Question

How do I round $$56.479$$ cents to the nearest cents.

Answer 1

Hint:In this question, we will use the basic rule of rounding off the decimal places. Here, a decimal cent number is provided, and the nearest cent value is asked, so it will be decided based on the digits coming after the decimal point.

Complete step by step answer:
In this question, a decimal number $$56.479$$ cents are given which we have to convert to the nearest cents.
In this question we will use the basic rule of rounding as given below:
Identify which place value you’re rounding to. The smaller the place value, the more accurate the last word result’s going to be.
Look at the next smallest place value, the digit to the right of the place value you are rounding to. For example, if you would like to round to the closest ten, you’d check out that place.
If the digit within the next smallest place value is a smaller amount than five$$\left(0,1,2,3or4\right)$$, you leave the digit you want to round to as- is. Any digits then the number (including subsequent smallest place value you simply looked at) become zeros or drop- off if they are located after the percentage point. This is often called rounding down.
If the next smallest number place value is greater than or equal to five $$\left(5,6,7,8or9\right)$$, if you increase the value of the digit you are rounding to by one $$\left(+1\right)$$. Just like before, any remaining digits before the percentage point become zeros, and any that are after the percentage point are dropped. This is called rounding up.
We have $$56cents+0.479$$ so, the ‘cut-off’ point is the digit that comes before the decimal point.
The number is $$56.479$$. Then, we look at the first digit only that is immediate to the right of the cutoff point. In this case, it is four.
This is the rule, if this digit is less than $$5$$, we do not change the digit which comes before the decimal point, and if the digit is $$5$$ or more than $$5$$, we increase the digit which comes before the decimal point by $$\left(+1\right)$$.
Hence, the digit $$4$$ is less than $$5$$, so we do not change the digit which comes before the decimal and remove the digits which come after the decimal point.

Therefore, the nearest cent value is $$56$$ cents.

Note: As we know that the digit which is immediately right to the cutoff point and this digit is less than $$5$$, we do not change the digit which comes before the decimal point. The digit which is immediately right to the cutoff point and this digit is $$5$$ or more than $$5$$, we increase the digit which comes before the decimal point by one.