Question

How do you round $58.8136$ to $2$ decimal place?

Answer 1

Hint: Here we are going to rounding to decimal places. To round a decimal place looks at the first digit after the decimal point if rounding to one decimal place or the second digit for two decimal places.
Draw a vertical line to the right of the place value digit that is required. Then look at the next digit.
If it is $5$ or more, increase the previous digit by one
If it is $4$ or less, keep the previous digit the some
And remove any numbers to the right of the line.

Complete step by step answer:
We can round decimals to a certain accuracy or number of decimal places. This is used to make calculation easier to do and results easier to understand, when exact values are not too important. First we will need to remember the place values:

$5$	\[8\]	.	\[8\]	\[1\]	\[3\]	\[6\]
Tens	Ones		Tenths	Hundredths	Thousandths	Ten thousands

To round a number to the nearest tenth, look at the next place value to the right (the hundredths). If it is $4$ or less, just remove all the digits to the right. If it is $5$ or more, add $1$ to the digit in the tenths place, and then remove all the digits to the right.
Here the hundredths digit is \[1\], so we would get $58.8$
To round a number to the nearest hundredth, look at the next place value to the right (the thousandths this time). Same deal: if it is $4$ or less, just remove all the digits to the right. If it is $5$ or more, add $1$ to the digit in the tenths place, and then remove all the digits to the right.
Here the thousandths digit is an$3$, so we would get $58.81$

Note: In general to round a certain place value, look at the digit to the right of that place value and make a decision.
Decimals can be written in the form of expanded as well as wording form. Also, it is based on the power of 10 in its preceding one.