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11th Grade Math
Introduction to Decimals
Decimals are the fractions with denominator 10,100,1000 and so on.
In case of fractional numbers, we write them using numerators and denominators. But in decimal we use a decimal point.
0.7,22.6, 234.85, etc.
In the above figure there are 2 notes of 3 dollar = 2 x 3 = $6
There is one coin of 2 cents.
Total money = $6 and 2 cents, this can be written as in decimal form as $ 6.02 ( as $1 = 100 cents)
The number before the decimal point is called the
Whereas the number after the decimal point is called the
43 is a whole part and 012 is a fractional part. These two parts are separated by a point called Decimal point.
Some more examples :
Here, 123 = whole part and
.34 = Point 34 = fractional part
Here, 0 = whole part and
.85 = point 85 = fractional part
Here, 1= whole part and
.40 = Point 40 = fractional part.
The decimal part starts with
tenth ( 1/10)
On the basis of place value we can read decimal numbers in following ways.
In whole part -->
3 = ones (unit )place
2 = tens place.
In fractional part
1 = tenth(1/10) place
1 = hundredth (1/100) place
2 = thousandth (1/1000)place
So it can be written in words as follows :
Twenty three point one hundred and twelve thousandth.
2) 5.06 = Five point six hundredth
3) 0.6 = Six tenth
4) 123.345 = One hundred twenty three point three hundred and forty five thousandth.
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