No. of decimal places

Decimal approximation

Fractional Approximation m/n

Period na

1

1.6

16/10

10a

2

1.62

162/100

100a

3

1.618

1618/1000

1000a

4

1.6180

16180/10⁴

10⁴a

5

1.61803

161803/10⁵

10⁵a

6

1.618034

1618034/10⁶

10⁶a

7

1.6180340

16180340/10⁷

10⁷a

8

1.61803399

161803399/10⁸

10⁸a