NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.5 in Hindi and English Medium prepared for CBSE 2022-2023.

## 6th Maths Exercise 8.5 Solutions in Hindi and English Medium

### Class 6 Maths Chapter 8 Exercise 8.5 Solution

Class: 6 | Mathematics |

Chapter: 8 | Exercise: 8.5 |

Topic Name: | Decimals |

Content: | Text PDF and Videos Solutions |

Medium: | Hindi and English Medium |

##### General Method of Converting a Common Fraction into a Decimal Fraction

To convert a common fraction into a decimal fraction, we adopt the division method. In this method, we use the following steps:

Step-1: Divide the numerator by the denominator till a non-zero remainder is obtained.

Step-2: Put a decimal point in the dividend as well as in the quotient.

Step-3: Put a zero on the right of the decimal point in the dividend as well as on the right of the remainder.

Step-4: Divide again just as we do in whole numbers.

Step-5: Repeat step 4 till the remainder is zero.

### Class 6 Maths Exercise 8.5 Extra Question with Answer

### Convert 9(8/25) into decimal fractions.

9(8/25) can be written as (9 x 25 + 8)/25 = 233/25 = (233 x 4)/ (25 x 4) = 932/100 = 9.32

### Express in kilograms, using decimals: (i) 3 kg 222 g (ii) 8 g

(i) 3 kg 222 g = 3 kg + 222 g

= 3 kg + 222/1000 (because 1 g = 1/1000 kg)

= 3.222 kg

(ii) 8 g = 8/1000 = 0.008 kg

Example:

Convert 3/4 into decimals.

Divide the numerator 3 by the denominator 4.

Â¾ = 3.00/4 = 0.75

### Class 6 Maths Exercise 8.5 Important Questions

### How do I convert a fraction to a decimal?

(i) In fractions, the numerator is the number above the line and the denominator is the number below.

(ii) The line in a fraction that separates the numerator and the denominator represents division.

(iii) To convert a fraction to a decimal, divide the numerator by the denominator.

### What is decimal value of 1/3?

To convert 1/3 to a Decimal

1.0000 = 0.333 (accurate to only 3 decimal places)

### What is called decimal fraction?

A fraction where the denominator (the bottom number) is a power of ten (such as 10, 100, 1000, etc). You can write decimal fractions with a decimal point (and no denominator), which make it easier to do calculations like addition and multiplication on fractions.

##### Some Uses of Decimal Notation

Example:

Express in kilometres, using decimals:

(i) 8 km 56 m (ii) 853 m

(i)8 km 56 m = 8 km + 56 m

8 km + 56/1000 km (Because 1meter = 1/1000 km)

= 8 km + 0.056 km = 8.056 km

(ii) 853 m = 853/1000 = 0.853 km

### Which questions of exercise 8.5 of Class 6 Maths can the teacher give in the school exams?

Exercise 8.5 of grade 6th Maths has three examples (examples 12, 13, 14) and seven questions. The questions of exercise 8.5 of grade 6th Maths that teachers can give in the school exams are questions 2, 3, 4, 5, 6, 7, and example 14. These questions are word problems. These questions are important. Donâ€™t skip these questions for exams.

### On which concept exercise 8.5 of 6th standard Maths is based?

In exercise 8.5 of 6th standard Maths, students will learn how to add decimals. This exercise has three examples (examples 12, 13, 14) and seven questions. In all questions, students have to just add the given decimals.

### Is exercise 8.5 of 6th standard Maths lengthy?

No, exercise 8.5 of 6th standard Maths is not at all lengthy. This is a short exercise. Students can complete exercise 8.5 maximum in 2 days if they give 1 hour per day to this exercise.

### Is exercise 8.5 of 6th standard Maths complicated to solve and understand?

No, exercise 8.5 of 6th standard Maths is not a complicated one. This exercise is very easy to solve and understand. Students quickly catch the concept of this exercise.