How Do You Round a Number to the Place Value of an Underlined Digit?

Round a number to the place value of an underlined digit by leaving the underlined digit unchanged or increasing it by one and then changing all the digits to the right of it into zeros. Determine if the underlined digit should be increased or left alone by focusing on the digit directly to its right.

The first step is to determine whether the digit located directly to the right of the one that is underlined is less than five, or is greater than or equal to five. If that digit is less than five, leave the underlined digit as it is. If the digit is greater than or equal to five, increase the underlined digit by one. In either case, change all numerals to the right of the underlined digit into zeros.

For example, if the numeral three was underlined in the number 13,579, the focus would be placed on the digit directly to its right. According to the rules for rounding, because the next digit to the right of the three is equal to five, the digit three is increased by one, which changes it into the numeral four. The digits five, seven and nine are all converted into zeros so that the rounded number is 14,000.

On the other hand, in the case of 13,279, the digit three would remain unchanged because the numeral directly to its right is the number two, which is less than five. However, the digits two, seven and nine are still converted into zeros so that the rounded number is 13,000.