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1 + 4 x 2 = ? .. 10 or 9 ?

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  • #76


    -5 x -4 ÷ -2 = ?



    At this point, numbers stop being used to count quantity.

    Instead they count distance, and usually distance from a start point.

    You'd be right to question how that start point came into being, and how its held there.

    Water level is a good start point. It's held there by gravity and sorted according to the relative density of air to water.

    E.g.
    You can be at water level, 0
    Fly above it. +1
    Sink below it. -1

    Thus we introduce the idea of direction.

    -5 x -4 ÷ -2 = ?

    taking the first part the

    -5 x -4 = 20

    the simplified equation is now

    20 ÷ -2 = ?

    20 ÷ -2= -10

    The answer is -10 units.
    (Ten units away from the zero point, but under the water's surface rather than flying above it.)

    * It's interesting to note, that zero has now changed meaning, going from meaning "empty" to meaning "at balance or equilibrium"
    Last edited by McDuck; 03-05-2021, 09:43 AM.

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    • #77
      Originally posted by McDuck View Post
      You have 5 jellybeans, how can you eat 7 jellybeans and end up with - 2 jellybeans.

      How can you have -2 of anything.

      Surely its preposterous.

      We expect the rules of Math to be reliable and accurately reflect the real world.

      What's really going on?
      You owe 2 jellybeans?

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      • #78
        Originally posted by Wayne View Post

        You owe 2 jellybeans?
        Ha.
        You don't want to go there.
        it was just a provocative question for math philosophers.

        There's slight of hand there.
        Those extra 2 jellybean came from somewhere.
        They were borrowed, as you say.
        There's a complementary, but conveniently forgotten equation.

        The slight of hand is to conveniently forget to increase the size of the system, from a man and his jellybeans, to two men and their jellybeans.
        I didn't say women, because it would have been chocolate.

        I that "forgetting" is how the fraud of the Fiat money system goes under almost everyone's radar.
        Last edited by McDuck; 05-05-2021, 12:55 PM.

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        • #79


          This one is going to be very easy for Chinese people.
          Might throw Western people a bit.

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          • #80
            5
            Patterns in columns
            star + circle = star in circle
            small square + big square (both with dots in middle) = small square in big
            so 3rd has to have mirror triangles, circle, and dot, only 5 supports that.

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            • #81
              Originally posted by Wayne View Post
              5
              Patterns in columns
              star + circle = star in circle
              small square + big square (both with dots in middle) = small square in big
              so 3rd has to have mirror triangles, circle, and dot, only 5 supports that.
              That's a good bit of thinking.
              The main trick is to stop reading from left to right. and read from top to bottom.
              Which, considering it's against the way we in the west read every equation or sentence (and even music), is quite a feat.
              Once you do that, the trick is the same as the last one.
              Place the first image on top of the second image, and that creates the third image.
              Last edited by McDuck; 05-05-2021, 09:09 AM.

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              • #82

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                • #83
                  Originally posted by McDuck View Post
                  3
                  work on the base colours 1st then check with the sides

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                  • #84
                    Yup. That's the fastest way.

                    Separate the shape into a square and a cross.

                    Do a colour count on the square alone.
                    Notice the double green anomaly.
                    Look for a solution with two greens on the square.

                    That double check you did, with the corner combination, It's a nice touch.

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                    • #85


                      How far away should the person on the left sit, in order to balance the Seesaw.

                      W = weight.
                      D = distance.

                      W1 = the weight of person one.
                      and so on.

                      Show the equation.
                      Solve for D2 ( the length on the left hand side).
                      Last edited by McDuck; 06-05-2021, 09:17 AM.

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                      • #86
                        Originally posted by McDuck View Post


                        How far away should the person on the left sit, in order to balance the Seesaw.

                        W = weight.
                        D = distance.

                        W1 = the weight of person one.
                        and so on.

                        Show the equation.
                        Solve for D2 ( the length on the left hand side).
                        Hint.

