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02 Number Theory Using Divisibility Rules

02 Number Theory Using Divisibility Rules. 0 1 2 3 4 5 6 7 8 9. Answers:. 1) 39,9__8 ÷ 3. 1 or 4 or 7. Find all the digits that will make the # divisible by the stated number:. 2) 5,43__,216,789 ÷ 9. 0 or 9. 3) 2,546,__24 ÷ 6. 1 or 4 or 7.

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02 Number Theory Using Divisibility Rules

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  1. 02 Number TheoryUsing Divisibility Rules 0 1 2 3 4 5 6 7 8 9 Answers: 1) 39,9__8 ÷ 3 1 or 4 or 7 Find all the digits that will make the # divisible by the stated number: 2) 5,43__,216,789 ÷ 9 0 or 9 3) 2,546,__24 ÷ 6 1 or 4 or 7

  2. Find the smallest # divisible by 3,5, and 6 Make a list: Count by 3’s then 6’s 3 6 9 12 15 18 21 24 27 30 33 36 6 12 18 24 30 36 42 48 54 60 66 Notice the overlap? All the 6’s are in the 3’s !!! 5 or 0 What is the rule for 5’s? What does the # have to end with to be divisible by 5?

  3. Will this divide evenly? Answers: 1) 459 ÷ 9 Yes cuz 4+5+9=18 & 1+8=9 2) 231 ÷ 6 No cuz it ends with 1 2 won’t work. If 2 can’t work, neither does 6. 3) 3,288 ÷ 3 Yes cuz 3+2+8+8=21 & 2+1=3

  4. Fill in the Blanks to make a # that is divisible by both2 and 9 ___ ___ ___ + + Must be 0, 2, 4, 6 or 8 Must add up to 9

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