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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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Presentation Transcript
slide2

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?
slide3

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?
slide5

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?
slide6

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?
slide8

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?
slide10

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?
slide11

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?
slide12

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?
direct station
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.
collaborative station
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.
collaborative station example
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
independent station st math
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.