Writing and understanding numbers in scientific notation

Transcription

1 ` Writing and understanding numbers in scientific notation The diameter of a coin measures from one end of the coin to the other going through the centre of the coin. Measure the diameter of each coin in millimetres and convert them to centimetres. Record your results in your notebook.

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3 1.6cm = 16mm 1.7cm = 17mm 2cm = 20mm 2.2cm = 22mm 2.4cm = 24mm 2.5cm = 25mm

4 Another way to convert centimeters into millimeters is to take the centimeters and multiply it by 10.

5 What does the mnemonic MVEMJSUNP stand for?

6 What does this mnemonic stand for? MVEMJSUNP

7 x x x x x x x x x 10 9

8 Scientific notation Mercury is km away from the sun. This can also be written as x 10 7 Explain how this happens? watched the 1966 world cup. Write this in scientific notation 3.2 x 10 7

9 The probability of winning the lottery is about 1 / 14 million or This can also be written as 7.1 x 10-8 Explain how this happens? The radius of a human hair is 0.053mm Write this in scientific notation 5.3 x 10-2

10 Scientific notation Very large or very small numbers can be written in scientific notation like this. a x 10 n a x 10 n 1 a 10 integer (positive or negative)

11 Write these in scientific notation 950 = Write these as ordinary numbers 3.5x 10 2 = = = 7420 = 4.67x 10-3 = 7.6x 10 3 = 8.65x 10-4 = = 1.05 x 10-1 =

12 Write these in scientific notation 950 = 9.5 x 10 2 Answers Write these as ordinary numbers 3.5x 10 2 = = 4.87 x x 10-3 = = 6.48 x x 10 3 = = 7.42 x x 10-4 = = 1.6 x x 10-1 = 0.105

13 1) 367 Calculating with scientific notation Write the following in scientific notation: 2) ) ) Write the following as an ordinary number: 5) 4 x ) 6.21 x ) 3 x ) 5.32 x 10-9

14 Using the example to help you, fill in the four missing blanks. 7 x10 9 = Population of the world is around 7 billion written out as 7,000,000, x10 9 = Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour 9.3 x10 7 = Distance from the Earth to the sun is 93 million miles or 93,000,000 miles 2.4 x10 3 = Diameter of a grain of sand is 24 tenthousandths inch or.0024 inch = Mass of an electron is kg

15 Write the following in standard form. During your lifetime you will... have ,390 x 5 dreams have x 10 3 headaches x 10 8 speak 123, 205, 750 words laugh ,265 x 10 5 times make x 10 3 friendships eat ,354 x 10 4 chocolate bars 3.5 x 10 4 eat 35,000 cookies x 10 5 visit the toilet 174,105 times produce ,815 x 10 4 litres of gas from breaking wind

16 Find a unique fascinating fact. Write it in scientific notation and standard form. Begin the circle with "Did you know..." Hang it on the washing line. When you have finished, start the review questions on the next slides.

17 Mika and Kiran are disputing between how to write a number using scientific notation. They both know the formula a x 10 n Their teacher asks them to write the following in scientific notation and to write the following as an ordinary number x 10-2 Mika writes x What do you think? Kiran writes 6.5 x

18 a x 10 n Write in scientific notation Write as ordinary numbers

19 a x 10 n Write in scientific notation 2.5x x x x 10 Write as ordinary numbers x x ) 4) 3, , , ,

20 Change these numbers into scientific notation

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