Mathematics

Cartesian Coordinates – A Justification

Cartesian coordinates are generally written with a horizontal x-axis and a vertical y-axis. The data it shows are written as ordered pairs (x, y). These axes are drawn p perpendicular to each other. Why are the axes drawn vertically? While the description below is not required to enable this, perpendicular axes make it visibly clear that charges in X position can be made independently of changes in Y. Then by moving to on X position we can move up or down in.

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Which Door

Can you solve this puzzle? Suppose you are in a room with no windows, 2 doors, and 2 computers. One door leads to heaven and the other one leads to a very unpleasant place. You are to choose the door that leads to heaven. Now one computer always tells a lie and the other always tells the truth. The rules of this game: you can ask one and only one question to one of the computers. You don’t know which computer tells.

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Pythagorean Theorem

The Pythagorean Theorem is a fantastically important theorem in mathematics. Students studying math should spend enough time with it to thoroughly understand it. Many times we study a subject and get lost in the details. We see a lot of different aspects to something but don’t get a sense for the things that are worth our time to study and cogitate about. The Pythagorean theorem is so useful in continuing in mathematics not only for geometric shapes, but also for velocities, physics,.

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Some Divisibility Tricks

Divisibility means a whole number can be divided by a natural number to get a whole number as the quotient with no remainder. For example: 6÷3=2. The quotient 2 is a whole number. So we can say 6 is divisible by 3. However 12÷5=2 2/5. The quotient 2 2/5 is not a whole number so 12 is not divisible by 5. Let’s get into some of the tricks now. Divisibility by 3 and 9 Add all the digits of the number to get a.

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Prime Numbers – multiplication vs. addition

This post is meant to discuss why multiplication is used to define prime numbers and composites instead of addition. Let us say we want to compose the number 6 by multiplication of other positive whole numbers. There are 2 ways to do this.  6×1=6  2×3=6 In terms of 6 there are smaller whole numbers that can be multiplied to compose or produce the number 6. Since multiplication obeys both the associative and commutative property, we won’t concern ourselves with the alternative order.

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