Dividing Decimals

Dividing Decimals

How do we divide when there are decimal points involved ?
well, it is easier to divide by a whole number … then breed by 10 until it is !But we must do the same thing to both numbers in the division.

Example: 15 divided by 0.2

When we multiply the 0.2 by 10 we get a unharmed number :
0.2 × 10 = 2

But we must also do it to the 15 :
15 × 10 = 150
then 15 ÷ 0.2 has become 150 ÷ 2 ( both numbers are 10 times larger ) :
150 ÷ 2 = 75
And so the answer is :
15 ÷ 0.2 = 75

The number we divide by is called the divisor .
To divide decimal numbers :
Multiply the divisor by as many 10 ‘s as we need, until it is a whole act.
Remember to multiply the dividend by the same number of 10 ‘s .
Multiplying by 10 is easy, we merely shift one space over like this :

Example: Divide 6.4 by 0.4

Let us move one distance for both :

move 1
6.4 right arrow 64
0.4 right arrow 4
move 1

6.40.4 is exactly the same as 644
as we did the move for both numbers .
immediately we can calculate :
64 4 = 16
So the answer is :
6.4 0.4 = 16

Are there very 16 lots of 0.4 in 6.4 ? Let ‘s determine :
decimals divide 64 04

For harder questions we may need to use long division :

Example: Divide 0.539 by 0.11

first we need to make the be active doubly to make 0.11 into a unharmed number :

move 2 spaces
0.539 right arrow 5.39 right arrow 53.9
0.11 right arrow 1.1 right arrow 11
move 2 spaces

0.5390.11 is exactly the same as 53.911

But what about 53.9 ? It distillery has a decimal distributor point .
well, we can ignore the decimal point in the dividend so retentive as we remember to put it back later .
first we do the calculation without the decimal fraction luff :

049
11 ) 539
0
53
44
99
99
0

now put the decimal fraction point in the solution directly above the decimal point in the dividend :

04.9
11 ) 53.9

The answer is 4.9
Another exemplar :

Example: Divide 9.1 by 7

The divisor ( 7 ) is already a whole total, so no need for any moves .
now, ignore the decimal point in the dividend and function hanker division :

13
7 ) 91
7
21
21
0

Put the decimal point in the answer directly above the decimal point in the dividend :

1.3
7 ) 9.1

The answer is 1.3

Animations

Have a expect at these Decimal Division Animations for far help.

Lastly …

As a final see we can put our “ coarse sense ” hat on and think “ is that the correct size ? “, because we do n’t want to pay ten-spot times besides much for anything, nor do we want to get only one-tenth of what we need !

965, 1351,966, 1352,967, 1353, 3467, 3468, 3469, 3470

informant : https://epicentreconcerts.org
Category : How To

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