P3_Adding without regroupinjbhjgy bvhgyfytdg.pptx

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1. Review adding 3-digit numbers using column addition without regrouping Review of column addition and subtraction

2. I can add 3-digit numbers using column addition.

3. addend sum column addition

4. An addend is a number added to another. The sum is the total when numbers are added together. Column addition is a way of adding numbers by writing a number below another.

5. Adding 3-digit numbers using column addition Solving 3-digit column addition problems Review adding 3-digit numbers using column addition without regrouping

6. In this lesson you will meet: Adding 3-digit numbers using column addition Lucas Alex

7. Alex wants to add together two 3-digit numbers. Adding 3-digit numbers using column addition I want to add together 143 and 134 Let’s start by using Base 10 blocks to represent a column addition . Start with the smallest place value numbers first. 143 can be partitioned into 1 hundred, 4 tens and 3 ones. + 1 s 10 s 100 s 134 can be partitioned into 1 hundred, 3 tens and 4 ones. 4 tens add 3 tens equals 7 tens. 1 hundred add 1 hundred equals 2 hundreds. 143 + 134 = 277 3 ones add 4 ones equals 7 ones.

8. Alex represents the same problem using digits. Adding 3-digit numbers using column addition I start by adding the numbers with the smallest place value first . 143 can be partitioned into 1 hundred, 4 tens and 3 ones. 134 can be partitioned into 1 hundred, 3 tens and 4 ones. 4 tens add 3 tens equals 7 tens. 1 hundred add 1 hundred equals 2 hundreds. 143 + 134 = 277 7 7 4 3 1 4 + 1 s 10 s 1 100 s 3 2 3 ones add 4 ones equals 7 ones.

9. Alex uses column addition to add 223 and 72 Adding 3-digit numbers using column addition I start by adding the numbers with the smallest place value first . 223 can be partitioned into 2 hundreds, 2 tens and 3 ones. 72 can be partitioned into 7 tens and 2 ones. 2 tens add 7 tens equals 9 tens. 2 hundreds add 0 hundreds equals 2 hundreds. 223 + 72 = 295 9 5 2 3 2 + 1 s 10 s 2 100 s 7 2 3 ones add 2 ones equals 5 ones. I’m adding a 3-digit number and a 2-digit number.

10. Use column addition to add 133 and 235 Adding 3-digit numbers using column addition Start with the smallest place value numbers first. 133 can be partitioned into 1 hundred, 3 tens and 3 ones. 235 can be partitioned into 2 hundreds, 3 tens and 5 ones. 3 tens add 3 tens equals 6 tens. 1 hundred add 2 hundreds equals 3 hundreds. 133 + 235 = 368 6 8 3 3 2 5 + 1 s 10 s 1 100 s 3 3 3 ones add 5 ones equals 8 ones.

11. Adding 3-digit numbers using column addition Alex uses column addition to add 343 and 244 3 ones add 4 ones equals 7 ones. 4 5 8 7 4 3 2 4 + 3 4 tens add 4 tens equals 8 tens. 3 hundreds add 2 hundreds equals 5 hundreds. 343 + 244 = 587 I need to write the hundreds, tens and ones in the right columns . This is the ones column This is the tens column This is the hundreds column This time there isn’t a place value grid but I need to set it out correctly.

12. Adding 3-digit numbers using column addition Use column addition to add 225 and 223 5 ones add 3 ones equals 8 ones. 2 4 4 8 2 5 2 3 + 2 2 tens add 2 tens equals 4 tens. 2 hundreds add 2 hundreds equals 4 hundreds. 225 + 223 = 448 Write the hundreds, tens and ones in the right columns . This is the ones column This is the tens column This is the hundreds column

13. Adding 3-digit numbers using column addition Complete each column addition . a) 231 + 154 = ___ 5 3 1 1 4 + 1 s 10 s 2 100 s b) 314 + 75 = ___ 7 1 4 5 + 1 s 10 s 3 100 s

14. Adding 3-digit numbers using column addition 2) Use the equations to complete each column addition . a) 235 + 224 = ___ + 1 s 10 s 100 s b) 332 + 256 = ___ + 1 s 10 s 100 s Look carefully at the number of 100s, 10s and 1s in each number.

15. Adding 3-digit numbers using column addition 2) Use the equations to complete each column addition . c) 250 + 231 = ___ d) 307 + 72 = ___ + + Look carefully at the number of 100s, 10s and 1s in each number.

16. Adding 3-digit numbers using column addition 1) Here are the answers: a) 231 + 154 = 385 5 3 8 5 3 1 1 4 + 1 s 10 s 2 100 s b) 314 + 75 = 389 7 3 8 9 1 4 5 + 1 s 10 s 3 100 s 75 is a 2 -digit number so the hundreds column is left empty.

17. Adding 3-digit numbers using column addition 2) Here are the answers: a) 235 + 224 = 459 2 4 5 9 3 5 2 4 + 1 s 10 s 2 100 s b) 332 + 256 = 588 5 5 8 8 3 2 2 6 + 1 s 10 s 3 100 s 235 can be partitioned into 2 hundreds, 3 tens and 5 ones.

18. Adding 3-digit numbers using column addition 2) Here are the answers: c) 250 + 231 = 481 d) 307 + 72 = 379 3 4 8 1 5 2 1 + 2 7 3 7 9 7 2 + 3 250 has ones, so I need to write in the ones column.

