Question

Round 52.23 repeated to three decimal places

Answer 1

`52.232`

Explanation:

we know that

A repeating number is a decimal number with a digit (or group of digits) that repeats forever

In this problem we have

52.232323...

The digits 23 repeat forever

Round to three decimal places

Remember that

To Round a number

a) Decide which is the last digit to keep

b) Leave it the same if the next digit is less than
`5` (this is called rounding down)

c) But increase it by if the next digit is or more (this is called rounding up)

In this problem we have

52.2323

We want to keep the digit
`2\ (0.002)`

The next digit is
`3\ (0.0003)` which is less than
`5`, so no change is needed to
`2`

therefore

the number rounded to three decimal places is

`52.232`