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Presentation Transcript

Our lesson today will cover

The Addition Properties AND Adding multi-digit numbers

Let's warm up....

Write < , > , or =

1.) 12-4

11-5

1) : >

2.) 6+7

8+5

2) : =

3.) 9+6

21-4

3) : <

4) : <

4.) 18-11

5+3

CONFIDENTIAL

Let's review what we covered in the last lesson.

We can use PLACE VALUE to ROUND.

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

First, we need to underline the thousands place.

2,345

CONFIDENTIAL

2,345

Second, we need to look at the digit just

to the right of the underlined digit.

* If that digit is 5 ormore, we increase the underlined

digit by 1.

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

underlined digit.

CONFIDENTIAL

2,345

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

Finally, we changeall the digits to the right of the

underlined digit to 0.

2,345 rounds to 2000

CONFIDENTIAL

ADDITION OF MULTI-DIGIT NUMBERS

There are several properties of addition

COMMUTATIVE PROPERTY:

We can change the order and the sum stays the same.

EXAMPLE: 4 + 6 = 10

6 + 4 = 10

ASSOCIATIVE PROPERTY:

We can change the grouping and the sum stays the same.

EXAMPLE: 2 + (3+ 8) = 10

(2 + 3)+ 8= 10

IDENTITY PROPERTY:

We can add zero and the sum stays the same.

EXAMPLE: 7 + 0 = 7

CONFIDENTIAL

Complete each problem using the COMMUTATIVE PROPERTY.

"Change the Order"

36 + 98 =

98 + 36

+

+

0 + 76 =

76 + 0

CONFIDENTIAL

Complete each problem using the ASSOCIATIVE PROPERTY.

"Re-group"

20 + (4 + 6) =

(

(20 + 4) + 6

+

)

+

(8 + 7) + 5 =

)

(

+

+

8 + (7 + 5)

CONFIDENTIAL

Complete each problem using the IDENTITY PROPERTY.

"Keep the same number"

15

15 + 0 =

+ 34 = 34

0

CONFIDENTIAL

We add numbers together by first

LINING UP THE DIGITS

4,321

2,634

+

The ones are lined up

The thousands are lined up.

The tens are lined up.

The hundreds are lined up.

CONFIDENTIAL

Then we need to determine if we must

REGROUP

7+5=12 so we must REGROUP 12 ones

as 1 ten and 2 ones

1

197

+ 35

2

CONFIDENTIAL

We continue to REGROUP

1

1

197

+ 35

2

3

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

CONFIDENTIAL

This is how we add multi-digit numbers by REGROUPING.

1

1

197

+ 35

1+1=2

2

2

3

CONFIDENTIAL

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

467

+ 84

6,725

+ 5,932

551

12,657

4,832

+ 168

5,000

CONFIDENTIAL

1.) Jacob read 256 pages the first

week, 367 pages the second week,

and 184pages the third week. How

many pages did he read over the 3 weeks?

1) : 256 + 367 + 184 =807

CONFIDENTIAL

1,2,3,4,5,6

+

2) : 642

+531

(Sample answer)

Use the numbers above one time only to make thelargest sumpossible.

CONFIDENTIAL

3.) What is wrong with this problem?

6,789

+ 2,935

3) : The correct answer is 9,724.

9,

2

6

4

CONFIDENTIAL

1.) Use the COMMUTATIVE Property of Addition to

complete this problem

1) : 84 + 37

37 + 84 =

+

2.) Do you think I can use the COMMUTATIVE

Property of Addition with three numbers?

+

4 + 5 + 8 =

+

2) : Yes. 5+8+4 or 8+4+5

CONFIDENTIAL

3.) Use the ASSOCIATIVE Property of Addition

to complete this problem.

Be sure to include the parentheses!

25 + (5 + 9) =

3) : (25 + 5) + 9

4.) Do you think it is easier to add the left side

of the equation or the right side? Why?

CONFIDENTIAL

5.) Use the IDENTITY Property of Addition

to complete the problem.

4,732 +

5) : 0 and 4,732

=

CONFIDENTIAL

Let's Review

There are several properties of addition

COMMUTATIVE PROPERTY:

We can change the order and the sum stays the same.

EXAMPLE: 4 + 6 = 10

6 + 4 = 10

ASSOCIATIVE PROPERTY:

We can change the groupingand the sum stays the same.

EXAMPLE: 2 + (3+ 8) = 10

(2 + 3)+ 8= 10

IDENTITY PROPERTY:

We can add zero and the sum stays the same.

EXAMPLE: 7 + 0 = 7

CONFIDENTIAL

We add numbers together by first

LINING UP THE DIGITS

Then we need to determine if we must

REGROUP

7+5=12 so we must REGROUP 12 ones

as 1 ten and 2 ones

1

197

+ 35

This is how we regroup.

2

CONFIDENTIAL

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