Round to the Nearest Thousandth

Round to the Nearest Thousandth Rounding numbers coverts large numbers and decimal numbers to simpler forms which are then useful to solve or express in a given question. Rounding to the tenths place is rounding of a decimal number to the nearest one decimal space. Rounding to the hundredths place is rounding a decimal number to the nearest two decimal spaces. Rounding to the thousandths place is rounding a decimal number to the nearest three decimal spaces and so on. This concept is commonly used in many word problem and different calculations. Example 1: Round the following numbers to the nearest thousandth. a) 12.456712. b) 45.3214. Solution: Given are the decimal numbers 12.456712 and 45.3214. a) The decimal number 12.456712 has 6 decimal spaces the number in the thousandth space is 6. For rounding the thousandth space the number right to 6 needs to be considered. Since number 7 is greater than 5. Rounding to the thousandth space gives the value 12.457. b) The decimal number 45.3214 has 4 decimal spaces the number in the thousandth space is 1. For rounding the thousandth space the number right to 1 needs to be considered. Since number 4 is smaller than 5. Rounding to the thousandth space gives the value 45.321. Example 2: Round the decimal number 0.3678 to the nearest thousandth. Solution: Given are the decimal numbers 0.3678. The decimal number 0.3678 has 4 decimal spaces the number in the thousandth space is 7. For rounding the thousandth space the number right to 7 needs to be considered. Since number 8 is greater than 5. Rounding to the thousandth space gives the value 0.368.