Rounding to the nearest hundredth is a common way of expressing decimal numbers with a limited number of significant figures. In this case, rounding 6.811 to the nearest hundredth means expressing it as 6.81. This is done by looking at the hundredths place, which is the tenths column to the right of the decimal point. In this case, the number in the hundredths place is 1. Since this is less than 5, the number is rounded down to 6.81.

When rounding to the nearest hundredth, any decimal place to the right of the hundredths place is dropped. For example, if the number is 6.8113, the 3 is dropped and the number is rounded to 6.81. If the number is 6.8115, the 5 is dropped and the number is rounded to 6.81. This shows how important the hundredths place is in rounding to the nearest hundredth.

Rounding to the nearest hundredth is used in many different situations. In mathematics, it is used to approximate values and make calculations easier. In science, it is used to report measurements more precisely. In everyday life, it is used to make calculations and estimates easier. For example, when calculating the cost of an item in a store, the price is often rounded to the nearest hundredth.

When rounding decimal numbers, it is important to understand the place value system. The place value system allows us to identify which digits are significant and which digits should be dropped. This helps us to understand what numbers to round and how to round them. It is also important to remember the rule for rounding, which is to look at the number in the hundredths place and round up if it is 5 or more and round down if it is less than 5.

In conclusion, 6.811 rounded to the nearest hundredth is 6.81. This is done by looking at the hundredths place, which is the tenths column to the right of the decimal point. When rounding to the nearest hundredth, any decimal place to the right of the hundredths place is dropped. Rounding to the nearest hundredth is used in many different situations, such as mathematics, science, and everyday life. It is important to understand the place value system and the rule for rounding in order to correctly round decimal numbers.

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