Video Transcript
Convert one-seventh to a
decimal.
In this question, we are asked to
convert a fraction to a decimal. And whilst there are many ways to
do this, we will do so by using a calculator. We can either use the fraction
button and then type the digits one and seven into the numerator and denominator,
respectively. Or we could simply type in one
divided by seven. In either case, we proceed after
this by pressing the equals button. Finally, we press the button to
convert from the standard output form to a decimal, denoted SD.
The output on the calculator will
then look as follows. This means that the digits one,
four, two, eight, five, and seven are repeating. And as such, this is the decimal
0.142857 recurring. Alternative notation to writing a
dot above the first and last digit that repeat is to draw a bar from the first
repeating digit to the last as shown. Either of these are appropriate
ways to write the final answer. The fraction one-seventh is
equivalent to 0.142857 recurring.
