.1 \times 100$ 

Ans: Multiplication of $156.1$ is a hundred times will get $15610$ as an answer. 

Thus, $156.1 \times 100 = 15610$

vii. $3.62 \times 100$

Ans: Multiplication of $3.62$ is a hundred times will get $362$ as an answer. 

Thus, $3.62 \times 100 = 362$

viii.  $43.07 \times 100$ 

Ans: Multiplication of $43.07$ is a hundred times will get $4307$ as an answer. 

Thus, $43.07 \times 100 = 4307$

ix. $0.5 \times 10$ 

Ans: Multiplication of $0.5$ is ten times will get $5$ as an answer. 

Thus, $0.5 \times 10 = 5$

x. $0.08 \times 10$

Ans: Multiplication of $0.08$ is ten times will get $0.8$ as an answer. 

Thus, $0.08 \times 10 = 0.8$

xi. $0.9 \times 100$

Ans: Multiplication of $0.9$ is a hundred times will get $90$ as an answer. 

Thus, $0.9 \times 100 = 90$

xii. $0.03 \times 1000$ 

Ans: Multiplication of $0.03$ is a thousand times will get $30$ as an answer. 

Thus, $0.03 \times 1000 = 30$

4. A two-wheeler covers a distance of  \[{\mathbf{55}}.{\mathbf{3km}}\] in one litre of petrol. How much distance will it cover in \[{\mathbf{10}}\] litres of petrol? 

Ans: Given,in one litre, a two-wheeler covers a distance \[ = 55.3km\]

∴ In 10 litres, a two- wheeler covers a distance \[ = 55.3 \times 10\]

\[ = {\text{5}}53.0km\]

Thus, \[553km\] distance will be covered by it in \[10\] litres of petrol.

5. Find: 

i. $2.5 \times 0.3$

Ans: Multiplication of $2.5$ is $0.3$ times or vice versa will get $0.75$ as an answer. 

Thus, $2.5 \times 0.3 = 0.75$

ii. $0.1 \times 51.7$

Ans: Multiplication of $0.1$ is $51.7$ times or vice versa will get $5.17$ as an answer. 

Thus, $0.1 \times 51.7 = 5.17$

iii. $0.2 \times 316.8$ 

Ans: Multiplication of $0.2$ is $316.8$ times or vice versa will get $63.36$ as an answer. 

Thus, $0.2 \times 316.8 = 63.36$

iv. $1.3 \times 3.1$

Ans: Multiplication of $1.3$ is $3.1$ times or vice versa will get $4.03$ as an answer. 

Thus, $1.3 \times 3.1 = 4.03$

v. $0.5 \times 0.05$

Ans: Multiplication of $0.5$is $0.05$ times or vice versa will get $0.025$ as an answer. 

Thus, $0.5 \times 0.05 = 0.025$

vi. \[11.2 \times 0.15\] 

Ans: Multiplication of $11.2$ is $0.15$ times or vice versa will get $1.680$ as an answer. 

Thus, $11.2 \times 0.15 = 1.680$

vii. $1.07 \times 0.02$

Ans: Multiplication of $1.07$ is $0.02$ times or vice versa will get $0.0214$ as an answer. 

Thus, $1.07 \times 0.02 = 0.0214$

viii. $10.05 \times 1.05$ 

Ans: Multiplication of $1.05$ is $10.05$ times or vice versa will get $10.5525$ as an answer. 

Thus, $10.05 \times 1.05 = 10.5525$

ix. $101.01 \times 0.01$

Ans: Multiplication of $101.01$ is $101.01$ times or vice versa will get $1.0101$ as an answer. 

Thus, $101.01 \times 0.01 = 1.0101$

x. $100.01 \times 1.1$

Ans: Multiplication of $100.01$ is $1.1$ times or vice versa will get $110.11$ as an answer. 

Thus, $100.01 \times 1.1 = 110.11$

An Overview of Maths Exercise 2.6 Class 7 Fractions and Decimals

Fraction and Decimal is one of the most fundamental concepts of the number system. Students, who have a fair understanding of the functionality of fractions and decimals, will be able to apply the idea in the following chapters with ease. Consequently, they can also apply its basics in practical life to denote either the precise value or a portion of it as and when required.

To begin with, this chapter touches upon the concepts of proper fraction, improper fraction and mixed fraction. It also covers the concepts of addition and subtraction of fraction, which were covered in-depth in previous classes.

Similarly, students will also be able to refresh their memory of comparison of decimal, addition and subtraction of decimal and also their representation on the number line.

So, before you attempt to solve Exercise 2.6 Class 7, make sure that you have a strong grasp on these concepts that have been covered in the previous exercise –

• Proper, improper, and mixed fractions.

• Multiplication of fractions by a whole number.

• Multiplication of a fraction by a fraction.

• Division of fractions.

• Division of a whole number by a fraction.

• Reciprocal of a fraction.

• Division of a fraction by a whole number.

• Division of a fraction by another fraction.

• Multiplication of decimal numbers.

