Day 4: Decimals

Hello frndz,

Howz ur sunday... Have you enjoyed it!!!!!!!!!
Today we will learn about decimals and operation on decimals.

:-  7654.321, by which name, each digit known as?

In 7654.321, 1 known as Thousandth Digit (*1/1000)
In 7654.321, 2 known as Hundredth Digit (*1/100)
In 7654.321, 3 known as tenth Digit (*1/10)
In 7654.321, 4 known as Unit Digit  (*1) 
In 7654.321, 5 known as Ten Digit (*10)
In 7654.321, 6 known as Hundred Digit (*100)
In 7654.321, 7 known as Thousand Digit (*1000)

So 7654.321 can be rewrite as

7*1000 + 6*100 + 5*10 + 4 + 3*1/10 + 2*1/100 + 1*1/1000



:- Addition and Subtraction of Decimals:

To add 17.5612 and 635.27, first lined them. First number (17.5612) has 4 digits after decimals and second number (635.27) has 2 digits after decimals. Insert 2 zeros after second number.
So Now add, 17.5612 and 635.2700.
Add them as we simply do.....

To subtract 635.27 and 17.5612, first lined them. First number (635.27) has 2 digits after decimals and second number (17.5612) has 4 digits after decimals. Insert 2 zeros after first number.
So Now subtract, 635.2700 and 17.5612.
Subtract them as we simply do.....             



:- Multiplication of decimals:

To multiply decimals, first remove decimals from both numbers and multiply them as usual. In result, insert decimal at the place of total number of decimal place included by both number from right...

Confused!!!!!!!!! Don't worry
For eg. 2.09 * 1.3

Step 1: remove decimals. then 209 * 13 that gives us 2717

Step 2: Count the total number of decimals place in both numbers (2.09 has 2 decimal place from right and 1.3 has 1 decimal place from right So total number of decimal place is 2+1 = 3).

Step3: Put decimal after same number of place from right that gives us 2.717
So 2.09 * 1.3 = 2.717

Got it!!!!!



:- Division of decimals:


To divide decimals, first remove decimals from both numbers and divide them as usual. In result, insert decimal at the place of remaining number of decimal place included by both number from right...

Again Confused!!!!!!!!! Don't worry
For eg. 698.12 / 12.4

Step 1: remove decimals. then 69812 / 124 that gives us 563

Step 2: Count the remaining number of decimals place in both numbers (2.09 has 2 decimal place from right and 1.3 has 1 decimal place from right So remaining number of decimal place is 2-1 = 1).

Step3: Put decimal after same number of place from right that gives us 56.3
So 698.12 / 12.4 = 56.3

Got it!!!!!

   
Okies frndz, Hope you enjoyed this class also. Keep practice and we will come back with Real numbers in Next Class. Byee....


Er. Ankur Garg
garg.ankur6@gmail.com