Mathematics Numbers 1/2 one half 1/3 one third 1/4 one quarter 5/22 five twenty seconds 11/2 one and a half 5,280 five thousand two hundred and eighty 12,018 twelve thousand and eighteen 615,750 six hundred and fifteen thousand seven hundred and fifty 1,500,000 one million five hundred thousand or one and a half million or one point five million 60,000,000 sixty million 125,000,000 one hundred and twenty five million 1,000,000,000 one billion 100,000,000,000 one hundred billion 1,000,000,000,000 one trillion Concepts ============================== ______________________________ ============================== a plus b equals c ============================== ______________________________ ============================== a minus b equals c ============================== ______________________________ ============================== a times b equals c ============================== ______________________________ ============================== six divided by two equals three ============================== ______________________________ ============================== a divided by b ============================== ______________________________ ============================== the ratio of a to b ============================== ______________________________ ============================== x squared ============================== ______________________________ ============================== x cubed ============================== ______________________________ ============================== x to the nth power or the nth power of x ============================== ______________________________ ============================== e to the x or exponential of x ============================== ______________________________ ============================== the square root of x ============================== ______________________________ ============================== the cube root of x ============================== ______________________________ ============================== the nth root of x ============================== ______________________________ ============================== derivative of y with respect to x ============================== ______________________________ ============================== partial derivative of y with respect to x ============================== ______________________________ ============================== the second derivative of y with respect to x ============================== ______________________________ ============================== the integral from a to b of f of x natural number Ú©ÎRÆä integer ƨÆä rational number ÷L÷ÿÆä irrational number öÒ÷ÿÆä real number ÚËÆä complex number ðÁÎfÆä absolute value ƉÎëâl coefficient ÔWÆä differential äÖð»ªAäÖð»­í derivative ã±É…ÆäªAäÖð»ÔWÆä differential equation äÖð»ðžâšÚ¨ partial differential equation ðëäÖð»ðžâšÚ¨ infinitesimal äÖ¶Ð÷æ­íªAöÒÔ˶­í discrete ÷£ÚUãI continuous ùAαãI integral Æìð» primitive function Ô«ÚnÉ…Æä probability Ém÷Ï distribution function ð»ðzÉ…Æä probability function Ém÷ÏÉ…Æä probability density function Ém÷Ïö¤ãxÉ…Æä expectation ÉœÎñâl variance ð»ÚU standard deviation ðW¶¥ðëÙá substitution ΋㟠substitute ΋㟭᭎ elimination ¶çÑÚªiö@ªj eliminate ¶çÑÚ­á­Ž