Scientific notation

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## Scientific notation

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**Scientific notation**Why do we use scientific notation? How do we express very small numbers in scientific notation?**Scientific Notation**A number is expressed in scientific notation when it is in the form a x 10n where a is between 1 and 10 and n is an integer**Write the width of the universe in scientific notation.**210,000,000,000,000,000,000,000 miles Where is the decimal point now? After the last zero. Where would you put the decimal to make this number be between 1 and 10? Between the 2 and the 1**2.10,000,000,000,000,000,000,000.**How many decimal places did you move the decimal? 23 When the original number is more than 1, the exponent is positive. The answer in scientific notation is 2.1 x 1023**1) Express 0.0000000902 in scientific notation.**Where would the decimal go to make the number be between 1 and 10? 9.02 The decimal was moved how many places? 8 When the original number is less than 1, the exponent is negative. 9.02 x 10-8**Write 28750.9 in scientific notation.**• 2.87509 x 10-5 • 2.87509 x 10-4 • 2.87509 x 104 • 2.87509 x 105**2) Express 1.8 x 10-4 in decimal notation.**0.00018 3) Express 4.58 x 106 in decimal notation. 4,580,000**Turn each number into scientific notation**• Dogs have about 220,000,000 olfactory receptors to help them smell—roughly 40 times the number humans have. • The population of Tokyo, Japan was approximately 34,450,000 in 2000. • The biggest iceberg ever seen, known as B-15, weighed an estimated 4,000,000,000,000 tons. • One light-year is the distance light travels in one year—about 5,900,000,000,000 miles. • Scientists discovered a black hole at the center of M87, a galaxy in the constellation Virgo, rotating at 1,200,000 miles per hour using the Hubble Space Telescope. • The planet Mercury travels at 107,000 miles per hour. • Microscopic quantities of liquid water were found trapped in salt crystals in a 4,500,000,000-year-old meteorite that fell to Earth at Monahans, Texas in 1998. • In the mid 1990’s, the world had an estimated 19,200,000 camels, of which nearly half were in Somalia and Sudan. • In the early 1990’s, Utah’s chicken population produced approximately 456,000,000 eggs. • During his lifetime, George Eastman (1854-1932), an American inventor of films and cameras, donated $75,000,000 to charities.**Activity**• Each of you will receive a 3 x 5 index card with a different number written in scientific notation. 3-5 students at a time come to the front of the room with their cards and have stand in order from least to greatest.