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Divisability Rulesppt

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• 1. Divisibility Rules 2 3 4 5 6 9 10
• 2. What does it mean? &quot;Divisible by . . .&quot;
• 3. <ul><li>If you divide one number by another, the result is a whole number WITHOUT a remainder. </li></ul><ul><li>Examples: </li></ul><ul><li>21 ÷ 7 = 3 No remainder </li></ul><ul><li>56 ÷ 2 = 28 No remainder </li></ul>&quot;Divisible by&quot; means . . .
• 4. <ul><li>A number is divisible by 2 if the last digit is even . (0, 2, 4, 6, 8) </li></ul><ul><li>Examples: </li></ul><ul><li>6 4 49,82 2 </li></ul>Divisibility Rule for 2
• 5. <ul><li>Which number IS NOT divisible by 2? </li></ul><ul><li>684 2788 103 </li></ul>Now, You Try!
• 6. Wonderful !
• 7. It ends in a O, 2, 4, 6 or 8
• 8. <ul><li>A number is divisible by three if the sum of the digits is divisible by 3. </li></ul><ul><li>Examples: </li></ul><ul><li>81 8 + 1 = 9 9 ÷ 3 = 3 No Remainder </li></ul><ul><li>231 2 + 3 + 1 = 6 6 ÷ 3 = 2 No Remainder </li></ul>Divisibility Rule for 3
• 9. <ul><li>Which number IS NOT divisible by 3? </li></ul><ul><li>642 1644 729 </li></ul>Now, You Try
• 10. The sum is divisible by 3
• 11. Wonderful !
• 12. <ul><li>A number is divisible by 4 if the last two digits form a number that is divisible by 4. </li></ul><ul><li>Examples: </li></ul><ul><li>38 20 20 ÷ 4 = 5 </li></ul><ul><li>6 72 72 ÷ 4 = 18 </li></ul>Divisibility Rule for 4
• 13. <ul><li>Which number IS NOT divisible by 4? </li></ul><ul><li>112 5610 488 </li></ul>Now You Try
• 14. Wonderful !
• 15. The last 2 digits form a number divisible by 4
• 16. <ul><li>A number is divisible by 5 if the last digit is a 0 or 5 . </li></ul><ul><li>Examples: </li></ul><ul><li>32 5 ends in a 5 </li></ul><ul><li>347 0 ends on a 0 </li></ul>Divisibility Rule for 5
• 17. <ul><li>Which number IS NOT divisible by 5? </li></ul><ul><li>6520 657 465 </li></ul>Now, You Try
• 18. The number ends in 0 or 5
• 19. Wonderful !
• 20. <ul><li>A number is divisible by 6 when it is divisible by 2 AND 3 . (prime numbers) </li></ul><ul><li>Examples: </li></ul><ul><li>204 ends in an even number (2 rule) </li></ul><ul><li>sum of the digits is divisible by 3 </li></ul>Divisibility Rule for 6
• 21. <ul><li>Which number IS NOT divisible by 6? </li></ul><ul><li>7800 427 5502 </li></ul>Now, You Try
• 22. Way To Go !
• 23. This number is divisible by 2 and 3
• 24. <ul><li>A number is divisible by 9 if the sum of the digits is divisible by 9. </li></ul><ul><li>Examples: </li></ul><ul><li>351 3 + 5 + 1 = 9 9 ÷ 9 = 1 </li></ul><ul><li>3555 4 + 5 + 5 + 5 =18 18 ÷ 9 =2 </li></ul>Divisibility Rule for 9
• 25. <ul><li>Find the number that IS NOT divisible by 9. </li></ul><ul><li>9873 693 5541 </li></ul>Now, You Try
• 26. The sum of the digits is divisible by 9
• 27. Great Job !
• 28. <ul><li>A number is divisible by 10 is it ends in a ZERO. </li></ul><ul><li>Example: </li></ul><ul><li>456 0 ends in a zero </li></ul><ul><li> 431 0 ends in a zero </li></ul>Divisibility Rule for 10
• 29. <ul><li>Find the number that IS NOT divisible by ten. </li></ul><ul><li>47,870 5892 458 </li></ul>Now, You Try
• 30. The number ends in 0
• 31. Way To Go !
• 32. <ul><li>Grab a piece of paper and check how well you know the rules. </li></ul>Try It Out <ul><li>456 – 2 3 4 5 6 9 10 </li></ul><ul><li>801 – 2 3 4 5 6 9 10 </li></ul><ul><li>55,602 – 2 3 4 5 6 9 10 </li></ul><ul><li>51 – 2 3 4 5 6 9 10 </li></ul><ul><li>381 – 2 3 4 5 6 9 10 </li></ul>
• 33. <ul><li>Grab a piece of paper and check how well you know the rules. </li></ul>Try It Out <ul><li>456 – 2 3 4 5 6 9 10 </li></ul><ul><li>801 – 2 3 4 5 6 9 10 </li></ul><ul><li>55,602 – 2 3 4 5 6 9 10 </li></ul><ul><li>51 – 2 3 4 5 6 9 10 </li></ul><ul><li>381 – 2 3 4 5 6 9 10 </li></ul>