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Khan Algebra Course

Kakooma - Greg Tang Math About Kakooma starts with a deceptively simple idea: in a group of numbers, find the number that is the sum of two others. Sounds easy, right? Playing KAKOOMA Kakooma is great for people of all ages. Start with the mini-puzzle at the top. Difficulty levels The size of the puzzle and the size of the puzzle’s numbers determine its difficulty. Here is an example of a more difficult puzzle with 9 numbers and sums up to 25. Kakooma Negatives Kakooma can also be played with negative numbers. Starting with the top left mini-puzzle, the answer is 2 since -4 + 6 = 2. Kakooma Fractions Ready for a new challenge? Starting with the mini-puzzle at the top, the answer is 5/12 since 3/12 + 1/6 = 5/12. Kakooma Times With Kakooma Times, players switch from finding sums to finding products. Starting with the top, left mini-puzzle, the answer is 21 since 7 x 3 = 21. In this last puzzle, note that the operation switches from multiplication back to addition (since the numbers are double-digits).

101 uses of a quadratic equation March 2004 It isn't often that a mathematical equation makes the national press, far less popular radio, or most astonishingly of all, is the subject of a debate in the UK parliament. However, in 2003 the good old quadratic equation, which we all learned about in school, was all of those things. Where we begin It all started at a meeting of the National Union of Teachers. Where would it all end? Maybe so, but it's not really the quadratic equation's fault. The Babylonians Babylonian cuneiform tablets recording the 9 times tables It all started around 3000 BC with the Babylonians. Let's suppose that you are a Babylonian farmer. is the length of the side of the field, is the amount of crop you can grow on a square field of sidelength 1, and is the amount of crop that you can grow, then This is our first quadratic equation, naked and blinking in the sunlight. crops to pay for the taxes on your farm." Now, not all fields are square. For appropriate values of and to give formula": and hypotenuse then .

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CALCULATORS Quadratic Equations An example of a Quadratic Equation: The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2). It is also called an "Equation of Degree 2" (because of the "2" on the x) The Standard Form of a Quadratic Equation looks like this: Here are some more examples: Hidden Quadratic Equations! So the "Standard Form" of a Quadratic Equation is ax2 + bx + c = 0 But sometimes a quadratic equation doesn't look like that! How To Solve It? The "solutions" to the Quadratic Equation are where it is equal to zero. They are also called "roots", or sometimes "zeros" There are 3 ways to find the solutions: 3. Just plug in the values of a, b and c, and do the calculations. We will look at this method in more detail now. About the Quadratic Formula Plus/Minus First of all what is that plus/minus thing that looks like ± ? But sometimes you don't get two real answers, and the "Discriminant" shows why ... Discriminant Do you see b2 - 4ac in the formula above? Using the Quadratic Formula

Cool Tool For Schools USEFUL SITES Standard Form | content, standard-form Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number). Example Write 81 900 000 000 000 in standard form: 81 900 000 000 000 = 8.19 × 1013 It’s 1013 because the decimal point has been moved 13 places to the left to get the number to be 8.19 Write 0.000 001 2 in standard form: It’s 10-6 because the decimal point has been moved 6 places to the right to get the number to be 1.2 On a calculator, you usually enter a number in standard form as follows: Type in the first number (the one between 1 and 10). Manipulation in Standard Form This is best explained with an example: The number p written in standard form is 8 × 105

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