# NCERT Solutions for Class 6 Maths Chapter 8 – Decimals

NCERT Solutions for Class 6 Maths Chapter 8 Decimals** **will help you attain an in-depth understanding of various important concepts of decimals. NCERT Solutions are written in simple language to facilitate fast and quick learning. Crucial topics covered in this chapter are examples of decimals, introduction to decimals, comparing decimals, additions of decimal numbers and subtraction of decimal numbers. The chapter comprises of 6 exhaustive exercises with 39 questions.

Our eminent maths teachers have created NCERT Solutions for Class 6 Maths Chapter 8** **for you. These solutions are drafted as per the latest CBSE Class 6 Maths Syllabus. They comprise of step-by-step answers to all questions of all 6 exercises. They comprise detail explanations of all topics from the NCERT Class 6 Maths Chapter 8** **and adequate examples**.**

Our NCERT Solutions have been designed are of fine quality and are 100% accurate. If you study CBSE NCERT Class 6 Maths Book along with our systematic and effective NCERT Solutions you will surely become thorough with all important concepts and perform brilliantly well in your exams. Our subject experts have used the best methods of solving the problems to ensure efficient learning.

## NCERT Solutions for Class 6 Maths Chapter 8-Decimals

In NCERT Solutions Class 6 Maths Chapter 8, you will learn about the representation of numbers that are less than 1. It tells you how the period or the decimal point also plays a crucial role in decimal numbers. Some of the important topics covered in this chapter are given below.

**Some Decimal Examples**

In NCERT CBSE Class 6 Maths, we shall see some examples of various decimal numbers to help you get familiarised with the topic and understand the fundamentals of the same. It teaches you the definition of the place value of a digit. The place value of a digit is described as the value of a digit as per the place of that digit in a number. Some examples of decimals numbers are 0.67342, 0.5624, 0.034, 0.12, and 0.6

**Introduction to decimals**

In this part of CBSE NCERT Solutions for Class 6 Maths Chapter 8, you will learn how to use decimals in our lives. You will use them in presenting units of weight, height, money and length. For example, the price of chocolate is 50.5, and price of a book is 35.6, and the length of a box is 12.67 CM.

**Representing decimals on a number line**

In this part of CBSE NCERT Class 6 Maths book, you will learn how to represent decimals on a number line. Look at the example below.

In this number line, if you want to place the number -0.5 on a number line shown above, you have to put this decimal number in between -1 to 0 because -0.5 is less than zero and more than -1.

**Comparing decimals:**

In this section of NCERT Solutions for Class 6th Maths Chapter 8 – Decimals, you will understand how to compare 2 decimal numbers. You will learn how to compare two decimal numbers when whole parts are equal and how to compare two decimal numbers when the whole parts are unequal. Here are a few examples.

**An example of comparison of decimals when the whole parts are equal is given below.**

Compare 31.2 and 31.3**. **Whole parts are equal. Thus we compare the tenths part.

31.2=31 + 2/10

31.3 = 31 + 3/10

2/10<3/10

∴ 31.2 < 31.3

**An example of comparison of decimals when the whole parts are unequal is given below.**

Compare 1 and 0.87

Whole parts are unequal.

1=1 + 0/10+0/100

0.87 = 0 + 8/10 +7/100

∴ the whole part of 1>0.87

**Addition of numbers with decimals**

In this part of NCERT Class 6 Maths Chapter 8 Decimals, you will be taught how to add the decimal numbers. Here, you will be able to add the whole numbers, but the numbers after decimal remain in the same place. You will learn how it is done in a step by step manner through various solved examples. One such example has been given below.

While adding two or more numbers with decimals ensure the decimals are exactly under each

other.

**Subtraction of numbers with decimals**

In this part of CBSE NCERT Class 6 Maths book, you will be taught how to subtract the decimal numbers. Here, you will be able to subtract the whole numbers, but the numbers after decimal remain in the same place. You will learn how it is done in a step by step manner through various solved examples. One such example has been given below.

