**Fractions and Decimals**

## Lesson 6 What is Decimals?

**Welcome friends!!**Now so far we learnt about Fractions, we will now find out what is Decimals? Have you come across words like 5.3 miles, 2300.1 miles, 43.8 lb, 16.3 oz etc? These numbers represent Decimal numbers. Let us learn more about Decimals now.

**Objectives:**In this lesson we will learn what is Decimal Fraction? What is Vulgar Fraction? How do you represent Decimal Fractions?

Numbers 1, 3, 5 .7, 9. 36, 234 etc are all Integers.

7/12, 3/ 5, 4/7, 11/15 etc. are all called ‘Vulgar Fractions’.

The fractions having the denominators 10, 100, 1000 …….. can be expressed in another method called Decimal Fractions.

Let us consider a fraction 3/10 which is a ‘Vulgar Fraction’. This can be expressed as 0.3 as Decimal Fraction.

Consider mixed Fraction 5 12/100, the equivalent Decimal Fraction for this is 5.12

Consider fraction 7 7 /1000 the equivalent Decimal Fraction for this is 7.0007

.

**Place Value:**The Place and the Place Value of each digit in the Decimal Fraction 79.425 is given below:

Place Place Value |
Tens | Units | Decimal | Tenths | Hundredths | Thousandth |

Digits | 7 | 9 | . | 4 | 2 | 5 |

Place Value of Digits | 70 | 9 | . | 4/10 | 2/100 | 5/1000 |

## Practice Problems

Remember you will simply solve these problems on your own; It is

Represent following Vulgar Fractions into Decimal form.

1. 3 4/10

2. 17 56/100

3. 11 35/1000

**not**needed to email the answers to the instructor.Represent following Vulgar Fractions into Decimal form.

1. 3 4/10

2. 17 56/100

3. 11 35/1000

## Assignment 6

:

Represent following Vulgar Fractions into Decimal form.

1. 13 1/100

2. 22 78/100

**Please email the answers to this Assignment 6 to the email address provided at the bottom of the page. Please do not forget to write the Assignment number.**Represent following Vulgar Fractions into Decimal form.

1. 13 1/100

2. 22 78/100

## Assessment 6

**Please email the answers to this Assessment 6 to the email address provided at the bottom of the page. Please do not forget to write the Assessment number.**

Represent following Vulgar Fractions into Decimal form.

1. 78 5/100

2. 23 55/1000

3. 1 1/100

4. 20 2/10

5. 45 34/1000

## Objectives of next lesson

Brief Objective of next Lesson: In the next lesson we will study Conversions of Vulgar Fraction into Decimal form and vice a versa.

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**Please email your assignments and assessments to: dskarkha@ncsu.edu**