... their properties; describes principal roots and tells whether they are rational or irrational; determines between what two integers the square root of a number is; estimates the square root of a number to the nearest tenth; illustrates and graphs irrational numbers (square roots) on a number line with and without appropriate technology; describes, represents and compares the different subsets of ... the significant digits in a given situation; writes very large or very small numbers in scientific notation; describes and represents real-life situations which involve integers, rational numb...

• Word Count: 4402
• Approx Pages: 18
• Has Bibliography
• Grade Level: Undergraduate

... motion of a planet, the time interval between successive positions of the planets was no greater than a truti (1⁄33750 of a second), and his measure of velocity was expressed in this infinitesimal unit of time. He was aware that when a variable attains the maximum value, its differential vanishes. He also showed that when a planet is at its farthest from the earth, or at ... the tremendous tool that is calculus. Leibniz's primary contributions to the calculus are: (1) A convenient notation (2) Definite rules of procedure that he called algorithms (3) Recognition that quadratures (i.e....

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate