# NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 (Ex. 8.1) Decimals in Hindi Medium and English Medium updated for new academic session 2021-2022. All the contents are free to use without any login or other formalities.

Videos related to solutions and explanation are given separately. Use PDF solutions and take help from videos, if required, to understand properly. The method, we have used, is very helpful for all the students.

## Class 6 Maths Chapter 8 Exercise 8.1 Solution

• ### CBSE NCERT Class 6 Maths Chapter 8 Exercise 8.1 Solution in Hindi and English Medium

 Class: 6 Mathematics Chapter: 8 Decimals Exercise: 8.1 Hindi and English Medium Solutions

### Class 6 Maths Chapter 8 Exercise 8.1 Solution in Videos

Class 6 Maths Chapter 8 Exercise 8.1 Solution
Class 6 Maths Chapter 8 Exercise 8.1 Explanation

#### Decimals

The word decimal comes from Latin word ‘Decem’ meaning 10. We have learnt in the earlier classes that in a place value chart, each place has a value ten times the value of the next place on its right. For example, the value of hundreds place is ten times that of the value of tens place, the value of thousands place is ten times that of the value of hundreds place and so on.

On the other hand, the value of a place is one-tenth of the value of the next place on its left. For example, the value of hundreds place is one-tenth that of the value of thousands place, the value of tens place is one-tenth that of the value of hundreds place etc.

##### Let us consider the place value of 7 in the following numbers:

(i) 7083 – The place value of 7 is 7000;
(ii) 5769 – The place value of 7 is 700;
(iii) 2573 The place value of 7 is 70 and
(iv) 4567 The place value of 7 is 7.

From the above discussion, we observe that when the digit 7 moves one place to the right, its value becomes one-tenth (1/10) of its previous value, when it moves two places to the right, its value becomes one-hundredth (1/100) of its previous value and so on.
If we wish to continue moving towards right, we shall have to extend the place-value chart beyond ones place by opening the places for tenths, hundredths, thousandths and so on.

###### Thus, the place value table takes the following shape:
Words Numeric
Thousands 1000
Hundreds 100
Tens 10
Ones 1
Tenths 1/10
Hundredths 1/100
Thousandths 1/1000

If we have to represent the number 157 + 3/10 + 8/100 in the place value chart, then 1 goes to hundreds place, 5 goes to tens place, 7 goes to ones place, 3 goes to tenths place and 8 goes to hundredths place.

Words Numeric
Hundreds 1
Tens 5
Ones 7
Tenths 3
Hundredths 8

The number shown in the chart is written as 157.38 and is called a decimal fraction or simply decimal. It is read as one hundred fifty-seven point three eight. Here the point (.) called the decimal point. separates whole number and fractional parts.

### Class 6 Maths Exercise 8.1 Important Questions

##### Write the following decimal 34.89 in the place value chart:

The number 34.89 can be written in place value chart as:
Tens – 3
Ones – 4
Tenths – 8
Hundredths- 9

##### What are the place values in decimals?

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

##### How is decimal place value used in the real world?

We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.

##### What does decimal point mean?

It is a point or dot we use to separate the whole number part from the fractional part of a decimal number. A decimal number is a number that consists of a whole number and a fractional part. The decimal point separates the whole number from the fractional part.

##### Which questions of Class 6 Maths Exercise 8.1 can students expect in First term exams?

Exercise 8.1 of grade 6th Maths has three examples (examples 1, 2, 3) and 10 questions. Questions of exercise 8.1 of grade 6th Maths that students can expect in the unit test are questions 2, 8, 10. These questions are very important questions of this exercise.

##### Which problems of exercise 8.1 of grade 6th Maths are similar?

In exercise 8.1 of grade 6th Maths, there are three examples (examples 1, 2, 3) and 10 questions. Example 1 and question 2 are of the same kind. Example 2 and question 3 are similar to each other. Example 3 and question 4 are of the same type. Questions 6 and 10 are the same.

##### What is the minimum number of days students need to complete exercise 8.1 of class 6th Maths?

Students need a minimum of 2 days to complete exercise 8.1 of grade 6th Maths if per day students give 1 hour to exercise 8.1. This time is not fixed. This time can vary because no students can have the same working speed, ability, etc.

##### Is there a need to practice extra questions of exercise 8.1 of grade 6 Maths for the exams?

No, there is no need to practice extra questions of exercise 8.1 of grade 6th Maths for the exams. NCERT questions are more than sufficient to practice for the exams. If students honestly practice NCERT questions of exercise 8.1, they will score good marks in this exercise in exams.        