Introduction to Decimals
Decimals are the fractions with denominator 10,100,1000 and so on.
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In case of fractional numbers, we write them using numerators and denominators. But in decimal we use a decimal point.
Example :
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
whole part or
integral part ,
Whereas the number after the decimal point is called the
fractional part .
Example :
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 :
1) 123.34
Here, 123 = whole part and
.34 = Point 34 = fractional part
2) 0.85
Here, 0 = whole part and
.85 = point 85 = fractional part
3) 1.40
Here, 1= whole part and
.40 = Point 40 = fractional part.
Place value
The decimal part starts with
tenth ( 1/10) .
On the basis of place value we can read decimal numbers in following ways.
1) 23.112
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.
Introduction Decimals
• Decimal-Expansion
• Comparing-decimal
• Adding-Decimals
• Subtracting-Decimals
• Multiplying-Decimals
• Dividing-Decimals
• Decimals-fraction
Number System
7th grade math
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