Express 711
as a repeating decimal. Mark the cycle of repeating digits with a bar.
Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.
To express 711 as a repeating decimal, we divide 711 by 1000:
711 ÷ 1000 = 0.711
The decimal part of 0.711 doesn't repeat, so there is no cycle of repeating digits. Therefore, 711 as a decimal is 0.711.
To express 711 as a repeating decimal, we divide 711 by a power of 10.
Let's start by dividing 711 by 9 (which is 10 - 1):
711 ÷ 9 = 79 with a remainder of 6.
Now, we multiply the remainder (6) by 10 and divide by 9 again:
(6 × 10) ÷ 9 = 66 with a remainder of 6.
We continue this process until we obtain a repeating pattern.
In this case, the pattern repeats indefinitely with a digit of 6:
711 ÷ 9 = 79 remainder 6
(6 × 10) ÷ 9 = 66 remainder 6
(6 × 10) ÷ 9 = 66 remainder 6
So the repeating decimal representation of 711 is 79.6 with a repeating pattern of 6.