• @[email protected]
    link
    fedilink
    619 months ago

    0.5 / 0.5 = 1, so reducing the top term by half (from 0.5 to 0.25) reduces the result by the same (from 1 to 0.5), makes perfect sense to me. Or, ya know, just remember that dividing by 0.5 is the same as multiplying by 2.

    • Ace! _SL/S
      link
      fedilink
      149 months ago

      Or even simpler the half of 0.5 fits into 0.25. And we all know a half is 0.5

      • @[email protected]
        link
        fedilink
        69 months ago

        I was trying to think how to put that into words with an example like, “how many halves fit in 10? It’s 20. So how many halves fit in a quarter? Only half of a half will fit, so 0.5” but I kept screwing up the wording in my head for halves and quarters until I read your reply, so thank you for helping with that clarification. I knew the math was right but couldn’t put it into words the way I wanted.

    • @[email protected]
      link
      fedilink
      29 months ago

      Dividing any number, except 0, by itself equal 1, so the first part of your argument makes no sense.

      • @[email protected]
        link
        fedilink
        English
        119 months ago

        Incorrect. The argument makes perfect sense, you just gave a reason for why the example’s initial point seems obvious. Proofs don’t need to be fancy or make novel arguments to be effective. It’s math, where the shortest distance between two points is a straight line.

      • @[email protected]
        link
        fedilink
        1
        edit-2
        9 months ago

        If you have 0.5 / 0.5, that equals 1, because it’s a number (except 0), divided by itself. That much we seem to agree on.

        So then if we want to get from this to 0.25 / 0.5 as shown in the meme, we have to look at what’s changed and apply that change to each side of the equation. So what changed? The top of the fraction is 0.25 instead of 0.5. Hopefully we can agree that 0.25 is half of 0.5. We halved the top side of the fraction on the left.

        Now we want to apply that change on the right side then to keep our equation balanced. For this step, it helps to rewrite 1 on the right side as 1 / 1. Then we halve the top side of that fraction just like we did with the left side, giving us 0.5 / 1, which simplifies to just 0.5.

  • @[email protected]
    link
    fedilink
    429 months ago

    If you move it around it makes more sense.

    .25 = 0.5*0.5

    If you take half of something only half of the time you take a quarter of something.

  • @[email protected]
    link
    fedilink
    169 months ago

    Dividing by a division of 2… Of course it’s going to cancel out. Like subtracting a negative.

    Surely you don’t not understand double negatives? Just think of it like that.

  • @Whorehoarder
    link
    English
    169 months ago

    Stupid Lemmy making me do maffs on a sunday >:(

  • @[email protected]
    link
    fedilink
    159 months ago

    Maybe someone better at math can answer this, but is 0.25/0.5 functionally the same as 0.5/1, or simply 0.5?

    • @[email protected]
      link
      fedilink
      179 months ago

      You can call it whatever you want, as long as it equals 1/2 it’s the same number.

      So yes, multiplying by 2/2 to make it more intuitively obvious is perfectly valid and a good way to think about it. Most arithmetic tricks are ultimately multiplying by 1 or adding 0 just to make the problem easier to handle.

      • @[email protected]
        link
        fedilink
        29 months ago

        Oh yeah, I just meant that they said I multiplied by 2, which in my head is 2/1 but I was multiplying by 1. Just trying to be clear.

    • 𝕾𝖕𝖎𝖈𝖞 𝕿𝖚𝖓𝖆
      link
      fedilink
      English
      4
      edit-2
      9 months ago

      I think it’s easier to picture it in terms of fractions. When you divide by a fraction, you reciprocate the divisor. That is, you flip its numerator and denominator, then multiply them. In this case, we’re taking 1/4 and dividing it by 1/2. You take the reciprocal of 1/2, which is 2/1. Then multiply the numerators and denominators. You end up with (1/4)*(2/1)=2/4=1/2=0.5

    • Fellstone
      link
      fedilink
      English
      39 months ago

      0.25 is half of 0.5. Alternatively: A quarter is half of half. If you multiplied 0.25/0.5 by 2, then it would be 0.5/1, which is just 0.5.

        • @[email protected]
          link
          fedilink
          29 months ago

          You’ve got it. The trick to working with fractions is multiplying them by fractional equivalents to one (2/2, 7/7, 13/13, etc) to change them into numbers that our monkey brains can handle more easily.

    • @[email protected]
      link
      fedilink
      29 months ago

      I cannot comprehend how bad at math you need to be to ask this question.

      Like, 2 + 2 = 4 = 3 + 1.

      These are all equivalent. That’s what this symbol means: =

      • @[email protected]
        link
        fedilink
        199 months ago

        There are better ways of saying this. You know, polite ways, where you don’t come across as an insecure dickhead.

      • @[email protected]
        link
        fedilink
        179 months ago

        I cannot comprehend the level of douchery required to mock someone for asking an honest question. It’s gotta be high, at least Summer’s Eve or beyond.

        The best part is how your answer is bad. It’s a correct statement but it doesn’t answer their question.

      • @[email protected]
        link
        fedilink
        49 months ago

        That is really mean. You shouldn’t attempt to teach people anything if this is what your mindset is like.

    • @[email protected]
      link
      fedilink
      English
      19 months ago

      Huh, that’s a cool way to think of it. I’ve done a decent amount of higher level maths but stuff like this always cooks my brain if I let it. I thought of the numbers as the fractions 1/4 and 1/2, which then reminds me that 1/2 * 1/2 = 1/4, but I think your way feels more elegant

  • @[email protected]
    link
    fedilink
    99 months ago

    Every time I see something like this, the comments remind me that common core mathematics is a thing and it makes me sad.

    • @[email protected]
      link
      fedilink
      139 months ago

      Seriously, why is basic arithmetic worthy of so much discussion?

      Just… do the math. It’s not complicated math.

      • @[email protected]
        link
        fedilink
        89 months ago

        I sometimes feel bad about myself cause I didn’t get very far into calculus, but then I remember that the average adult has no idea how fractions work.

  • @[email protected]
    link
    fedilink
    8
    edit-2
    9 months ago
    • 250 marbles / 500 kids = 0.5 marble per kid
    • 25 marbles / 50 kids = 0.5 marble per kid
    • 2.5 marbles / 5 kids = 0.5 marble per kid
    • 0.25 marbles / 0.5 kids = 0.5 marble per kid, but there’s only one half a kid with a quarter of a marble in this example.
  • TxzK
    link
    fedilink
    8
    edit-2
    9 months ago

    0.5 = 1/2, 0.25 = 1/4

    0.25 / 0.5 = (1/4) / (1/2) = 1/4 * 2/1 = 2/4 = 1/2 = 0.5