Page 27 - SM inner class 7.cdr

Place dividend and divisor in long division Ex am ple 7. Di vide 2356.78 by 100.
method, as shown below So lu tion : By di vid ing 2356.78 by 100 we get:
5 0.135
.
.
¸
235678 100 = 235678
Since fractional part of decimal in dividend is Now compare the dividend and the quotient
zero, so we will write zero at ones place in Here again, you can see that digits in dividend
quotient and then place decimal point; as and the quotient are same. And the difference
shown below: is only that decimal point is shifted to the left
0.
by two places.
5 0.135
0 Ex am ple 8. 4008 400. ¸

Now, divide in simple way and we get: So lu tion : 4008 400. ¸
0.027 4008
.
=
5 0.135 400
0 4008
.
13 =
10 4 ( ´100)
35 1
æ4008.
35 = ç ö
÷ ´
0 è 4 ø 100
0.135 ÷ 5 = 0.027 æ 1 ö 100.2
.
=1002 ´ ç ÷
è100 ø
Ex am ple 5. Di vide 12.5 by 5. 4 400.8
–4
.
So lu tion : we get: = 100 2 0008
2.5 100 –8
5 12.5 = 1.002 0
10
25 Therefore, 4008 400 1002. ¸ = .
25 3. Division of a decimal by another
0
Decimal
125 5 = 25
¸
.
.
Ex am ple 9. Cal cu late 4 2625. ¸ 005
.
2. Division of a decimal by 10, 100, 1000 etc.
So lu tion : 4 2625. ¸ 005
.
When a decimal is divided by 10 or 100 or 1000
We needed to move the decimal point 2 places
or 10000 & so on … The dividend and the
to the right so we could divide by a whole
quotient remains same and decimal point
number.
shifts to the left by as many number of places 4 2625
.
as there are number of zero(s) in the divisor. =
005
.
Let's take some examples.
(Move the decimal point by 2 places to the
Ex am ple 6. Di vide 2356.78 by 10
right)
So lu tion : Di vide 2356.78 by 10 and we get:
Moving the decimal point 2 places to right is
235678 10 = 235678 100
¸
.
.
the same as multiplying by .
Now compare the dividend and the quotient: 100
.
You can see that digits in dividend and the = 42625 (Divide by 5)
quotient are same. And the difference is only 5
that decimal point is shifted to the left by one = 85 25
.
place.
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Mathematics In Focus - 7