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# Divisibility rules

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Divisibility rules

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• ### Divisibility rules

1. 1. Divisibility Rules How do we know when we can divide one number into another exactly?
2. 2. PPT File Name: F:TeachingNorth East Carolina Prep School2013 - 2014FourthMathLesson PlansDivisibility Rules PPT URL: http://tinyurl.com/powcp68 Notes URL: http://tinyurl.com/mmmx6l7
3. 3. Vocabulary Divide: sharing or grouping a number into equal parts Divisible: can be divided without a remainder Remainder: amount leftover after dividing a number
4. 4. More Vocabulary Quotient: the result of dividing one number by another (the answer) Even: divisible by two – Ends with: 0; 2; 4; 6; 8 Odd: not divisible by two – Ends with: 1; 3; 5; 7; 9
5. 5. More Vocabulary Sum: total or whole amount (answer when adding) Digit: symbol used to show a number – For example: 8; 16; 856
6. 6. Divisibility Rules (2) A number can be divided by 2 if the last digit is even – For example 52
7. 7. Divisibility Rules (3) a number is divisible by 3 if the sum of the digits is 3, 6 or 9 – For example • 36 – 3+6=9 – 9÷3=3
8. 8. Divisibility Rules (4) a number is divisible by 4 if the number made by the last two digits can be divided by 4
9. 9. Divisibility Rules (5) A number is divisible by 5 if the last digit is a 5 or a 0 – For example 7 5 – 9 0 –
10. 10. Divisibility Rules (6) A number can be divided by 6 if the last digit is even and the sum of all the digits is 3, 6 or 9 – For example • 126 – 1+2+6=9 – 9÷3=3
11. 11. Divisibility Rules (8) A number is divisible by 8 if the number made by the last three digits will be divisible by 8 – For example • 152 – 1+5+2=8 – 8÷8=1
12. 12. Divisibility Rules (9) A number is divisible by 9 if the sum of all the digits will add to 9
13. 13. Divisibility Rules (10) A number can be divided by 10 if the last digit is a 0 – For example • 6 0
14. 14. Divisibility Rules A number can be divided by 7 if ……………… can you find a rule?
15. 15. Divisibility Rules 2, the last digit will be an even number 3, all the digits will add to 3,6 or 9 4, the number made by the last two digits can be divided by 4 5, the last digit will be a 5 or 0
16. 16. Divisibility Rules 6, the last digit will be even and the digits will add to 3, 6 or 9 8, the number made by the last three digits will be divisible by 8
17. 17. Divisibility Rules 9, the sum of the digits will be 9 10, the last digit will be a 0 There is no easy test for 7, although some methods have been invented, however it is easier to use a pencil and paper method.
18. 18. Take the Quiz Take the Quiz http://www.softschools.com/quizzes/math/divisibility_rules/qui
19. 19. Divisibility Rules Apply these rules to theses numbers: 74,673,042 444,555,448 61,616,168 732,510 66,666,666 179,131,590