Percentage of a given quantity

[Witcher]

Summary:: Working on percent word problem.

I am doing the division by hand instead of a calculator. I can’t get the correct answer.
The question is number 16

here is my work.

[Moderator's note: Moved from a technical forum and thus no template.]

 

[Mark44]

Summary:: Working on percent word problem.

I am doing the division by hand instead of a calculator. I can’t get the correct answer.
The question is number 16

here is my work.

Your division is wrong. The first two digits of the quotient are .10 ...

 

[Witcher]

84 goes into 90 one time.
90-84=6.
I add two zeros on Six making it six hundred.
84 Goes into 600 seven times

what am i doing wrong?
If it is cause i am not using 900 instead of 90.
Why would i us 900 when 90 is large enough?

 

[DaveC426913]

I add two zeros on Six making it six hundred.

This is where you're going wrong.
Yes, you add two zeroes to get 600 - but what should those two zeroes do to the quotient?You could get the right answer by doing even longer division (without skipping the step).

Add one zero.
60 divided by 84 is what?
Write that into the quotient.
Now add another zero.

 

[bekkilyn]

84 goes into 90 one time.
90-84=6.
I add two zeros on Six making it six hundred.
84 Goes into 600 seven times

what am i doing wrong?
If it is cause i am not using 900 instead of 90.
Why would i us 900 when 90 is large enough?

You skipped a step. 84 goes into 90 one time like you stated. Then add *one* zero and you will get 60. How many times does 84 go into 60? 84 goes into 60 zero times, so you now have 0.10.

Since you still have more division to do, you *now* bring down the second zero onto the 60 to get 600 and then as you stated above, see that 84 goes into 600 seven times. Now you have 0.107.

You can't just bring down two zeros without doing the division for both and putting something up on top for both.

 

[DaveC426913]

Since you still have more division to do, you *now* bring down the second zero onto the 60 to get 600 and then as you stated above, see that 84 goes into 600 seven times. Now you have 0.107.

Here at PF we try not to give the answers to members, we try to nudge them toward finding the answer themselves.

 

[Witcher]

i appreciate your help. I see that there is a hidden rule when adding two zeros.

 

[PeroK]

i appreciate your help. I see that there is a hidden rule when adding two zeros.

There's no hidden rule. You always bring down the digits one at a time, whether those digits are zeros are not. You never bring down two or more digits at a time.

Here's a puzzle, if you like. Try dividing $7$ into $75$. Is the answer the same as problem 16?

 

[Witcher]

ok i’ll let you know when i got my answer...