Question

What is \[551.26625\] rounded to the nearest hundredth?

Answer 1

Hint: To round of a value we need to know the rules of rounding off. As we can easily round off the smaller value but when it is asked for some long then it becomes complicated for us. So these rules lookout for them and make it easy to round small or large values. We just need to go through the rules and follow them while rounding off a value.

Complete step by step solution:
Rounding Rules for Whole Numbers
Rounding rules for whole numbers is as follows:
1. To get an accurate final result, always choose the smaller place value.
2. Look for the next smaller place which is towards the right of the number that is being rounded off to. For example, if you are rounding off a digit from the hundredth place, look for a digit in the tens place.
3. If the digit in the smallest place is less than 5, then the digit is left untouched. Any number of digits after that number becomes zero and this is known as rounding down.
4. If the digit in the smallest place is greater than or equal to 5, then the digit is added with +1. Any digits after that number become zero and this is known as rounding up.
Rounding Rules for Decimal Numbers
Rounding rules for decimal numbers are as follows:
1. Determine the rounding digit and look at its right-hand side.
2. If the digits at the right-hand side are less than 5, consider them as equal to zero.
3. If the digits at the right-hand side are greater than or equal to 5, then add +1 to that digit and consider all other digits as zero.
So now we had to find the nearest hundredth round off for \[551.26625\]
So the hundred places have value 5.
A place less than the hundredth place i.e. tens place also has a value 5, so it seems to look like rule 4th we had above, so now we will increase the value by +1 and make all other lower place value 0 (as mentioned in rule 4th ).
So it will be $560.00000$.
Hence the round to the nearest hundredth of \[551.26625\] is $560.00000$.

Note: These rules will be valid every time we need to round off the digits whether it is small, large decimal or whole number digit. We just need to remember these rules and follow them accordingly.