Distributive Property for Division

The distributive property for division basically means you can split your quantity up into smaller chunks that are easier to divide.

Let’s take 176 ÷ 8 as an example. It’s easier for students to consider questions in context, so think of putting 176 apples into bags of 8.

If we take the first 80 apples, then it’s easier to see that would be split up into 10 apples into each bag.  80 ÷ 8 is a much easier question.

The next 80 apples are divided up, adding another 10 to each bag.

That leaves 16 apples, which when divided up into 8 bags makes 2 each.

So what we’ve done is split 176 ÷ 8 into

80 ÷ 8

80  ÷8

16 ÷ 8

 

Once students have done this with various contexts, they can practice with numerical situations.  Daily oral / mental math time is perfect for this.  Some questions should have remainders.

Comments

  1. Anonymous says:

    using this property for 56 divided by 4 how do you do it.

  2. How do you do 150 divided by 6

  3. and im a math teacher and this doesnt make sense for my students

  4. I like the way my teacher taught me how to do it, and it was nothing like THAT!

  5. Its really compicated!!!!

  6. ᎬᎪsᎽ ᏆᎾ ᎳᎾᏒᏦ ᎳᎥᏆh

  7. 56 divided by 4:

    40 divided by 4 is easier mentally.

    So let’s split 56 into 40 and 16.

    40÷4 = 10
    16÷4 = 4

    The answer is 10 + 4, so 14.

  8. You don’t help

  9. Anonymous says:

    This helped me with my homework

  10. Anonymous says:

    .

  11. Anonymous says:

    This doesn’t make sense

  12. Anonymous says:

    Thank you for this explanation.

    You’re just breaking out the number into easier chunks. Someone above asked how to divide 150 by 6 using this method.

    First figure out if the number is divisible by 6. An easy way is to add the digits and if that number is divisible by 6 then the entire number is divisible by 6. Example: 150 = 1+5+0 = 6. 6 is divisible by 6, so we know that 150 is divisible by 6.

    We can split 150 up into smaller numbers. Let’s choose 60, because we know 60 can be divided by 6.

    60 + 60 + 30 = 150.
    60 divided by 6 = 10
    60 divided by 6 = 10
    30 divided by 6 = 5

    10 + 10 + 5 is 25. So 150 divided by 6 = 25.

    We can use other numbers too, for example:
    72 + 72 6 = 150

    72 / 6 = 12
    72 / 6 = 12
    6 / 6 = 1

    12 + 12 + 1 = 25. 150 divided by 6 is 25, same as above.

  13. Anonymous says:

    Its simple as a teacher you need to push your kid into learning it

  14. Anonymous says:

    All you have to do is break the number apart then divide

  15. Like I’m trying to cheat well not really I already took the test I have to correct my answers lol can I ask you then HELP!!! I don’t understand

  16. THIS WAS NO HELP ,THANKS ALOT

  17. How can you do 84÷6

  18. I don’t get it

  19. Anonymous says:

    12836 / 4 was my sons homework question last night. In theory I know the answer is 3029 just from looking at it. Every time I try to break it, it being 12836, apart I’m not coming up with the correct answer. My son is frustrated because he has never struggled in math before and I do not want him to lose his confidence. Please help

  20. hi

  21. i need help

  22. Hello

  23. im dying

  24. Anonymous says:

    what is 72\4
    .

  25. come on lets go im dying I need to know

  26. Anonymous says:

    This helps

  27. scarletwing says:

    this didn’t really help me (no offense)

  28. Allison Blood says:

    How do you do this if you get a remainder from something you’re breaking down?

  29. How do you do 56 divided by 4???

  30. Wow but it show distributive proprty what about partial quotient.

  31. Thank you! This really helped. I think you should add a section about how you can (or can’t) divide within parentheses. But thank you!

  32. U suck

  33. Nothing

  34. No it did not help me att allllll. Bad website peeps.

  35. Anonymous says:

    This was freaking no help teacher and I listen to the freaking teacher I don’t work

  36. Anonymous says:

    How do you make do this Division and distributive property crap

  37. I found this post quite helpful as a reminder. +Michelle, 56/4 — break the numerator into two numbers that are more easily divided by four, make them two different fractions with 4 as the denominator still, divide them, and add those two numbers (quotients). For example, you could break 56 into 40+16, giving you 40/4 + 16/4. (That is the distributive property of division: You took one fraction and distributed (broke) it into two fractions, whose sum is equivalent to the original fraction). You get 10+4, giving you your answer of 14. Hopefully that helps you to grasp the concept.

  38. What are those apples l

  39. Rip

  40. Wiw

  41. Anonymous says:

    Very complex

  42. I don’t understand it ,to me it is still hard for me

  43. THIS WAS NO HELP FOR ME (NO OFFENSE) SORRY):

  44. I THINK IT IS HARD, BUT IT IS NOTHING I CAN’T HANDLE

  45. You guys should be nicer and respect mathematical opinions

  46. 488874×57=27,865,818

  47. Hello

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