CONFIDENTIAL 1

Good Afternoon!

Our lesson today will cover The Addition Properties AND Adding multi-digit

numbers

Let's warm up....

1.) 12-4 11-5

2.) 6+7 8+5

3.) 9+6 21-4

4.) 18-11 5+3

Write < , > , or =

CONFIDENTIAL 2

Let's review

We can use PLACE VALUE to ROUND.

Let's round 2,345 to the nearest thousands place.

First, we need to underline the thousands place.

2,345

CONFIDENTIAL 3

2,345

Second, we need to look at the digit justto the right of the underlined digit.

* If that digit is 5 or more, we increase the underlined

digit by 1.

* If that digit is 4 or less, we do not change the underlined digit.

CONFIDENTIAL 4

2,345

Since this digit is 4 or less, we leave the 2 alone.

Finally, we change all the digits to the right of the

underlined digit to 0.

2,345 rounds to 2000

CONFIDENTIAL 5

45, 48, , 69, 74

The middle number is called the MEDIAN

SET of data

52,

CONFIDENTIAL 6

ADDITION OF MULTI-DIGIT NUMBERS

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 = 7

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Complete each problem using the COMMUTATIVE PROPERTY.

"Change the Order"

36 + 98 = +

0 + 76 = +

CONFIDENTIAL 8

Complete each problem using the ASSOCIATIVE PROPERTY.

"Re-group"

20 + (4 + 6) =

( )+ +

(8 + 7) + 5 =

+( + )

CONFIDENTIAL 9

Complete each problem using the IDENTITY PROPERTY.

"Keep the same number"

15 + 0 =

+ 34 = 34

CONFIDENTIAL 10

We add numbers together by firstLINING UP THE DIGITS

4,3212,634+

The thousands are lined up.

The tens are lined up.

The ones are lined up

The hundreds are lined up.

CONFIDENTIAL 11

Then we need to determine if we mustREGROUP

197+ 35

2

1

7+5=12 so we must REGROUP 12

onesas 1 ten and 2

ones

CONFIDENTIAL 12

197+ 35

2

1

We continue to REGROUP

3

1

1+9+3=13 so we must REGROUP 13 tens as 1 hundred and 3 tens

CONFIDENTIAL 13

197+ 35

2

1

3

1

Finally, we add the hundreds.

1+1=2

2

This is how we add multi-digit

numbers by REGROUPING.

CONFIDENTIAL 14

Here are some problems for you to try....

467+ 84

6,725+

5,932

4,832+ 168

CONFIDENTIAL 15

1.) Jacob read 256 pages the firstweek, 367 pages the second week,and 184 pages the third week. Howmany pages did he read over the 3

weeks?

CONFIDENTIAL 16

2.) 1,2,3,4,5,6

+

Use the numbers above one time only to make the largest sum possible.

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3.) What is wrong with this problem?

6,789+ 2,935

4269,

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Assessment

1.) Use the COMMUTATIVE Property of Addition tocomplete this problem

37 + 84 = +

2.) Do you think I can use the COMMUTATIVEProperty of Addition with three numbers?

4 + 5 + 8 =

+ +

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3.) Use the ASSOCIATIVE Property of Additionto complete this problem.

25 + (5 + 9) =

4.) Do you think it is easier to add the left sideof the equation or the right side? Why?

Be sure to include the parenthese

s!

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5.) Use the IDENTITY Property of Additionto complete the problem.

4,732 + =

CONFIDENTIAL 21

Find the sum:

13,563 + 4,709

7,064+ 9,673

45,258+ 787

6) 7)

8)

CONFIDENTIAL 22

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 = 7

Very Good!Let's Review

CONFIDENTIAL 23

We add numbers together by firstLINING UP THE DIGITS

Then we need to determine if we mustREGROUP

This is how we regroup.

197+ 35

2

1

7+5=12 so we must REGROUP 12

onesas 1 ten and 2

ones

CONFIDENTIAL 24

You did a wonderful job today!

See you in the next session.