1. CONFIDENTIAL 1 Good Afternoon! Today our lesson will cover The Rules of Subtraction AND Subtraction of multi-digit numbers 1.) Round 567 to the nearest hundreds place. 2.) Round 67,423 to the nearest thousands place. 3.) Round 4,897 to the nearest tens place.

2. CONFIDENTIAL 2 Let's review what we learned in the last lesson. There are several properties of addition COMMUTATIVE PROPERTY: ASSOCIATIVE PROPERTY: IDENTITY PROPERTY: We can change the order and the sum stays the same. EXAMPLE:4 + 6 = 10 6 + 4 = 10 We can change the grouping and the sum stays the same. EXAMPLE:2 + (3+ 8) = 10 (2 + 3)+ 8= 10 We can add zero and the sum stays the same. EXAMPLE:7 +0 = 0

3. CONFIDENTIAL 3 We add numbers together by first LINING UP THE DIGITS Then we need to determine if we must REGROUP This is how we regroup. 197 + 35 2 1 7+5=12 so we must REGROUP 12 ones as 1 ten and 2 ones

4. CONFIDENTIAL 4 Now, let's look at 0 in subtraction. 13 - 0 = 13  If we subtract 0 from any number, the difference is that same number. 57 - 57 = 0  If we subtract a number from itself, the difference is 0.

5. CONFIDENTIAL 5  We need to line up the digits.  Often we need to regroup. Subtraction is similar to addition.

6. CONFIDENTIAL 6 3,776 - 879 = First, we must line up the digits. 3,776 - 879 Ones Place Hundreds Place We look at a problem here. Thousands Place Tens Place

7. CONFIDENTIAL 7 3,476 - 879 We begin by subtracting the ones. 616 7 * Now, we can subtract 9 from 16. In this case, we cannot subtract 9 from 6 so we need to do the following things :  ADD THEM TO REGROUP IT AS TEN ONES and THE EXISTING SIX ONES.  LOOK AT THE TENS PLACE AND BORROW A TEN

8. CONFIDENTIAL 8 3,476 - 879 Next, we move to the tens place. Once again, we need to regroup a hundred as 10tens since we cannot subtract 7 from 6. 6 16 7 3 We add our 10tens to the 6tens to get 16 tens. Now we can subtract 7 from 16. 9

9. CONFIDENTIAL 9 3,476 - 879 Next, we move to the hundreds place. Once again, we need to regroup a thousand as 10 hundreds since we cannot subtract 8 from 3. 616 7 3 Now we can subtract 8 from 13. 9 2 13 5

10. CONFIDENTIAL 10 3,476 - 879 Finally, we move to the thousands place. 6 16 7 3 9 2 13 5 We subtract 0 from 2. 2, (879 has zero thousands even though it is not written there!)

11. CONFIDENTIAL 11 Remember that subtraction begins with the top number and starts in the ones place. 27 5 - If the problem is written horizontally.... 156 - 78 the top number is the number to the left of the subtraction sign. It's 7 minus 5

12. CONFIDENTIAL 12 Let's try one together. 345 - 68 Remember to begin in the ones place. Do you need to regroup? Let's try another one. 4,135 - 1,762

13. CONFIDENTIAL 13 Addition and Subtraction are INVERSE OPERATIONS We can check our subtraction work by adding from the bottom up. 421 - 187 234 + 187 421

14. CONFIDENTIAL 14 Here are some problems for you to try. 6,394 - 2,587 4,521 - 976 5,623 - 3,652

15. CONFIDENTIAL 15 Break

16. CONFIDENTIAL 16 Game Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw- puzzles/12-piece-jigsaw/butterflykid12.html

17. CONFIDENTIAL 17 1.) Maria and her family are driving to the Grand Canyon for a vacation. The Grand Canyon is 678 miles from her home. So far, her family has driven 189 miles. How many more miles do they have left to drive?

18. CONFIDENTIAL 18 2.) Steve is playing a video game and needs 100,000 points to win. He currently has earned 36,482 points. How many more points does he need?

19. CONFIDENTIAL 19 3.) Fill in the boxes. input output RULE: Subtract 204 602 619 735 531

20. CONFIDENTIAL 20 Problems 1.) 567 - 0 = 2.) 467 - 259 = CHECK YOUR WORK

21. CONFIDENTIAL 21 3.) 56,789 - 56,789 = 4.) 802 - 788 = CHECK YOUR WORK

22. CONFIDENTIAL 22 CHECK YOUR WORK 5.) 5,032 - 4,854 =

23. CONFIDENTIAL 23 Let's review what we learned today. Now, let's look at 0 in subtraction. 13 - 0 = 13  If we subtract 0 from any number, the difference is that same number.

24. CONFIDENTIAL 24 57 - 57 = 0  If we subtract a number from itself, the difference is 0. And,  We need to line up the digits.  Often we need to regroup. Subtraction is similar to addition.

25. CONFIDENTIAL 25 Remember that subtraction begins with the top number and starts in the ones place. 27 5 - If the problem is written horizontally.... 156 - 78 the top number is the number to the left of the subtraction sign. It's 7 minus 5

26. CONFIDENTIAL 26 Congratulations! You worked hard! Great job today! See you in the next session