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Published byArabella Walters Modified over 9 years ago
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I can:
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Starter POWERS OF 10
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10 1 = 10
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10 3 = 1000
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10 0 = 1
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10 -1 = 1 10 = 0.1
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10 6 = 1 000 000
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How do I even say this number???
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What could be this big??? Discuss in pairs – 2 mins
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atoms in the human body
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Standard form Shorthand way of writing really big or really small numbers easily 2 parts a number between 1 and 10 x 10 to the power of a number
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Standard form: a number between 1 and 10 × a power of ten but not including 10 positive or negative
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Example 20000000000000000000000000 This number is HUGE!! It is much easier to write the number in standard form x 10 A number between 1 and 10 (but not including 10) A power of 10 2 25
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Example 0.000000000000006 This number is Tiny!! It is much easier to write the number in standard form x 10 A number between 1 and 10 (but not including 10) A power of 10 6 -15
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Let’s look at big numbers first!
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Example The Jurassic Age began 199600000 years ago. Write this in standard form. 1.996x 10 8
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Question 1 The Earth is 93 000 000 miles from the Sun. Write this in standard form. Ans: 9.3 x 10 miles 7
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Question 2 The average bucket of sand contains 3 180 000 000 grains of sand. Write this in standard form. Ans: 3.18 x 10 grains 9
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Converting from standard form to normal form Example Anglesey has rock that is 2.6 × 10 9 years old. Write this number out in full. Ans: 2.6 00000000 = 2 600 000 000
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Question 3 Light travels at 3 x 10 8 m/s Write this in normal form. Ans: 300 000 000 m/s 00 0 0 0 0 0 0 3
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Question 4 Worldwide sales of Wii Sports have reached 8.19 x 10 7 Ans: 81 900 000 Write this sales figure out in full. 8.19 00 0 0 0
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big and small two 1 10 7 200 000 0002 100 000 000 2 500 000 2.5 x 10 6
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Homework Book Pg 25 Exercise 1G 1-15 EVEN ONLY AND 46,48,49
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Standard form BIG NUMBERS small numbers
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Example A DNA chain is approximately 0.0000022 mm in width. Write this in standard form. 0.0000022 2.2x 10 -6
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Question 5 It takes a standard computer 0.00000000033 seconds to add 2 integers together. Write this in standard form. 0.00000000033 3.3x 10 -10
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Question 6 A red blood cell is measured at 7.3 x 10 -3 mm. Write this number in normal form. 7.300 Ans: 0.0073mm Converting from standard form to normal form
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Question 7 The width of this shelled amoeba is 1.3 x 10 -4 m Write this number in normal form. 1.300 Ans: 0.00013m 0
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