CONFIDENTIAL 1

WARM-UP: 1.) 72 ÷ 9 =

2.) 64 ÷ 8 =

3.) 146 ÷ 2 =

4.) 126 ÷ 3 =

5.) 248 ÷ 4 =

GOOD AFTERNOON!

Today we will be learning about Divisibility Patterns and reviewingLong Division.

CONFIDENTIAL 2

Underline all the numbers that can be divided by 2 evenly.

Circle all the numbers that can be divided by 3 evenly.

Put a check mark √ beside all the numbers that can be divided by 5 evenly.

Put a slash \ through all the numbers that can be divided by 10 evenly.WHAT PATTERNS DO WE SEE FOR EACH NUMBER?

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

CONFIDENTIAL 3

A whole number is DIVISIBLE by another number if the remainder is 0.

A whole number is EVEN if it is divisible by 2.

A whole number is ODD if it is not divisible by 2.

1

2

34

5

6

7

8 9

12

14

15

18

19

CONFIDENTIAL 4

DIVISIBILITY RULES

A whole number is divisible by:

2 if the ones digit is divisible by 2

3 if the sum of the digits is divisible by 3

5 if the ones digit is 0 or 5

10 if the ones digit is 0

Can you give me some examples??

CONFIDENTIAL 5

Let's use the divisibility rules to tell whether

2,320 is divisible by 2, 3, 5, or 10.

2

3

5

10

Is the number ODD or EVEN?

Ones digit must be divisible by 2

Sum of the digitsmust be divisible by 3

Ones digit must be 0 or 5

Ones digit must be 0

Need A H

int?

?

CONFIDENTIAL 6

Let's try another one......

Is 3,225 divisible by

2

3

5

10

How do you know?

yes/no

yes/no

yes/no

yes/no

Ones digit is not divisible by 2

Sum of the digits is divisible by 3

Ones digit is 0 or 5

Ones digit must be 0

CONFIDENTIAL 7

DIVISIBILITY RULES

A whole number is divisible by:

4 if the number formed by the last two

digits is divisible by 4

6 if the number is divisible by 2 AND 3

9 if the sum of the digits is divisible by 9

Examples:

The rules for 4, 6, and 9 are related to the rules for 2 and 3.

624 716 832

732 2,316

324 5,571

CONFIDENTIAL 8

Can you tell me whether 564 is divisible by

4

6

9

yes/no

yes/no

yes/no

How do you know?

The number formed from the last two digits is divisible by 4.

The number is divisible by 2 and 3.

The sum of the digits is not divisible by 9.

CONFIDENTIAL 9

Practice ProblemsTell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10.Then tell whether it is odd or even.

605

3,135

6,950

138

8,505

9,948

2 63 94 105 Odd/Even

2 63 94 105 Odd/Even

2 63 94 105 Odd/Even

2 63 94 105 Odd/Even

2 63 94 105 Odd/Even

2 63 94 105 Odd/Even

1) 2) 3)

4) 5) 6)

CONFIDENTIAL 10

Let's practice some Long Division.

8976 976122

-817

-1616

-160

Check

8

CONFIDENTIAL 11

23 7 1 3

Let's do this together..

CONFIDENTIAL 12

And one more.....

62 1,922 62 1,92231

-18662

-620

Check

CONFIDENTIAL 13

Whew! Let's take a break!

CONFIDENTIAL 14

Let us Play!

CONFIDENTIAL 15Title: Format: WebEx Web BrowserDouble-click to edit

CONFIDENTIAL 16

Place your cursor over the number screen and left click. A randomnumber will appear. Tell whether the number is divisible by .....

2

3

4

5

6

9

10

Now, let's check to see how well we learned our divisibility rules!

CONFIDENTIAL 17

What is the greatest 3 digit number that is NOT divisible by 3?

(What methods are you going to use to solve this problem?)

1. What numbers are divisible by 3?

2. What is the largest 3 digit number?

Can you solve the following problems?????

Answer:

998

CONFIDENTIAL 18

Find the missing digit. List all possible answers.

8,4 8 is divisible by 3

1,4,7

Answer:

CONFIDENTIAL 19

What is true about the product of an oddnumber and an even number?

(Do you remember what a product is?)

Answer:

It is an even number.

CONFIDENTIAL 20

What is the smallest whole number that isdivisible by 2, 3, 5, 6, 9, and 10.?

Hint: The number must have all of these numbers as FACTORS.

Answer:

90 = 2 x 3 x 5 x 3

2 x 3 = 6

2 x 5 = 10

3 x 3 = 9

CONFIDENTIAL 21

1.) How can I tell if a number is divisible by

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

f.) 9

g.) 10

Example:

2.) Use Long Division.

41 1,886

CONFIDENTIAL 22

You did a GREAT job today!!!

* We learned the divisibility rules for 2, 3, 4, 5, 6, 9, and 10.

* We practiced our division facts.

* We reviewed our Long Division skills.