                        The equation you must create, should be in this form.

                        A1 x B1 = A2 x B2.

                        Because when you balance an equation , or a seesaw, or a set of measuring scales, the left side has to equal the right side, for the system to be "in balance".
                        or in equilibrium.

                        If something is throwing you, let me know, and i'll fill in the blanks.
                        Last edited by McDuck; 07-05-2021, 11:29 AM.

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                        • #87
                          Originally posted by McDuck View Post


                          How far away should the person on the left sit, in order to balance the Seesaw?
                          Show the equation.
                          Solve for D2 ( the length on the left hand side).
                          The trick is to notice the word " balance " in the original question.
                          Then to remember that it means the left side must equal the right side, in order for the scales to balance.

                          Left hand side = Right hand side.

                          Weight 2 x Distance 2 = Weight 1 x Distance 1

                          Substitute in the real values from the diagram.

                          180 x D2 = 220 x 0.6

                          Solve the Right hand side of the equation.

                          180 x D2 = 132

                          Get rid of the 180 on the Left, by dividing both sides by it.


                          D2 =132 /180

                          D2 = 0.73333r of a meter from the pivot point.

                          D2 = 0.7333r m.

                          Check with common sense.

                          The bigger bloke will have to be closer, in order for balance.
                          So the answer for the smaller bloke should be more than a 0.6 of a meter from the pivot.
                          0.7 is greater than 0.6 . So true.

                          Second cross check.

                          The bigger bloke is 1.222222r times bigger than the smaller bloke.
                          so the distance for the smaller bloke should be 1.22222r further.

                          Scale factor applied to smaller bloke's weight should = bigger bloke's weight.

                          1.222222 x 180 = 220.

                          And that's equal to the bigger bloke's weight. So yes check two works also.
                          Last edited by McDuck; 08-05-2021, 08:39 AM.

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                          • #88


                            This will throw people born to calculators.

                            12,345.67
                            + 11,966.78
                            _________

                            Show the additions and carryovers.

                            Example. last column is 7+8
                            7 + 8 = 15.
                            Write down the 5, carry over the 1.
                            Last edited by McDuck; 09-05-2021, 06:57 AM.

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                            • #89
                              Originally posted by McDuck View Post


                              This will throw people born to calculators.

                              12,345.67
                              + 11,966.78
                              _________

                              Show the additions and carryovers. equals

                              Example. last column is 7+8
                              7 + 8 = 15.
                              Write down the 5, carry over the 1.
                              So the very first step is a rough check.
                              SO you dont make a technical error.

                              go for the heavy end first.
                              12k plus 11K equals 23K.
                              If you get paid this much, you're not taking a big hit.
                              Then go for the hundies.
                              9H hundie plus 3H hundie is 1.2k
                              So you know you are wanting to get more than 23K plus 1.2K
                              Just over 24.2K, is to be expected.
                              Now the rest is happy money.
                              With the ten dollar notes, you can see 40T odd bucks and 60T bucks is about a 1H
                              So yore pretty close to 24.3K
                              just a bit over.
                              there's less than + lunch money in it now.
                              But this is all just the rough, to make sure you don't cheat yourself.
                              The real carryover system is your task.


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                              • #90
                                Originally posted by McDuck View Post


                                This will throw people born to calculators.

                                12,345.67
                                + 11,966.78
                                _________

                                Show the additions and carryovers.

                                Example. last column is 7+8
                                7 + 8 = 15.
                                Write down the 5, carry over the 1.
                                7+8=15, 5 carry 1
                                xxxxx.x56+7=13+carry=14, 4 carry 1
                                xxxxx.45
                                5+6=11+carry=12, 2 carry1
                                xxxx2.45
                                4+6=10+carry=11, 1 carry 1
                                xxx12.45
                                3+9=12+carry=13, 3 carry 1
                                xx312.45
                                2+1=3+carry=4
                                x4312.45
                                1+1=2
                                24312.45

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