What is the 96th digit in the decimal representation of 1/7?
thank u....
1 / 7 = 0.142857143
Since the digits repeat themselves after the sixth digit -- and 96 is evenly divisible by 6 -- I assume the 96th digit is 7.
1 / 7 = 0.142857143
The last digit (3) is rounded up. Be sure to read the first answer in the following:
http://answers.yahoo.com/question/index?qid=20080410021917AAOu5VC
Then you should be able to figure it out.
To find the 96th digit in the decimal representation of 1/7, we can divide 1 by 7 and examine the result.
One way to do this is by using long division. Here are the steps to perform long division to find the decimal representation of 1/7:
1/7 = 0.142857...
1. Start by dividing 1 by 7:
- The quotient is 0 (since 1 is smaller than 7)
- Place a decimal point after the 0 and add a zero after it: 0.
2. Multiply the remainder, which is 1, by 10 and divide by 7. The quotient becomes the next digit after the decimal point:
- 1 * 10 = 10
- 10 divided by 7 = 1 (with a remainder of 3)
3. Subtract the product from step 2 from the remainder of the previous step, and repeat the process until you reach the desired number of digits.
Continuing the process:
4. Multiply the remainder (3) by 10 and divide by 7:
- 3 * 10 = 30
- 30 divided by 7 = 4 (with a remainder of 2)
5. Multiply the remainder (2) by 10 and divide by 7:
- 2 * 10 = 20
- 20 divided by 7 = 2 (with a remainder of 6)
6. Multiply the remainder (6) by 10 and divide by 7:
- 6 * 10 = 60
- 60 divided by 7 = 8 (with a remainder of 4)
And so on, repeating steps 4 to 6 until you reach the desired number of decimal places.
Therefore, the 96th digit in the decimal representation of 1/7 is 4.