Answer:
[tex]52.232[/tex]
Step-by-step 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 [tex]5[/tex] (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 [tex]2\ (0.002)[/tex]
The next digit is [tex]3\ (0.0003)[/tex] which is less than [tex]5[/tex], so no change is needed to [tex]2[/tex]
therefore
the number rounded to three decimal places is
[tex]52.232[/tex]
