CLASS-6
DECIMAL NUMBERS
DECIMAL
The numbers which are written in Decimal form are called Decimal Numbers. The numbers which are mentioned below are called Decimal numbers –
12.254, 7.024, 56.34, 48.375, 1257.23, 89.0008 are all decimal numbers
You would wish to know that, every Decimal Number has two parts -
1) Whole Number part
2) Decimal Number part
Both of these parts together make Decimal Numbers and these two parts are separated by a dot ‘.’ and this dot ‘.’ Is called Decimal Point.
In a decimal number system, the 1) Whole Number part is to be placed on the left side of the Decimal Point and 2) Decimal Number part is to be placed on the right side of the Decimal Point.
Absence of any of the part 1) Whole Number or 2) Decimal Numbers is denoted or express by ‘0’ Zero. For example, .234 can be written as 0.234 and 52 can be written as 52.0, the value of ‘0’ Zero just before or after the decimal Point are valueless but if the position of zero is between the decimal point and numeric digit then obviously the value of ‘0’ Zero is there, for example, 20.12, 47.05, 23.008
DECIMALS –
The fractions in which the denominators are 10, 100, 1000, etc., are known as decimal fraction…….
For example, 5 35 234 1257
------- , -------, --------, ---------
10 100 1000 10000
TENTHS (DECIMAL FRACTION WITH 10 AS DENOMINATOR)
1
It should be known by us that, ------- represents the fractional
10
number one-tenth, we will write ·1 or 0·1, read as Decimal one or Point one.
2
It should be known by us that, ------- represents the fractional
10
number two-tenth, we will write ·2 or 0·2, read as Decimal two or Point two.
3
It should be known by us that, ------- represents fractional
10
number three-tenth, we will write ·3 or 0·3, read as Decimal three or Point three.
4
It should be known by us that, ------- represents fractional
10
number four-tenth, we will write ·4 or 0·4, read as Decimal four or Point four.
5
It should be known by us that, ------- represents fractional
10
number five-tenth, we will write ·5 or 0·5, read as Decimal five or Point five.
6
It should be known by us that, ------- represents fractional
10
number six-tenth, we will write ·6 or 0·6, read as Decimal Six or Point Six.
7
It should be known by us that, ------- represents fractional
10
number seven-tenth, we will write ·7 or 0·7, read as Decimal Seven or Point Seven.
8
It should be known by us that, ------- represents fractional
10
number eight-tenth, we will write ·8 or 0·8, read as Decimal eight or Point eight.
9
It should be known by us that, ------- represents fractional
10
number nine-tenth, we will write ·9 or 0·9, read as Decimal nine or Point nine.
HUNDREDTHS (DECIMAL FRACTION WITH 100 AS DENOMINATOR)
It should be known by us that, 1 / 100 represent one hundredths and denote hundredths by 2 digits after the decimal point
It should be known by us that, 1 / 100 represents the fractional number one-hundredth, we can write ·01 or 0·01, read as Decimal zero one or Point zero one.
It should be known by us that, 3 / 100 represents the fractional number three-hundredth, we can write ·03 or 0·03, read as Decimal zero-three or Point zero three.
It should be known by us that, 4 / 100 represents fractional number four-hundredth, we can write ·04 or 0.04, read as Decimal zero four or Point zero four.
It should be known by us that, 7 / 100 represents fractional number seven-hundredth, we can write ·07 or 0.07, read as Decimal zero seven or Point zero seven.
It should be known by us that, 9 / 100 represents fractional number nine-hundredth, we can write ·09 or 0.09, read as Decimal zero nine or Point zero nine.
It should be known by us that, 25 / 100 represents fractional number twenty five-hundredth, we can write ·25 or 0.25, read as Decimal twenty-five or Point twenty-five.
It should be known by us that,265 / 100 represents fractional number two one sixty five hundredth, we can write 2·65, read as two Ones Decimal sixtyfive or two Point sixty-five.
THOUSANDTHS (DECIMAL FRACTION WITH 1000 AS DENOMINATOR)
It has been known by us that, 1 / 1000 represent one thousandths and denote thousandths by 3 digits after the decimal point
It has been known by us that, 5 / 1000 represents a fractional number five-thousandths, we can write ·005 or 0·005, read as Decimal zero zero five or Point zero zero five.
It has been known by us that, 8 / 1000 represents a fractional number eight-thousandths, we can write ·008 or 0·008, read as Decimal zero-zero eight or Point zero zero eight.
It has been known by us that, 15 / 1000 represents a fractional number fifteenth-thousandths, we can write ·015 or 0.015, read as Decimal zero one five or Point zero one five.
It has been known by us that, 86 / 1000 represents a fractional number eighty six-thousandths, we can write ·086 or 0.086, read as Decimal zero eight six or Point zero eight six.
It has been known by us that, 375 / 1000 represents fractional number three hundred seventy five-thousandths, we can write ·375 or 0.375, read as Decimal three seven five or Point three seven five.
There is an of decimal numbers format is given below for better understand.
T-Th Th H Ten Ones .Tenths Hundredths Thousandths Ten-Thousandths
10,000 1,000 100 10 1 1/10 1/100 1/1000 1/10000