Rounding

Rounding

 

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Math problems will often ask you to round numbers to a certain place value. Rounding numbers makes them less exact but easier to manage. The digit in the place value to which a number is being rounded is called the rounding digit.


The rules for rounding are very simple. When the digit to the right of the rounding digit is five or more, the rounding digit is rounded up. This means that the rounding digit is raised by one and all of the numbers to the right of the rounding digit become zeros. So, for example, the numbers 65, 66, 67, 68, and 69 will all round up to 70 when they are rounded to the nearest ten.


If the digit to the right of the rounding digit is four or fewer, however, the rounding digit remains the same and all of the digits to the right of the digit become zeros. As an example, the numbers 60, 61, 62, 63, and 64 will all round down to 60 when they are rounded to the nearest ten.


Pay close attention to the place value when you are rounding, because rounding to the wrong place value can produce a very different number. For instance, the number 7062 is 7060 when rounded to the nearest ten, 7100 when rounded to the nearest hundred, and 7000 when rounded to the nearest thousand.


The rules for rounding do not change when you are working on the right side of a decimal point. For instance, the number 0.056 is 0.6 when rounded to the nearest hundredth and 0.1 when rounded to the nearest tenth.