Explain the steps needed to round a decimal number and compa

Explain the steps needed to round a decimal number and compare it to rounding a whole number. Provide an example of rounding both a decimal and whole number during your comparison.

Prealgebra Fifth Edition Margaret L. Lial American River College Diana L. Hestwood Minneapolis Community and Technical College

Solution

LEts say we have to round a decimal to 4 decimal places.

What we do is when we get the answer, we consider upto 5 decimal places.
Now the fifth decimal place will help us in rounding off.
If the 5th decimal place is less than 5, keep the 4th decimal place value as it is.
If the 5th decimal place is more than 5, then increase thr 4th decimal place by 1

For example :
4.23456 would be 4.2346
But 4.23454 would be 4.2345

If the 5th decimal place is exactly 5, then consider the 6th decimal place.

For example :
4.234556 would be 4.2346
But 4.234553 would be 4.2345 itself

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Rounding a whole number :

Lets say we have to round a whole number to the nearest ten.

So, if our answer was 37.something, we\'d round that as 40

But if it were 33.something, wed round that off as 30

Rounding to the nearest hundred is also the same

If we had 971, we round that as 1000

But 941 would be rounded as 900