2.
•Savita and Shama were going to market to buy
some stationary item Savita have 5 rupees and 75
paise. Shama have 7 rupees and 50 paise.
Can we write it in a better way to make it easy
to speak and make other understand.
Yes, we can do it by writing 5 rupees 75 paise
as Rs. 5.75 and 7 rupees 50 paise as Rs. 7.50
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3.
DECIMAL
FRACTION- The fraction in which
the denominator are 10, 100, 1000, etc…,
are decimal fraction.
EXAMPLE- 3 , 5 , 48 , etc…, are decimal
fraction 10 100 1000
DECIMALS-
The numbers expressed in
decimal form are called decimal number or
simply decimal.
EXAMPLE- 52.0, 93.5, 3.6, etc…, are decimal.
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4.
LIKE AND UNLIKE DECIMALS
Like- Decimals having same number of
decimal places are called like decimals.
Example- 9.82, 5.70, 4.89 and 7.50 are like
decimals
UNLIKE- Decimals having different
numbers of decimal places are called unlike
decimals.
Example- 98.2, 49.70 and 5.489 are unlike
decimals
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5.
CONVERTING UNLIKE TO LIKE DECIMAL
Example- Convert 5.3, 7.19, 0.376, 84 into
like decimal
Solution- In the given number, the
maximum number of decimal places is 3.
So, we convert each number into 3 decimal
places by adding 0 in it.
5.3= 5.300, 7.19= 7.190, 0.376 will remain
same and 84= 84.000
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6.
Position Of Decimals
Hundred Tens
s
2
6
Ones
9
Previous
Decimal
point
.
Tenths
3
Next
Hundred Thousan
ths
dths
7
4
7.
PLACES
If we show units by block then one unit is one block, 2 units are
two blocks and so on. One block is divided into 10 equal parts
means each part is 1 of unit, 2 parts show 2 tenths, and 5 parts
10
will show 5 tenths and so on. A combination of 2 blocks and 3
parts will be recorded as:
1 block
[10 parts]
2.3
1 block
[10 parts]
3 parts
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8.
In tabular form we write the shaded portion as numerator
and total boxes as denominator.
O O O O O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O = shaded
50
100
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9.
REPRESENTING DECIMALS ON
NUMBER LINE
Lets represent 0.6 on number line. We all know that
0.6 is more than 0 but less than 1 and it have 6 tenths
so we mark it after leaving 5 places as shown below :
0
0.6
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1
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2
10.
COMPARING DECIMALS
Compare 63.84 and 57.98
The given decimal are 63.84 and 57.98
Lets us compare their whole number parts
63 > 57
63.84 > 57.98
Compare 98.70 and 98.31
The given number have same whole number so
we compare tenths and hundredths.
98.70 > 98.30
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11.
MIXED FRACTION AS DECIMALS
EXAMPLE: Express the number 2 1 as decimals.
10
SOLUTION : 2 1 = 2+ 1 = 2+0.1 = 2.1
10
10
FRACTION AS DECIMALS
Give a point in the given no. as given zero’s in denominator.
EXAMPLE: Convert 2103 into decimal.
100
In 2103, 100 have 2 zero so point will be placed after two places in nominator = 21.03.
100
EXAMPLE: Convert 29 into decimal.
7.25
4
4 )29.00(
= 7.25
-28
10
-8
20
-20
0
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12.
COVERTING A DECIMAL IN A FRACTION
•Convert 0.625 in fraction.
5
25
•0.625 = 625 = 5
100040 8
8
•Convert .075 in fraction.
3
•0.625 = 75 = 3 .
1000 40 40
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14.
ADDITION OF DECIMALS
Add 27, 39.70, 3.096, 5.75.
Convert the given decimals into like decimals.
We get: 27.000, 39.700, 3.096 and 5.750.
Now write the addends in a column.
27.000
39.700
3.096
5.750
75.546
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We get = 75.546.
15.
SUBTRACTION OF DECIMALS
Subtract 27 from 39.70
Convert the given decimals into like decimals.
We get: 27.000, 39.700
Now write the in a column. Write smaller no. under
large no.
39.700
27.000
12.700
We get =12.700
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16.
MULTIPLICATION OF DECIMALS
Multiply 50.05 from 3.5
Write in column.
Now do the sum.
Now add places in both the number.
50.05
3.5
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25.525
17.
DIVISION IN DECIMALS
Divide 7.8 from 2.
Write in dividing form.
Now divide it.
3.9
2)7.8(
-6
18
-18
0
= 3.9
Press the buttons
for Questions
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18.
Among 2.6, 2.006, 2.66 and 2.08 the largest
number is ?
2.66
2.6
2.006
2.08
Question 2
19.
1.1 – 0.3 ?
0.08
8
0.8
None of these
Question 3
20.
Add : 67.25, 249, 8.785, 9.800 and 0.230 .
353.055
653.035
333.565
335.065
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