How do you write 3/7 as a terminating or repeating decimal?

Dowqueuestbew1j

Dowqueuestbew1j

Answered

2022-01-17

How do you write 3/7 as a terminating or repeating decimal?

Answer & Explanation

rodclassique4r

rodclassique4r

Expert

2022-01-18Added 37 answers

There are several formats for indicating a repeating decimal.
(You may want to check the form your instructor likes).
37 expressed as a decimal fraction is a repeating decimal with a fairly long (7 digit) pattern before repeating (you can verify this by long division.
One form of expressing this repeating pattern is
37=0.428571[428571]
macalpinee3

macalpinee3

Expert

2022-01-19Added 29 answers

Just do a manual long division of 3 by 7. After 6 decimals the step reminder is 3 and so the sequence repeats.
(Is manual long division still taught in schools? Or do calculators rule?)
BTW, 1/7 and it’s multiples form a pretty, circular pattern.
17=0.142857 reccuring
27=0.285714 recurring
37=0.428571 reccurring
47=0.571428 recurring
57=0.714285 reccurring
67=0.857142 reccurring.
(77=0.999999 reccurring=1)
alenahelenash

alenahelenash

Expert

2022-01-24Added 366 answers

7 is greater as 3 so the first digit of the decimals is zero the remainder is 3 and we add comma to the result and a 0 to the 3, now 7 in 30 is 4 and 2 remainder, 207=2R6,607=8R4,407=5R5,507=7R1,107=1R3, so 37=0.4285714285714...

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?