Vertical Addition and Subtraction without Regrouping
Vertical addition without regrouping.
The sum is less than 10, so no regrouping (trading) to the tens is required.
Vertical subtraction without regrouping.
Fewer tens are being taken away, so no regrouping (trading) is required.
Vertical Addition and Subtraction with Regrouping
Vertical addition with regrouping.
The addition will involve regrouping (trading) when two digits in the column make more than ten. 4 ones + 8 ones = 12 ones We do not place more than 9 in a column. 2 = 1 ten and 2 ones, then 1 ten goes to the tens column and 2 ones stays in its column. 1 ten + 3 tens + 1 ten = 5 tens. All tens in its column now are added together.
Vertical subtraction with regrouping.
Subtraction with regrouping will appear when there are more ones, tens or hundreds in the number being taken away. Students will trade digits from larger column (tens will trade with hundreds, ones will trade with tens). 1 ones – 3 ones = … We can not take away 3 from 1, so we need to regroup the tens column. 11 ones – 3 ones = 8 ones, while 6 tens – 1 tens = 5 tens.