# 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 2020-2021. 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

Class: 6 | Mathematics |

Chapter: 8 | Decimals |

Exercise: 8.1 | Hindi and English Medium Solutions |

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

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

#### 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.

##### 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.