Question

How do you round $435.738759458$ to $3$ decimal places?

Answer 1

Decimal point:

The decimal point separates the whole number from the fractional part.

Rounding $435.738759458$ to $3$ decimal.

The given number $435.738759458$ has nine digits after the decimal point.

Rounding to three decimal places, up to the thousandth place in decimal, means that the number should not have any digit from fourth place onwards.

Presently after $435.738$, the number has $759458$ from 4th place onwards. As the digits $759458$ are more than half i.e. $500000$, rounding them means the digit in the thousandth place would have to increase by one.

Hence, rounding $435.738759458$ to $3$ decimal places mean it becomes $435.739$.

Had the digits from fourth place onwards been less than $500000$, we would have rounded it to $435.738$.

Therefore, rounding $435.738759458$ to $3$ decimal places mean it becomes $435.739$.