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

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  • #46
    Originally posted by McDuck View Post
    [/IMG2]
    Easy one first.
    x + 2 = 20
    Solve for x.


    Woooo, "X" the unknown.

    Why do letters have to equal numbers? I never hurt anybody"

    The trick here is to think of a set of scales,
    The ones in the picture are of some ancient Egyptian scales.
    The heart of a scribe is being weighed against a feather. Apparently standards for public officials were very high at the time.


    So, if you think of the = sign as the balance point in the scales.
    You can keep balance, or equality, as long as you do the same to both sides.
    Usually that thing you do is taking the same thing away form both sides, until only the thing you want is left.


    x + 2 = 20


    Subtract 2 from both sides.

    x + 2 - 2 = 20 - 2

    we know that 2 -2 = 0
    so .
    x + 0 = 20 - 2

    Therefore
    x = 18


    * In this case we mean equal in quantity,. Obviously they are not equal in other ways, position for example, you can't have two things in the same place at the same time. Or one thing in two places at one time...(Yes, that's why fractional reserve banking is a fraud).
    Last edited by McDuck; 14-04-2021, 08:11 AM.

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    • #47
      What a great elaboration of the formula. Mine is totally different way but the same result.

      x + 2 = 20

      since 20 is the sum of x and 2, therefore x is equal to 20 - 2

      x = 18

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      • #48
        Originally posted by DrownInside View Post
        What a great elaboration of the formula. Mine is totally different way but the same result.

        x + 2 = 20

        since 20 is the sum of x and 2, therefore x is equal to 20 - 2

        x = 18
        Yes! nice bit of mental arithmetic.

        I do go to great lengths to reveal the underlying reason and methodology behind the brain's ability to solve problems in a flash.
        Mostly because your brain will fail once the problems becomes more complex.
        But, by simply understanding and applying the rule, you will get through.
        We'll get back to more complex ones later.
        Last edited by McDuck; 15-04-2021, 07:32 AM.

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        • #49


          And now, for something different.

          These are Zener cards

          They are used to conduct
          experiments for extrasensory perception (ESP) or clairvoyance.

          I'm going to randomly pick one and think about it for a while.

          See if you can pick the card I'm thinking about.

          Comment


          • #50


            If you picked the wavy line card, the second card from the left, you guessed correctly.

            Attempts to verify ESP have proven unsuccessful so far.

            According to chance alone, one in five of you should have gotten it right.

            It's worth noting that gravity and magnetism are also invisible forces that act at a distance, but in contrast, are very repeatable.

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            • #51
              Slightly harder.

              3x + 3 = 12

              Solve for x.

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              • #52
                Originally posted by McDuck View Post
                Slightly harder.

                3x + 3 = 12

                Solve for x.
                So, remember, the = sign is like the pivot on a set of scales.
                To keep it balanced, you need only do the same to both sides.

                3x + 3 = 12
                Subtract 3 from both sides.
                3x = 9
                Divide both sides by 3.
                x = 3

                or
                3x + 3 = 12
                Divide both sides by 3.
                x + 1 = 4
                Subtract 1 from both sides.
                x = 3
                Last edited by McDuck; 17-04-2021, 09:15 AM.

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                • #53



                  This one's easy.
                  What do you see in this image?
                  Use your imagination.
                  Last edited by McDuck; 17-04-2021, 09:19 AM.

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                  • #54
                    Originally posted by McDuck View Post
                    1 + 4 x 2 = ? .. 10 or 9 ?

                    and why.
                    Mindboggling for some people, the answer is really questionable. Because you can use the GEMDAS method or direct method. 1+4=5x2=10 in the Direct method while 4x2=8+1=9 for the GEMDAS method.

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                    • #55
                      Originally posted by DrownInside View Post

                      Mindboggling for some people, the answer is really questionable. Because you can use the GEMDAS method or direct method. 1+4=5x2=10 in the Direct method while 4x2=8+1=9 for the GEMDAS method.
                      You could strip back the multiplication to it's true form.
                      So 4 x 2 becomes 2+2+2+2.
                      and the equation becomes.
                      1+2+2+2+2.
                      The answer is 9.

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                      • #56
                        Originally posted by McDuck View Post



                        This one's easy.
                        What do you see in this image?
                        Use your imagination.
                        If you saw anything with wings, bats, butterflies etc. etc...you're ok.

                        Anything else and you're a serial killer.

                        Not really.

                        These tests are inconclusive.
                        Just a tool for your unconscious mind to express itself, to a trained professional, in light of many other factors.


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                        • #57


                          Away from quantity now, away from Arabic math.
                          Jumping back further in time, to the days of the early Greeks.
                          On to length and shape.

                          Pythagoras is known for playing with shapes.
                          (And for triangles).

                          Here's a triangle.
                          It's a right angle triangle. It has one right angle in it, (a right angle is 90 degrees).

                          What is the length X?
                          Show how you know.
                          Last edited by McDuck; 20-04-2021, 08:34 AM.

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                          • #58
                            Originally posted by McDuck View Post


                            Away from quantity now, away from Arabic math.
                            Jumping back further in time, to the days of the early Greeks.
                            On to length and shape.

                            Pythagoras is known for playing with shapes.
                            (And for triangles).

                            Here's a triangle.
                            It's a right angle triangle. It has one right angle in it, (a right angle is 90 degrees).

                            What is the length X?
                            Show how you know.
                            x=5 because it is a 3-4-5 triangle.
                            I know because I know.

                            Comment


                            • #59
                              Originally posted by Wayne View Post

                              x=5 because it is a 3-4-5 triangle.
                              I know because I know.

                              Brilliant, yes, that's the fastest way.

                              Recognizing it as the well known 3,4,5 triangle is ideal.

                              Although you might give credit to the teacher who taught you this as a child.

                              Wile the human brain is born with the natural ability to perceive hot and cold, near and far, pleasure and pain and even the passage of time,
                              I'm pretty sure the 3,4,5, triangle is a taught skill, rather than natural gift.
                              Do you remember the teacher who you owe this little brain cell alteration to?

                              Here's how the Greeks figured it out.
                              By drawing perfect squares out from the sides




                              So a2 + b2 = c2

                              "a" is the shortness side, and "c" is the longest side.
                              Substituting in the values.


                              32 + 42 = c2

                              9 + 16 = c2

                              25 = c2

                              Get the square root of both sides to simplify it (√)

                              √25 = √c2

                              √25 = c

                              5 = c

                              c = 5 units of length.
                              Last edited by McDuck; 21-04-2021, 09:06 AM.

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                              • #60


                                Here are three bent arrows.
                                You read the story from left to right, just like a normal sentence or equation.

                                What is the next bent arrow?

                                Choose from A,B,C, or D.

                                Say why.

                                Hint, break the story down into smaller chunks.
                                Last edited by McDuck; 22-04-2021, 08:17 AM.

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