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Addition with Regrouping

Addition with Regrouping. With Base Ten Blocks. Addition. Addition is the combining of groups. The two numbers added together are called addends . The answer to an addition problem is the sum. 2 3 8 + 4 7. Addition. Two hundred thirty-eight combined with forty-seven.

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Addition with Regrouping

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  1. Addition with Regrouping With Base Ten Blocks

  2. Addition • Addition is the combining of groups. • The two numbers added together are called addends. • The answer to an addition problem is the sum. 2 3 8 + 4 7

  3. Addition Two hundred thirty-eight combined with forty-seven Each row of digits must be added separately Ones 2 3 8 + 4 7 I must add the ones digits first: 8 + 7

  4. Addition This block represents numbers in the one’s place. It is also called a unit. 2 3 8 + 4 7 Let’s start by adding the ones.

  5. Adding with Base Ten Blocks Ones 2 3 8 + 4 7 2 3 8 + 4 7 2 3 8 + 4 7

  6. Adding with Base Ten Blocks Ones 2 3 8 + 4 7 We can regroup, or exchange, 10 ones for a group of ten. 15 ⇨ (10 + 5) We can make 1 group of ten and have 5 ones left over. 8 ones + 7 ones 15 ones 15 is a two digit number. You can’t put more than one digit in a place. 15

  7. Adding with Base Ten Blocks Ones 2 3 8 + 4 7 This block represents numbers in the ten’s place. It is also called a rod. Regroup the 10 ones to make 1 ten.

  8. Adding with Base Ten Blocks Ones • Record the 5 ones in the ones column. • Regroup the 1 group of ten by adding it to the tens column. 1 2 3 8 + 4 7 5

  9. Adding with Base Ten Blocks Tens Now let’s add the tens. 1 2 3 8 + 4 7 2 3 8 + 4 7 2 3 8 + 4 7 5

  10. Adding with Base Ten Blocks Tens 1 2 3 8 + 4 7 5 8 1 ten + 3 tens + 4 tens = 8tens

  11. Adding with Base Ten Blocks Now let’s add the hundreds. Hundreds 1 23 8 + 4 7 2 3 8 + 4 7 5 2 8 This block represents numbers in the hundred’s place. It is also called a flat. There are 2 hundreds and nothing to add. Therefore, the 2 hundreds are written in the answer.

  12. Adding with Base Ten Blocks Now let’s add using Base Ten Blocks and a place value mat. 1 2 3 8 + 4 7 5 5 2 8 Therefore – the sum is 285.

  13. Adding with Base Ten Blocks 1 Hundreds Tens Ones 4 6 3 + 1 2 9 4 6 3 + 1 2 9 5 9 2 • Build the top addend on your place value mat. • Add the bottom addend to the mat. • Combine and regroup from right to left. • Record the sum. 5 9 2

  14. Adding with Base Ten Blocks 1 1 Hundreds Tens Ones 5 4 6 + 2 5 7 5 4 6 + 2 5 7 8 0 3 • Build the top addend on your place value mat. • Add the bottom addend to the mat. • Combine and regroup from right to left. • Record the sum. 3 8 0

  15. Adding with Base Ten BlocksYour Turn… • Build the top addend on your place value mat. • Add the bottom addend to the mat. • Combine and regroup from right to left. • Record the sum. 5 6 8 + 4 1 5 5 6 8 + 4 1 5 9 8 3

  16. Adding with Base Ten BlocksYour Turn… • Build the top addend on your place value mat. • Add the bottom addend to the mat. • Combine and regroup from right to left. • Record the sum. 8 9 2 + 4 8 8 9 2 + 4 8 9 4 0

  17. Adding with Base Ten BlocksYour Turn… • Build the top addend on your place value mat. • Add the bottom addend to the mat. • Combine and regroup from right to left. • Record the sum. 2 7 0 + 3 7 3 2 7 0 + 3 7 3 6 4 3

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