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.

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 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

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 =12 so we must REGROUP 12 ones as 1 ten and 2 ones

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

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

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

CONFIDENTIAL 7 3, We begin by subtracting the ones * 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

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

CONFIDENTIAL 9 3, Next, we move to the hundreds place. Once again, we need to regroup a thousand as 10 hundreds since we cannot subtract 8 from Now we can subtract 8 from

CONFIDENTIAL 10 3, Finally, we move to the thousands place We subtract 0 from 2. 2, (879 has zero thousands even though it is not written there!)

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

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

CONFIDENTIAL 13 Addition and Subtraction are INVERSE OPERATIONS We can check our subtraction work by adding from the bottom up

CONFIDENTIAL 14 Here are some problems for you to try. 6, ,587 4, , ,652

CONFIDENTIAL 15 Break

CONFIDENTIAL 16 Game Click on the link below for some exciting puzzle puzzles/12-piece-jigsaw/butterflykid12.html

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?

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?

CONFIDENTIAL 19 3.) Fill in the boxes. input output RULE: Subtract

CONFIDENTIAL 20 Problems 1.) = 2.) = CHECK YOUR WORK

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

CONFIDENTIAL 22 CHECK YOUR WORK 5.) 5, ,854 =

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

CONFIDENTIAL = 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.

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

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