1. Std. :- 5th Sub. :- Mathematics Chapter no. 14
Decimal Fractions :Introduction

2. Decimal Fractions :Introduction
2.Reading
3.Place value
4.Conversion

3. Decimal Fraction : meaning
Observe the following fractions 13 17 17 10 7 3
100 5
A fraction which has 10, or 100, or 1000, or 10,000 or such multiples of 10 in the denominator is called a decimal fraction.

4. How do I know what kind of decimal it is?
The name of a decimal is determined by the number of places to the right of the decimal point
Number of Places
Decimal Name
Example 1
tenths
0.7 2
hundredths
0.05 3
thousandths
0.016

5. What are mixed decimals?
Mixed decimals are numbers with both whole numbers and decimals
The name of a whole number is determined by the number of places to the left of the decimal point
In the number , 1 is in the hundreds place, 2 is in the tens place, 8 is in the ones place, 7 is in the tenths place, 6 is in the hundredths place, and 5 is in the thousandths place

6. How do you read decimals?
To read a decimal correctly, first find the decimal point
Whole numbers are to the left of the decimal point; any numbers to the right of a decimal point form a decimal fraction
Say “and” for the decimal point
The decimal is read as “two thousand, one hundred sixty-four and five hundred eleven thousandths”

7. Zeros after the decimal point
Writing extra zeros after the decimal point does not change the value!
The decimals 0.2, 0.20, and are equivalent decimals

8. Practice
HERE ARE SOME PRACTICE PROBLEMS IN WHICH I WILL WORK THROUGH WITH YOU TO MAKE SURE THAT YOU UNDERSTAND THE MAIN CONCEPTS COVERED.

9. Exercise 1 Write the decimals. Five thousandths
Ninety-four thousandths
Three hundred thirty-six and sixty-nine hundredths

10. Exercise 2 Write each decimal in words. 7884.011 5592.4 4.203 612.250
10.44

11. Fractions to Decimals Express as a decimal.
Here it is best to divide out:

12. Express as a decimal. Here it is easier to make the denominator a multiple of 10

13. Converting decimals to fractions:
Convert fractions to decimals by dividing numerator by denominator:
Multiplying a decimal by a multiple of 10:
3.27x10 = 32.7, 3.27x100 = 327, 3.27x1000 = 3270
Dividing a decimal by a multiple of 10:
43.1÷10 = 4.31, 43.1÷100 = 0.431, 43.1÷1000 =
Decimals are fractions like tenths, hundredths, thousandths etc. which have denominators of 10 and multiples of 10 such as 100, 1000 etc.
So we can convert a decimal into a fraction by taking the number before the decimal point as the whole number and the numbers after the decimal point as a fraction with the denominator as 10 for one decimal place, 100 for two decimal places, 1000 for three decimal places etc.
E.g.
We can convert a fraction to a decimal by dividing the numerator by the denominator.
E.g. 1/8 = 1÷8 =
To multiply a decimal by 10 we move the decimal point one place to the right. To multiply by 100 we move the point two places to the right etc.
E.g. 3.27x10 = 32.7, 3.27x100 = 327, 3.27x1000 = 3270
To divide a decimal by 10 we move the decimal point one place to the left. To divide by 100 we move the point two places to the left etc.
E.g. 43.1÷10 = 4.31, 43.1÷100 = 0.431, 43.1÷1000 =
BREAK FOR EXERCISES – 1.05pm
zero after decimal point is to keep place value 13

14. Express as a decimal in its simplest form

15. Exercise 3
In what place (on the place value chart) is the underlined digit? Write the answer.
1.475
3.763

16. Reference :- Text Book
Web