![]() We line up the digits of each number according to their place values. We will look at this example again, but this time we will use numbers to represent each digit and set out the calculation using the column addition method. When using column addition, the regrouping process is often called carrying as the extra digit is carried across to be added with the next column of digits. We regroup ten ones to make 1 group of ten or we can regroup ten groups of ten to make one group of one hundred. We use regrouping whenever the sum of the digits in each column of the column addition is larger than 9. Once the idea of regrouping is understood, column addition is best taught methodically with written digits. You can use counters or Dienes blocks to help teach this. When teaching regrouping, it is useful to introduce the concept visually as above. We have 4 groups of one hundred counters. Now that we have carried 1 hundred over to the hundreds column, we are left with 1 ten in the tens column.įinally, we look at the hundreds column. ![]() Therefore, we can regroup one hundred counters from the tens column and carry them over to the hundreds column. In the hundreds column, we can have groups of one hundred. We therefore need to regroup 100 counters to carry over to the hundreds column. We can’t have more than one digit in each place value column. We have a total of 9 counters in the units column. Now that we have lined up the digits of each number in their place value columns, we can add the digits in each column. This is shown by the one group of one hundred green counters in the hundreds column. These are shown by the seven groups of ten green counters in the tens column. The number 173 has 3 units, which are shown by the three green counters in the units column. It also has >2 hundreds, which are shown by the two groups of one hundred purple counters in the hundreds column. These are shown by the four groups of ten purple counters in the tens column. These are shown by the six purple counters in the units column. We will learn about regrouping in this lesson by considering some examples of addition involving regrouping. Regrouping is also used in subtraction, where it is sometimes known as borrowing. Carrying is the movement of a ten over to the next place value column. When teaching addition, some teachers use the word 'carrying' as well as the word 'regrouping'.Ĭarrying and regrouping mean the same in addition. Some examples of regrouping are replacing 10 ones with 1 group of ten, or 10 tens with 1 group of one hundred. When carrying out an addition, regrouping is often used to move a group of ten to the next place value column up. In maths, regrouping is the process of moving values between place value columns. We use the method of regrouping when more than one digit is produced after adding the digits in a place value column. The sum of each digit is written below, with one digit per box. ![]() To add numbers using the column addition method, line up the digits of each number above each other and add them separately. In this lesson we use the column addition method to add 3-digit numbers. ![]()
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