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The table shows the planets and their distances from the SUN. (in km) MERCURY 58,000,000 VENUS 103,000,000 EARTH 155,000,000 MARS 228,000,000 JUPITER 778,000,000 SATURN 1,430,000,000 URANUS 2,870,000,000 NEPTUNE 4,500,000,000 What could be a problem when trying to write out the distances of the planets from the sun? • THINK • PAIR • SHARE Sometimes when numbers are very large or very small it can be difficult to keep track of the place value. • Therefore, we use SCIENTIFIC NOTATION • Let’s practice writing the distances from the planet to the Sun in scientific notation! I will do the first planet: Mercury The distance is 58,000,000 In scientific notation this would be: 5.8 x 10 7 How did I do that? Can you come up with a rule for writing numbers in scientific notation? To write a number in scientific notation: • 1. Count the number of spaces to move the decimal so that there is one number in front of it. 58,000,000. 5.8,000,000 2. DROP ALL OF THE ZEROS! 5.8 3. Multiply by a power of 10. (the exponent is the same number of SPACES you moved the decimal) 5.8 x 10 7 The table shows the planets and their distances from the SUN. (in km) MERCURY 58,000,000 VENUS 103,000,000 EARTH 155,000,000 MARS 228,000,000 JUPITER 778,000,000 SATURN 1,430,000,000 URANUS 2,870,000,000 NEPTUNE 4,500,000,000 The table shows the planets and their distances from the SUN. (in km) MERCURY 5. 8 x 10 7 VENUS 1.03 x 10 8 EARTH 1.55 x 10 8 MARS 2.28 x 10 8 JUPITER 7.78 x 10 8 SATURN 1.43 x 10 9 URANUS 2.87 x 10 9 NEPTUNE 4.5 x 10 9 SOMETIMES NUMBERS ARE VERY SMALL: Red Blood Cell 0.0065 cm Plant cell 0.005 cm Animal cell 0.001 cm Proton 0.000000000000001 m Neutron 0.000000000000022 Water Molecule 0.0000000003 m Distance between DNA pairs 0.00000000034m SCIENTIFIC NOTATION IS ALSO HELP WITH VERY SMALL NUMBERS: • The diameter of a water molecule is 0.0000000003 m In Scientific Notation this is equivalent to : 3.0 x 10 10 SOMETIMES NUMBERS ARE VERY SMALL: Red Blood Cell 0.0065 cm Plant cell 0.005 cm Animal cell 0.001 cm Proton 0.000000000000001 m Neutron 0.000000000000022 Water Molecule 0.0000000003 m Distance between DNA pairs 0.00000000034m PRACTICE: • WRITE IN SCIENTIFIC NOTATION: • 2,000,000 PRACTICE: • WRITE IN SCIENTIFIC NOTATION: • 0.000078 PRACTICE: • WRITE IN SCIENTIFIC NOTATION: 50,000,000 PRACTICE: • WRITE IN SCIENTIFIC NOTATION: 0.0125 PRACTICE: • WRITE IN SCIENTIFIC NOTATION: 0.000425 Write in standard form: 4.24 x 10 2 Write in standard form: 3.347 x 10 -1 Write in standard form: 1.5 x 10 -4 Write in standard form: 2.505 x 10 3 Write in standard form: 1.399 x 10 5 • WHY ARE NUMBERS WRITTEN IN SCIENTIFIC NOTATION?