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Divisibility Rules for 3 and 9

Divisibility Rules for 3 and 9. The divisibility rules for 3 and 9 are as follows: Add the digits in the number that you are dividing together Ex. 876 453 8+7+6+4+5+3= 33 Add the digits of the sum again until it becomes a one digit number 3+3=6 Determine if 3 is a factor of the sum 6/3=2

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Divisibility Rules for 3 and 9

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  1. Divisibility Rules for 3 and 9

  2. The divisibility rules for 3 and 9 are as follows: • Add the digits in the number that you are dividing together • Ex. 876 453 • 8+7+6+4+5+3= 33 • Add the digits of the sum again until it becomes a one digit number • 3+3=6 • Determine if 3 is a factor of the sum • 6/3=2 • Determine if 9 is a factor of the sum • 6 is not divisible by 9 • Therefore, the number 876 453 by 3 but not 9

  3. Example #1 • Determine whether the number 462 893 112 is divisible by 3 or 9 • Solution: • 4+6+2+8+9+3+1+1+2= 36 • 3+6=9 • 9/3= 1 • The number 462 893 112 is divisible by 3 and 9

  4. Example #2 • Determine whether 478 374 297 is divisible by 3 or 9 • Solution: • 4+7+8+3+7+4+2+9+7= 51 • 5+1=6 • 6/3= 2 • 6 is not divisible by 9

  5. Your Turn • There is a shipment of water colour pencils to a school • Which pencils can be divided into groups of 3? • Add the digits of the number. If the sum is a multiple of 3, then the number is divisible by 3. • The orange and purple pencils can be divided into groups of 3.

  6. Your Turn • Can the number 12 837 be divided by 3? • 1+2+8+3+7= 21 • 2+1=3 • 3/3= 1

  7. Your turn • Explain why the given number is or is not divisible by 9 • 79 and 1872 • Solution: • 79 • 16 • 16/9 • 1872 • 1+8+7+2 • 18/9= 2

  8. Practice • Page 9 #1 • Do first, STOP and check • Continue to #3,4,8,11 • If you finish continue onto the curious math activity on page 11

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