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Discovering

Date post: 02-Jan-2016
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Discovering. Divisibility Rules. These numbers are all divisible by 2 . Can you see why?. Here’s a hint --. 4 18 912 636 9,720. The ones digit is even!. A number is divisible by 2 if the ones digit is even. Are these numbers divisible by 2?. 5 82 917 5,276 8,478,184. NO. - PowerPoint PPT Presentation
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Page 1: Discovering
Page 2: Discovering

These numbers are all divisible by 2. Can you see why?• 4

• 18

• 912

• 636

• 9,720

Here’s a hint --

The ones digit is even!

Page 3: Discovering

• A number is divisible by 2 if the ones digit is even.

Are these numbers divisible by 2?55

8282

917917

5,2765,276

8,478,1848,478,184

NO

YES

NO

YES

YES

Page 4: Discovering

These numbers are all divisible by 3. Can you see why?• 9

• 63

• 714

• 225

• 9,720

Here’s a hint –

**Add up the digits of each number**

The sum of the digits is divisible by 3!

Page 5: Discovering

• A number is divisible by 3 if the sum of the digits is divisible by 3.

Are these numbers divisible by 3?77

2727

824824

271,360271,360

9,265,6899,265,689

NO

YES

NO

NO

YES

Page 6: Discovering

These numbers are all divisible by 4. Can you see why?• 16

• 912

• 720

• 8,224

• 917,532

Here’s a hint --

If the last two digits form a number divisible by 4!

Page 7: Discovering

• A number is divisible by 4 if the last two digits form a number divisible by 4.Are these numbers divisible by 4?1515

240240

1,6931,693

4,4084,408

12,982,54012,982,540

NO

YES

NO

YES

YES

Page 8: Discovering

These numbers are all divisible by 5. Can you see why?• 15

• 280

• 2,475

• 82,470

• 153,645

Here’s a hint --

The ones digit is a 0 or 5!

Page 9: Discovering

• A number is divisible by 5 if the ones digit is a 0 or 5.

Are these numbers divisible by 5?1515

240240

1,6931,693

4,4084,408

12,982,54012,982,540

YES

YES

NO

NO

YES

Page 10: Discovering

These numbers are all divisible by 6. Can you see why?• 48

• 90

• 174

• 1,044

• 39,720

Here’s a hint –

**Think about our other rules and what two numbers are factors of 6.**

The number is divisible by both 2 and 3!

Page 11: Discovering

• A number is divisible by 6 if the number is divisible by both 2 and 3.Are these numbers divisible by 6?135135

462462

7,0267,026

50,31950,319

12,982,44012,982,440

NO

YES

YES

NO

YES

Page 12: Discovering

These numbers are all divisible by 9. Can you see why?• 18

• 612

• 7,443

• 81,225

• 99,720

Here’s a hint –

**Add up the digits of each number**

The sum of the digits is divisible by 9!

Page 13: Discovering

• A number is divisible by 9 if the sum of the digits is divisible by 9.

Are these numbers divisible by 9?7272

183183

1,2871,287

189,101189,101

12,982,44012,982,440

YES

NO

YES

NO

NO

Page 14: Discovering

These numbers are all divisible by 10. Can you see why?• 50

• 240

• 8,770

• 42,420

• 153,640

Here’s a hint --

The ones digit is 0!

Page 15: Discovering

• A number is divisible by A number is divisible by 1010 if if the the ones digit is 0.ones digit is 0.

Are these numbers divisible by 10?7070

183183

1,2801,280

189,101189,101

142,982,530142,982,530

YES

NO

YES

NO

YES

Page 16: Discovering

Determine whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10.

712 2, 4

1,035

32,221

8,340

3, 5, 9

none

2, 3, 4, 5, 6, 10

Page 17: Discovering

Assignment

•Divisibility Rules WS

You can do it!

Page 18: Discovering
Page 19: Discovering

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