Question

What is \[\$1.2833333\cdots\cdots\cdots\] rounded to the nearest cent?

Answer 1

Hint: In this type of question we have to use the concept of rounding to the nearest cent. We know that a cent is a hundredth of a dollar, so we have to round to the nearest hundredth. When we have to round money to the nearest cent, we have to look at the number to the right of the full cents. If it is greater than or equal to 5 then increase the cent by 1 and if the number is less than 5, keep the cents the same.

Complete step by step answer:
Now, here we have to round \[\$1.2833333\cdots\cdots\cdots\] to the nearest cent.
Here, we can observe that \[\$1.2833333\cdots\cdots\cdots\] has two parts, the dollar part to the left of decimal point and the cents part to the right of the decimal point:
\[\begin{align}
  & \Rightarrow Dollar:1 \\
 & \Rightarrow Cents:2833333 \\
\end{align}\]
Furthermore, we can divide the cents as:
\[2\] tenths of a dollar
\[8\] hundredths of a dollar
\[3\] thousandths of a dollar
Also we know that there are \[100\] cents in a dollar and rounding to the nearest cent means that we round such that we have two digits for cents as we can’t pay in fractional cents.
Now we observe thousandths of a dollar if it is less than five then, then simply remove the thousandth. As here the thousandths is \[3\] and it is less than \[5\] so we have to remove it.
Hence, \[\$1.2833333\cdots\cdots\cdots\] rounded to the nearest cent is \[\$1.28\].

Note: In this type of question students have to know about the parts of money and also about how to round it, either to the nearest cent, nearest dollar, or to the tens place. Students have to remember that, during rounding to the nearest cent, look at the number to the right of the full cent, if it is greater than or equal to 5 then increase the cent by 1 and if the number is less than 5, keep the cent the same.