While subtracting one decimal number from the other ensure the decimals are exactly under each other.

**Multiplication of decimals**

In this part of NCERT Class 6 Maths Chapter 8, you will be taught how to multiply two numbers with decimals. You will learn how it is done in a step by step manner through various solved examples. One such example has been given below.

Example: 2.8×7

Step 1:In this problem sum notice that there is only one digit to the right of the decimal point in 2.8.

Step 2:Multiply both the numbers ignoring the decimals. 28×7=196

Step 3: Now bring the decimal back after one digit from left and thus answer is 19.6

**Division of decimals**

In this part of NCERT CBSE Class 6 Maths Chapter 8, you will be taught how to divide a number with decimals. You will learn how it is done in a step by step manner through various solved examples. One such example has been given below.

Step 1: Ignore the decimals and perform the division. 34/2=17

Step 2: Notice that there is only one digit to the right of the decimal point in 3.4

Step 3. Now bring the decimal back after one digit from left and thus answer is 1.7

Our smart NCERT Solutions for Class 6 Maths Chapter 8-Decimals also cover decimals in length Measurement and decimals in weight measurement, conversion of fraction into decimals and conversion of decimals into fractions.

## NCERT CBSE Class 6 Maths Chapter 8 Exercises

Class 6 Maths Decimals consists of a total of 6 exercises. Below is the list of exercises and their components.

**Exercise 8.1: **

- Exercise 8.1 of CBSE NCERT Solutions for Class 6 Maths book, has 10 questions.
- Here, all the questions are short answer questions that cover various concepts from the chapter.
- Question 1 asks you to represent the numbers based on the given figures.
- Question 2 asks you to write decimals in the place value table.
- Question 3 asks you to write the given numbers in decimals.
- In question 4, you have to convert fractions into decimals.
- Question 5 asks you to convert decimals into fractions.
- Question 6 and 10 cover the sub-topics decimals in length measurement and representation of decimals on a number line.

**Exercise 8.2:**

- This exercise of NCERT CBSE Class 6 Maths Chapter 8, consists of 7 questions.
- In question 1, you have to complete the table with the help of the given boxes and use decimals to write the numbers.
- Questions 2 and 3 requires you write the numbers given in place value table in decimal form and write the given decimals in a place value table respectively.
- In question 4, you have to convert the fractions into decimal numbers.
- Question 5 asks to write the decimal values in words.
- In question 6 relates to the representation of decimals on a number line. Question 7 requires you to write the given decimals as fractions in lowest terms.

**Exercise 8.3**

- This exercise of NCERT Solutions for Class 6 Maths Chapter 8-Decimals has two long questions.
- Question 1 has 10 sub-questions, in which you have to compare the decimals and write, which is greater along with an appropriate explanation.
- In question 2, you have to create your own examples and state, which number is greater among them. This question is also from comparing decimals.

**Exercise 8.4**

- This exercise of NCERT Solutions for Class 6 Maths Chapter 8-Decimals has 5 questions.
- Question 1 asks you to express the given numbers as rupees using decimals.
- Question 2 is about expressing the given numbers in metres using decimals.
- Question 3 is about expressing the given numbers into centimetres using decimals.
- Question 4 and question 5 is about expressing the given numbers as kilometres and kilograms using decimals, respectively.

**Exercise 8.5**

- This exercise of NCERT Solutions for Class 6 Maths Chapter 8-Decimals consists of 7 questions. These complete exercise questions are based on the addition of decimal numbers.
- It gives you an ample amount of practice and helps you become thorough with this sub-topic. Some questions in this exercise are direct questions, and some are scenario-based problem sums.

**Exercise 8.6**

- This exercise of NCERT Solutions for Class 6 Maths Chapter 8-Decimals consists of 7 questions. This exercise comprises of questions based on the subtraction of decimals.
- It gives you a good amount of practice and helps you become thorough with this sub-topic. Some questions in this exercise are direct questions, and some are scenario-based problem sums.