19. Adding 3-digit numbers using column addition Solving 3-digit column addition problems Review adding 3-digit numbers using column addition without regrouping

20. Solving 3-digit column addition problems Alex tries to find the missing numbers. One addend has a missing tens digit. The other has a missing ones digit. To find a missing part, subtract the known part from the whole. 3 5 8 4 5 1 2 3 + 3 4 ones subtract 1 one is equal to 3 ones. 8 tens subtract 3 tens is equal to 5 tens. I actually knew that 5 + 3 = 8 I didn’t need to subtract.

21. Solving 3-digit column addition problems Alex tries to find the missing digits. To find a missing part, subtract the known part from the whole. 7 7 7 7 5 3 2 + 4 To find a missing whole, add the parts together. 7 ones subtract 2 ones is equal to 5 ones. 7 tens subtract 0 tens is equal to 7 tens. One addend has a missing ones digit and the other has a missing tens digit. The sum has a missing hundreds digit. 4 hundreds add 3 hundreds is equal 7 hundreds.

22. Solving 3-digit column addition problems Find the missing digits. 6 5 9 7 3 4 2 3 + 3 To find a missing whole, add the parts together. To find a missing part, subtract the other part from the whole. 7 ones subtract 4 ones is equal to 3 ones. 3 tens add 6 tens is equal to 9 tens or ninety. 5 hundreds subtract 2 hundreds is equal 3 hundreds.

23. Alex uses all six of the digit cards. Solving 3-digit column addition problems 2 3 4 5 He tries to make the sum as close to 300 as possible. 1 + I’m going to arrange the cards into two 3-digit numbers and add them using column addition . 2 1 3 4 5 3 3 9 4 ones add 5 ones is equal to 9 ones. 3 tens add 0 tens is equal to 3 tens. 1 hundreds add 2 hundreds is equal to 3 hundreds. 339 and 300 have a difference of 39

24. Use all six of the digit cards. Solving 3-digit column addition problems 2 3 4 5 1 + 2 5 4 3 1 2 9 4 3 ones add 1 ones is equal to 4 ones. 5 tens add 4 tens is equal to 9 tens. I used the largest digits to get close to 300 2 hundreds add hundreds is equal to 2 hundreds. 294 and 300 only have a difference o f 6! It’s possible to get closer by making a sum less than 300 You would not write zero here normally, but it shows which card has been used. 339 was Alex’s first sum . Can you get a sum that is even closer to 300? I’m going to make a sum less than 300 this time. I’ll use 2 and in the hundreds column.

25. 1) Find the missing digits. Solving 3-digit column addition problems a) b) 8 5 8 6 4 2 + 3 3 4 8 6 2 + 3

26. Find the missing digits. Solving 3-digit column addition problems c) d) 4 7 7 7 + 5 6 8 7 2 + 3

27. Use all six of the digit cards each time. Solving 3-digit column addition problems + 2 3 4 5 2) Use column addition . Arrange the cards into two 3-digit numbers. 1 Make the sum nearest to 600 Make the sum nearest to 700 Make the sum nearest to 800 + + a) b) c)

28. 1) Here are the answers: a) b) 8 5 8 6 4 2 2 + 3 3 4 9 8 6 2 1 6 + 3 For a , I can see that the missing tens digit must be 8 + 0 = 8 For b , I can see that the missing hundreds digit must be 1 3 + 1 = 4 Solving 3-digit column addition problems

29. Here are the answers: c) d) 4 7 7 7 3 7 2 + 5 6 3 8 7 2 2 5 + 3 For c , the missing tens digit is 3 7 − 4 = 3 For d , the missing ones digit is 5 7 − 2 = 5 Solving 3-digit column addition problems

30. 2) Here are the sums you should have made. You may have arranged the cards differently. Solving 3-digit column addition problems 3 + 5 2 4 1 5 9 1 Make the sum nearest to 600 a) It’s possible to get closer to 600 by making a number less than 600 instead of a number greater than 600 I used 3 hundreds and 2 hundreds to make 5 hundreds. I also used 5 tens and 4 tens to make 9 tens.

31. 2) Here are the sums you should have made. You may have arranged the cards differently. Solving 3-digit column addition problems 2 + 5 4 3 1 6 8 1 Make the sum nearest to 700 b) It’s possible to get closer to 700 by making a number greater than 700 instead of a number less than 700 681 and 700 have a difference of 19 whereas 717 and 700 only have a difference of 17 5 + 1 2 3 4 7 1 7

32. 2) Here are the sums you should have made. You may have arranged the cards differently. Solving 3-digit column addition problems 5 + 4 1 2 3 9 1 5 Make the sum nearest to 900 c) It’s possible to get closer to 900 by making a number greater than 900 instead of a number less than 900 I used 5 hundreds and 4 hundreds to make 9 hundreds. I also used tens and 1 ten to make 1 ten.

33. The addends are written in columns with the same value digits in the same column . The sum is recorded underneath the addends with the same value digits in the same column. Use zero to show that there are no tens or ones in a 3-digit number. When using column addition , always start by adding the numbers with the smallest place value first. Review adding 3-digit numbers using column addition without regrouping