SCIENTIFIC NOTATION You will learn: how to express numbers in scientific notation how to express numbers in standard form SCIENTIFIC NOTATION

WARM UP

Directions: With your partner, fix the following text message that you need to send to me. It is too long to send. “Hello Ms Jones, please help! I don’t know what time school starts tomorrow, thanks!”

SCIENTIFIC NOTATION

Scientific to standard notation

STANDARD TO SCIENTIFIC NOTATION

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The following information shows chocolate and candy sales during a recent holiday: Candy Canes: $120 million Chocolate: $300 million All candy: $1.45 billion 1.Express the sales of candy canes, chocolates, and all candy in standard notation. 2. Write each of these sales figures in scientific notation. Using Scientific Notation....

Problems to solve: 1.In the 1930’s the Indian physicist, Subrahmanyan Chandrasekhar and others predicted the existence of neutron stars. These stars can have a density of 10 billion tons per teaspoonful. Express this density in scientific notation. 2. The unit of measure for counting molecules is a mole. One mole of a substance is the amount that contains about 602,214,299,000,000,000,000,000 molecules. Write this number in scientific notation.

CLASSWORK Complete the worksheet. Attempt to answer each problem on your own. Check your work with your partner.

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Practice converting numbers from standard form to scientific notation and from scientific notation to standard from. Complete the worksheet. If you need help, watch the video clip on slide three.

If a number is greater than 10, the exponent will be _____________ and is equal to the number of places the decimal must be moved to the ________ to write the number in scientific notation. positive left Copy this slide into your notes.

If a number is less than 10, the exponent will be _____________ and is equal to the number of places the decimal must be moved to the ________ to write the number in scientific notation. negative right Copy this slide into your notes.

1. Move the decimal to the right of the first non-zero number. 2. Count how many places the decimal had to be moved. 3. If the decimal had to be moved to the right, the exponent is negative. 4. If the decimal had to be moved to the left, the exponent is positive. To write a number in scientific notation:

EXPRESS THE FOLLOWING AS WHOLE NUMBERS OR AS DECIMALS PROBLEMSANSWERS 1) 4.9 X ) 3.75 X ) 5.95 X ) 9.46 X ) 3.87 X ) 7.10 X ) 8.2 X )490 2) ) )9460 5)38.7 6)7.10 7)

Write these numbers in scientific notation. P 1) ) ) ) 12 5) ) 596 7) ) 1,000,000 9) ) 987,653,000,000 11) 8 1) 1.2 x ) 1 x ) 1 x ) 1.2 x ) 9.87 x ) 5.96 x ) 7.0 x ) 1.0 x ) 1.26 x ) 9.88 x ) 8 x 10 0 ProblemsAnswers