Susan B. answered • 11/03/14
Tutor
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Using Natural Learning Styles to Discover the Joy of Learning
Hi Marcia,
I will not solve this for you, but I will help you so that you can solve it. :)
When you solve this equation through long division, you do not have to keep going once you have 3 digits (numerals) to the right of the decimal point. Each digit after the decimal point is in a "decimal place." Two decimal places just means two digits after the decimal point. Easy, huh?
Work carefully. Since you will not be solving the entire problem, you won't be able to check your work by multiplying your answer by the divisor. So check your multiplication and subtraction carefully as you work.
Here is an example:
Find the quotient to two decimal places.
7956 ÷ 14 =
(A quotient is the answer when you divide.)
568.285
14 | 7956
70 14 * 5 = 70
95
84 14 * 6 = 84
116
112 14 * 8 = 112
40
28 14 * 2 = 28
120
112 14 * 8 = 112
80
70 14 * 5 = 70
10 As you can tell, there is more of this problem to solve.
But we already have 3 digits to the right of the decimal point, so we can stop dividing. (When working a problem like this, remember to check your multiplication and subtraction as you work.)
Now we take our quotient, and round it off to where it only has 2 digits after the decimal point. To do this, we use the 3rd digit.
568.285
If the 3rd digit after the decimal point is 5 or greater, we round up.
If the 3rd digit after the decimal point is 4 or less, we round down.
568.285 (Since the 3rd digit after the decimal point is a 5, we will round up.)
To round up, add a 1 to the 2nd digit and drop the 3rd digit, like this:
568.285
+ 1
568.29
So, we found the quotient to two decimal places.
7956 ÷ 14 = 568.29
Hopefully this will help you to solve your problem above. They are very similar. Just follow this example. :)