A clear understanding of these fundamental concepts of fractions and decimals will help you solve exercise 2.6 more conveniently. 

For instance, Class 7 Maths Chapter 2 Exercise 2.6 is mostly based on the multiplication of decimal by 10, 100 and 1000. Therefore, an accurate idea of the necessary step by step method will help you solve the problems effectively. It will also allow you to apply suitable techniques as and when required with more confidence and without making any significant mistakes.

Exercise 2.6 Class 7 - All Questions of Fractions and Decimal

Like discussed above, exercise 2.6 of chapter 2 is mostly based on the problems of fractions and decimals. It consists of a total of 5 questions and intends to test students’ ability to solve them accurately and with the help of a suitable method.

Students who are comparatively new to the use and application of fractions and decimals can refer our latest NCERT Solutions for Class 7 Maths Exercise 2.6. Besides offering a fair idea about the exercise in general, the compact step by step solutions will help you to solve similar problems with confidence.

Other than these, our Exercise 2.6 Class 7 solutions will help you in these ways –

• You will learn an accurate solution for each question.

• You will learn new shortcut techniques for solving the problems.

• It will offer you a suitable explanation as and when required.

Download a free PDF download of NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.6and experience all these benefits and much more first hand. Also, by incorporating our solution into your study regime, you will develop a systematic approach towards learning.

• Maths Exercise 2.6 Class 7 – Question 1

It comprises seven questions, wherein, students have to multiply a natural number with a decimal to reach the accurate answer.

To solve these sums correctly, you must be familiar with the steps of –

• Conversion of decimal into a fraction.

• The application of the multiplication method.

• Conversion of an improper fraction into a decimal.

Find the accurate answers for these seven problems and much more by referring to our latest NCERT Solutions for Class 7 Maths Exercise 2.6. Since each exercise comes with suitable explanations and smart shortcut techniques, you would be able to solve the sums almost immediately. A clear understanding of the techniques and explanations will help you solve sums based on fractions and decimals accurately and will help you solve related chapters with ease. Use our compact solutions as a study guide and become exam ready in no time. 

• Class 7 Maths Exercise 2.6 – Question 2

Do you remember the formula for calculating the area of a rectangle? Brush up your memory of the same before you jump onto solving this question.

You need to incorporate your knowledge about these to solve the said question as per directions –

• The formula for calculating the area of a rectangle.

• The multiplication of decimal.

Need a little assistance to recall the formula? Take a quick look at our Maths NCERT Solutions Class 7 Chapter 2 Exercise 2.6 pick the best technique of incorporating the concepts as mentioned above to solve the sum.

• Maths Class 7 Chapter 2 Exercise 2.6 – Question 3

Pick up the essential tips and tricks of solving problems on multiplication of decimal by 10, 100 and 1000 by following the NCERT Solutions for Class 7 Maths Exercise 2.6. Such suggestions will prove effective in solving problems like these effectively.

For instance, question 3 of Class 7 Maths Exercise 2.6 consists of 12 questions. All of the twelve questions can be solved by multiplying the decimal with 10, 100 or 100. Therefore, having a trick handy will allow you to solve such problems in no time and with greater ease.

• Maths NCERT Solutions Class 7 Chapter 2 Exercise 2.6 – Question 4

How confident are you when it comes to solving word problems? Make sure to give your confidence a little boost, as this particular sum is presented in the format of a word problem.

However, it also requires a specific approach to solving this kind of word-based problems. Equip yourself with the requisite tricks to solve this sum and similar types effectively.

For instance, in this case, you should have a fair understanding of how to calculate the total distance covered by a car from the given information. Nonetheless, students must also remember to apply the steps of decimal to solve this problem as per the context of the chapter. 

• NCERT Solutions for Class 7 Maths Chapter 2 exercise 2.6 – Question 5

So far, you have been solving questions where a natural number had to be multiplied with a decimal. However, it this particular question you will be multiplying two decimals to avail accurate solution. 

Find out how to solve this particular problem by glancing through the solved examples accompanying Class 7 Maths Exercise 2.6. It will come in handy for solving similar problems and will also offer you a brief insight into the step by step approach of the same. 

You can also take a cue from our NCERT Solutions for Class 7 Maths Exercise 2.6 and practice the solved problems. Also, our solved study materials can be used as a study guide, with the help of which you can check both your answers and steps applied for each sum. It will further help you to identify your mistakes successfully and will help you to rectify them easily.

Over time, this will help you boost your confidence and further allow you to pick up on the correct approach of solving important questions in exams. Nonetheless, you must ensure that you practice the sums and refer to its solutions regularly to maintain consistency. It will further help you to remember the steps correctly and will allow you to take your exam preparation to the next level. 

So, download the latest NCERT Solutions for Class 7 Maths Exercise 2.6 to learn about the latest inclusions and explanations in details!

