Question

Convert 5/8 to a decimal number. Round to the nearest hundredth

Answer 1

Given:

`(5)/(8)`

Required:

We need to convert the given into a decimal number.

Step-by-step explanation:

8 is the divisor and 5 is the dividend.

Use the long division to divide 5 b 8.

5 is greater than 8 so 8 is not divided by 5.

Put a dot in the quotient place and add zero near 5 to make 50.

Now 50 is greater than 8.

`Use\text{ }8*6=50`

Put 6 in the quotient, 48 below 50.

Add zero near 2, we get 20.

`Use\text{ }8*2=16.`

Put 2 in the quotient, 16 below 20.

Add zero near 4, we get 40.

`Use\text{ }8*5=40.`

Put 5 in the quotient, 40 below 40.

The decimal number is 0.625.

The number in the thousandth place is 5 so add one to the number which is in the hundredth place.

`(5)/(8)-0.63`

Final answer:

`(5)/(8)-0.63`