 Three Digit Addition: With Place Value Table

In this lesson, students learn how to add two three-digit numbers that require regrouping. The addition is illustrated in a Place Value Table along with the standard algorithm. When regrouping is required in the tens place or the hundreds place the ten that is made in either place is represented as a single block above the numbers that are added in that column. This corresponds to placing a 1 above the corresponding column in the standard algorithm.

In the problems in this lesson, the student must enter each digit in the sum, as well as the digits above the problem to indicate that a ten is made from ones in the ones place or from tens in the tens place. Each digit is evaluated separately.

Three Digit Addition: Without Place Value Table

In this lesson, students learn how to add two three-digit numbers that require regrouping using the standard algorithm without the aid of a Place Value Table. The student must enter each digit in the sum, as well as the digits above the problem to indicate that a ten is made from ten ones in the ones place or from ten tens in the tens place. Each digit in the answer, and a one indicating tens made in the tens place or hundreds place is evaluated separately.