# NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 (Ex. 8.2) Decimals in PDF format free to download in Hindi or English Medium for session 2020-2021. All the solutions for class VI are in PDF as well as videos format free to use without any registration.

Step by step solutions are given in explanation video of class 6 mathematics exercise 8.2, so that students can understand easily.## Class 6 Maths Chapter 8 Exercise 8.2 Solution

Class: 6 | Mathematics |

Chapter: 8 | Decimals |

Exercise: 8.2 | PDF and Videos Solution |

### CBSE NCERT Class 6 Maths Chapter 8 Exercise 8.2 Solution in Hindi and English Medium

### Class 6 Maths Chapter 8 Exercise 8.2 Solution in Videos

#### Expanded Notation for Decimals

Study the following examples carefully.

Example:

Write each of the following decimals in expanded form:

(i) 7.9 (ii) 11.85 (iii) 71.122 iv) 257.084

(i) 7.9 = 7 + 9/10 = 7 + 0.9

(ii) 11.85 = 11 + 8/10 + 5/100 = 11 + 0.8 + 0.05

(iii) 71.122 = 71 + 1/10 + 2/100 + 2/1000 = 71 + 0.1 + 0.02 + 0.002

(iv) 257.084 = 257 + 0/10 + 8/100 + 4/1000 = 257 + 0.0 + 0.08 + 0.004

In the above examples, 7.9, 11.85, 71.122 and 257.084 have been written in the expanded form.

##### Write each of the following in decimal form: (i) 3 + 5/10 + 7/100 (ii) 40 + 8 + 9/10 +3/100 + 5/1000 (iii) 70 + 3 + 1/10 + 5/1000

(i) 3 + 5/10 + 7/100 = 3 + 0.5 + 0.07 = 3.57

(ii) 40 + 8 + 9/10 +3/100 + 5/1000 = 48 + 0.9 + 0.03 + 0.005 = 48.935

(iii) 70 + 3 + 1/10 + 5/1000 = 73 + 0.1 + 0.005 = 73.105

##### What is value in place value?

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousand, or 5,000.

##### Why is decimal point so important?

So, our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Digits can be placed to the left or right of a decimal point, to show values greater than one or less than one. The decimal point is the most important part of a Decimal Number.

##### How do you read after a decimal point?

Say the number after the decimal and add its numerical place to it.

For example, if the number is 6.2, say “six and two tenths.”

If the number is 6.27, say “six and twenty-seven hundredths.”

If the number is 6.275, say “six and two-hundred and twenty-seven thousandths.”