MULTIPLY DECIMALS Question 1

A decimal is also a percentage(%).
A percentage(%) is a part of 100; the number 1 is 100%, the number 2 is 200%, the fraction 1/2 is 50%.
A decimal is written as:
0.1 or 0.10 or .1 or .10
1 = 1.0 = 1.00 = 100/100 = 100%
0.1 = 0.10 = .1 = .10 = 10/100 = 10%
0.01 = .01 = 1/100 = 1%
0.001 = .001 = 1/1000 = 0.1%
As the decimal point(.) moves to the right the number becomes larger.
As the decimal point(.) moves to the left the number becomes smaller.
The places to the right of the decimal point(.) are place holders for ones, tens, hundreds, etc., just as the place holders for whole numbers such as 1, 10, 100, 1000.


0.1 x 0.1 =
Step 1: We can think of the 2 decimals as 2 numbers and we get the following:
   0.1  
x 0.1 
   01
0 00  
0.01
Note: When two decimals are multiplied, the decimal places in the result is the sum of the decimal places in each decimal. In this question, each decimal has one decimal place so the sum is 2 decimal places.
Step 2: As a proof of our answer we can say:
0.1 = 10/100 then:
0.1 x 0.1 =  10 x  10 =  10 x 10    =    100 =    100/100  =    1 = 0.01
                  100   100   100 x 100   10000   10000/100    100
Step 3: The answer can also be written as:
0.01 = .01 = 1/100 = 1%
Conclusion: We started out with two decimals and now have a new decimal.
0.1 x 0.1 = 0.01

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