Other Exercises of Class 7 Maths Chapter 2 

As discussed, this particular chapter touches upon the different aspects and functions of fractions and decimals and tests to test your familiarity with the same in general. This being said, the chapter consists of 7 exercises, namely –

• Exercise 2.1 Class 7

• Exercise 2.2 Class 7

• Exercise 2.3 Class 7

• Exercise 2.4 Class 7

• Exercise 2.5 Class 7

• Exercise 2.6 Class 7

• Exercise 2.7 Class 7

Let’s find out how our study solutions will help benefit your Maths revision for exams and will help you perform well in your upcoming exams.

• Ex. 2.1 

The first is of the seven exercises consists of eight questions and includes both word-based problems and numerical. Its sums can be best described as a means to test your knowledge of the concepts of decimal and fractions that were taught in previous classes. 

Refresh up your basics of this exercise, by taking a quick look at the solved examples that precede this exercise.

• Ex. 2.2

The next exercise consists of eight questions which are presented in the format of word-problems, numerical and problems-based on pictorial representation. The variety of questions dealt with in the exercise makes it a fun and interesting way of testing one’s level of comfort with decimals and fractions. 

Find out how each of these questions covers the fundamental concepts of the chapter by taking a quick look at our CBSE NCERT books for Class 7 Maths online. A quick reference followed by a prompt revision of NCERT Solutions for Class 7 Maths Exercise 2.6 will come in handy for strengthening your grasp of the chapter and related concepts.

Our solutions will serve as an excellent tool of year-round revision and will help you ace all your class tests and annual exam. Similarly, by adopting smart and shortcut techniques of solving numerical, you will pave the way for understanding fraction and decimal-based concepts better in higher classes.  

• Ex. 2.3

To score full marks in exams, you need to follow two simple rules – Use accurate methods and eliminate silly mistakes.

By incorporating a mix of both, you will not only improve your scope of scoring high marks in exams but also enhance your overall performance in the exam. 

For instance, exercise 2.3 of chapter 2 has eight questions which are based on multiplication and comparison of fraction and word problems. Since it comprises an easy set of questions, you may push yourself to solve them faster. However, this hurry exposes you to the risk of committing silly mistakes while solving the sums.

As a means to eliminate the scope of making any errors, follow our compact exercise-based solutions like NCERT Solutions for Class 7 Maths Exercise 2.6 and pick up smart techniques to solve the sums. Our shortcut techniques are suggested by subject experts who know how to get you to solve sums without leaving any room for errors. 

Using those techniques, you will be able to master the art of solving sums in less time and will significantly lower your chances of making any significant mistakes. 

• Ex. 2.4

Here you will have to solve a simple set of four questions that are based on the concept of addition, division and multiplication of fractions. A fair idea of the previous exercises will equip you with the requisite knowledge and confidence to solve the sums of this exercise accurately. 

Regardless, you must approach the sums smartly to get them solved within a few steps. Learn how to do the same by following the different approaches shown in our study solutions like NCERT Maths Class 7 Chapter 2 Exercise 2.6. 

Also, by using the tricks we shared in our solutions, you can solve them correctly and enhance your scope of securing full marks. Download our latest NCERT Solutions for Class 7 Maths Exercise 2.6 and others to learn such tricks and techniques immediately.

• Ex. 2.5

The entire exercise is based on decimals; therefore, you need to have a fair share of an idea of its different aspects to solve the exercise accurately. For instance, you need to learn how to figure out –

• Which decimal is greater between the given two.

• How to write the expanded form of a decimal.

• The accurate identification of place value, etc.

You can also access our chapter-based solutions for other exercises as well to gain valuable insight into how to solve sums that are based on these topics. So, by including our study solutions into your study regime to get all your lingering doubts about fractions and decimals absolved effectively. 

Each sum of such exercises has been treated with the utmost care and provides a suitable explanation behind every Mathematical operation. Also, to beat the burden of the last-minute exam revisions, you need a study guide like NCERT Solutions for Class 7 Maths 

• Ex.2.6

It makes the entire process seem less stressful and facilitates quality learning by allowing you to retain information for a long time.

So, make your revision process fun, easy and convenient by adopting effective tips and techniques from our solutions and use them for solving essential questions in exams.

• Ex. 2.7

The last exercise is entirely based on the Mathematical operations of decimals. For instance, here you will solve sums by dividing decimal with decimal, dividing decimal with whole numbers and dividing the decimal by the multiples of 10.  

You will come across different question formats, including word problems in this exercise. Pick up the basics of solving them effectively by following the solved examples followed in the books. Subsequently, figure out how well you can solve different problems by solving the accompanying exercises. 

In the case, you want to cross-check your answers, and the methods applied, you can refer to the step by step solutions provided in our exercise-based solutions. Download our latest study guides like NCERT Solutions for Class 7 Maths Exercise 2.6 and improve your quality of learning significantly.

Also, you do not have to worry about the accuracy of solutions we provide, as qualified professionals with years of expertise formulate all our study guides and cross-check them. Similarly, to incorporate all the latest inclusions and explanations, we tend to update our solutions regularly. It helps us cater to the current needs and requirements of students and helps facilitate quality learning among them. 

Download our exercise-based solutions like NCERT Solutions for Class 7 Maths Exercise 2.6 from Vedantu, to experience all this and much more every day. 

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