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
Reading: Dividing Decimals
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 | 64 | |
0.4 | 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 :
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 | 5.39 | 53.9 | ||
0.11 | 1.1 | 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.
Read more: How to Tie a Tie: 7 Knots for All Occasions
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