Question

how would you write 77.7ovdrbar% as a decimal? Set that decimal equal to x. What digit or digits repeat

Answer 1

When changing a percent to a decimal move the decimal already there over 2 spaces to the left. So 77.7% would be .777 in decimal form.

Answer 2

`0.777=0.\overline{7}`

Explanation:

We are asked to write 77.7% as a decimal.

We know that percent means per hundred.

To write 77.7% as decimal, we will divide 77.7 by 100 as:

`77.7\%=(77.7)/(100)`

Move decimal to left by two digits.

`77.7\%=(77.7)/(100)=0.777`

Let us set 0.777 equal to x as:

`x=0.777`

We can see that our decimal has three 7 digits after decimal, therefore, 1 digit is repeating after decimal.