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Divisibility RUles

Divisibility RUles. Quick ways to see if a number can be evenly divided by another number. When finding factors of a number and reducing fractions. What are divisibility rules? When could we use divisibility rules?. A number is divisible by 2 if its even, meaning it ends in 0, 2, 4, 6, or 8.

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Divisibility RUles

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  1. Divisibility RUles

  2. Quick ways to see if a number can be evenly divided by another number. • When finding factors of a number and reducing fractions. • What are divisibility rules? • When could we use divisibility rules?

  3. A number is divisible by 2 if its even, meaning it ends in 0, 2, 4, 6, or 8. • Yes (ends in 0, so even) • No (ends in 7, so odd) • Yes (ends in 2, so even) • What is the divisibility rule for 2? • Are the following divisible by 2:58390? • 267? • 92?

  4. A number is divisible by 3 if the sum of its digits is divisible by 3. • Example: 132 is divisible by 3 because 1+3+2=6 and 6 is divisible by 3. • 1+3+8=12 and 12 is divisible by 3, so 138 is also divisible by 3. • What is the divisibility rule for 3? • Is 138 divisible by 3?

  5. 9+7=16 and 16 is not divisible by 3, so 97 is not divisible by 3 either. • 4+0+2 = 6 and 6 is divisible by 3, so 402 is also divisible by 3. • Is 97 divisible by 3? • Is 402 divisible by 3?

  6. Multiples of 5

  7. A number is divisible by 5 if it ends in a 0 or 5. • No, it ends in 8. • Yes, it ends in 5. • Yes, it ends in 0. • What is the divisibility rule for 5? • Are the following divisible by 5: 108? • 85? • 310?

  8. What are the multiples of 10? What do they have in common?

  9. A number is divisible by 10 if it ends in a 0. • No, it ends in 5. • Yes, it ends in 0. • Yes, it ends in 0. • What is the divisibility rule for 10? • Are the following divisible by 10: 105? • 80? • 230?

  10. 2 yes (ends in 0 so even) • 3 no (2+3+0 = 5, which is not divisible by 3) • 5: yes (ends in 0) • 10: yes (ends in 0) • Of 2, 3, 5, and 10, which are factors of 230?

  11. 2 no(ends in 5 so odd) • 3 yes(1+0+5 = 6, which is divisible by 3) • 5: yes (ends in 5) • 10:no (does not end in 0) • Of 2, 3, 5, and 10, which are factors of 105?

  12. Fully reduce

  13. Direct Station • We will learn a few more divisibility rules: how to quickly tell when a number has a factor of 4, 6, or 9. • We will write down the work for this station in our notebook instead of on our work paper.

  14. Collaborative Station • Spin the number spinner 3 times. Use the numbers you land on to create a 3 digit number. • Example: If you spin a 4, a 0, and a 5, your number is 405. If you spin a 0, 8, and 2 your number is 82. • You and your partner will determine whether your number is divisible by 2, 3, 5, and 10.

  15. Collaborative Station Example • Say you and your partner spin the number 135. • Write: • 135:not divisible by 2 because it ends in 5, not an evendivisible by 3 because 1+3+5=9, which is divisible by 3.divisible by 5 because it ends in 5.not divisible by 10 because it does not end in 0

  16. Independent Station: ST Math • If you are still on the diagnostic test, finish that. • Otherwise, continue the properties of operations unit. • Write down the order of operations problems on your work paper as you do them on the computer.

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