How do you express #0.0001/0.04020# as a decimal?
4 Answers
Explanation:
Take
Use the "move the decimal" rule. ie.
If the goal was to covert the decimal directly to fractions and then solve, in
Multiply numerator and denominator by
#1/402 = 0.0bar(0)2487562189054726368159203980099bar(5)#
Explanation:
To calculate
Assuming we want a decimal expansion of the quotient, let's use long division.
First write out the multiples of
#0:color(white)(XX000)0#
#1:color(white)(XX0)402#
#2:color(white)(XX0)804#
#3:color(white)(XX)1206#
#4:color(white)(XX)1608#
#5:color(white)(XX)2010#
#6:color(white)(XX)2412#
#7:color(white)(XX)2814#
#8:color(white)(XX)3216#
#9:color(white)(XX)3618#
Then our long division starts:
Write the dividend
Bring down another
Notice that with the running remainder having arrived at
#1/402 = 0.0bar(0)2487562189054726368159203980099bar(5)#
I want to capitalize on George C. answer and give my version of
Explanation:
have a look:
Just for fun I thought I would add a solution as well. I am going to considerably limit the number of decimal places!!
Explanation:
Given:
Multiply the numerator by
so
Multiply the denominator by
Putting this all together gives:
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write as:
Consider just the hundreds:
Do not worry about the remainder!
Now write:
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now write:
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
subtract the 804 from the 1000
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~
402 > 196 so put a decimal place to the right of the 2 and put a
so
So now we write:
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
352 < 402 so put
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So far we have 2.4. Applying the correction this becomes:
Look at the beginning to see where