Express 713 as a repeating decimal. Mark the repeating digits with a bar.
Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.
(1 point)
713 as a repeating decimal is 0.713
To express 713 as a repeating decimal, we can manipulate it as follows:
1. Divide 713 by 1: 713 ÷ 1 = 713.
2. Multiply the quotient by 10: 713 × 10 = 7130.
3. Divide the new number (7130) by 9: 7130 ÷ 9 = 792 remainder 2.
Now, we have a remainder of 2 after dividing by 9. We can place this remainder (2) above the 0 in 7130 and divide it again by 9:
4. Multiply the remainder (2) by 10: 2 × 10 = 20.
5. Divide the new number (20) by 9: 20 ÷ 9 = 2 remainder 2.
We have another remainder of 2, so we can repeat steps 4 and 5:
6. Multiply the remainder (2) by 10: 2 × 10 = 20.
7. Divide the new number (20) by 9: 20 ÷ 9 = 2 remainder 2.
Since we have reached the same remainder (2) again, the repeating decimal pattern is 2. Therefore, the decimal representation of 713 as a repeating decimal is 713.2̅.