To write in scientific notation numbers far from zero. To rewrite in standard notation numbers that are in scientific notation. To learn how calculators.

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Presentation transcript:

To write in scientific notation numbers far from zero. To rewrite in standard notation numbers that are in scientific notation. To learn how calculators represent scientific notation.

Did you know that there are approximately 75,000 genes in each human cell and more than 50 trillion cells in the human body? This means there are about 75,000▪50,000,000,000,000 or 3,750,000,000,000,000,000 genes in a body. We can rewrite each of the number in scientific notation: ▫ 3,750,000,000,000,000,000 = 3.75 x 10 18

A Scientific Quandary In Scientific NotationNot in Scientific Notation 3.4 x x x ,000, x x x x x x 10 2 Classify each of these numbers as in scientific notation or not. If a number is not in scientific notation, tell why not. 4.7 x x x x x 10 11

A Scientific Quandary In Scientific NotationNot in Scientific Notation 3.4 x x x ,000, x x x x x x 10 2 Define what it means for a number to be in scientific notation.

A Scientific Quandary Complete steps 3-5. ▫ Place your calculator in scientific notation mode. ▫ Enter the number 5000 on the home screen and press enter. Your calculator displays the number in its form of scientific notation. Repeat with each number in step 5. Record your answers in a chart. ▫250, ▫-5,530 ▫14,000 ▫7,000,000 ▫18 ▫470,000

Step 6 ▫ In scientific notation, how is the exponent on the 10 related to the number in standard notation? ▫ How are the digits before the 10 related to the number in standard notation? ▫ If a number in standard notation is negative, how does that show up in scientific notation? OriginalScientific x , x , x ,000, x x , x 10 5

Step 7 ▫ Write a set of instructions for converting 415,000,000 from standard notation to scientific notation. Step 8 ▫ Write a set of instruction for converting 6.4 x 10 5 from scientific notation to standard notation.

Example Meredith is doing a report on stars and wants an estimate for the total number of stars in the universe. She reads that astronomers estimate that there are at least 125 billion galaxies in the universe. An encyclopedia says that the Milky way, Earth’s galaxy, is estimated to contain more than 10 billion stars. Estimate the total number of stars in the universe. Give you answer in scientific notation.

125 billion = 1.25 x billion = 1.0 x (1.25 x )(1.0 x ) =(1.25 x 1) x (10 11 x )=1.25 x 10 21