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Published byHector Hutchinson Modified over 4 years ago

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Measures of Science

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Why do we use it? Expresses decimal places as powers of 10 Written in the form M x 10 n M (mantissa): numerical part of the value written as a number between 1 and 9 Only write one digit to the left of the decimal point n (exponent): a power of 10

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Example: Which of the following is expressed correctly? 55.92 x 10 6 or 5.592 x 10 7 0.33 x 10 4 or 3.3 x 10 3 55 x 10 or 55 x 10 2

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Numbers GREATER than ten have POSITIVE exponents that represent the number of places the decimal point was moved 450, ooo 4.5 x 10 5 Numbers LESS than ten have NEGATIVE exponents that represent the number of places the decimal point was moved 0.0081 8.1 x 10 -3

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Conventional vs. Scientific notation

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Scientific Calculator 9.2 x 10 -4 9.2 EE/EXP -4 Graphing Calculator Also type in EE/EXP in place of x10

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Practice adding, subtracting, multiplying, and dividing on sheet

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Decimal system based on powers of 10 Uses prefixes (milli, centi, hecto, ect.) to change amount of SI units (g, L, m) SI: International System – used worldwide

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Length: meter (m) Time: second (s) Mass: gram (g) Volume: Liter (L)

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Combination of base units m/s m/s 2

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AbbreviationRelationship to base Written Name (smallest) micro1,000,000 µm = 1 mmillionth milli1,000 mm = 1 mthousandth centi100 cm = 1 mhundredth deci10 dm = 1mtenth Basem, L, s, g Hecto1 hm = 100 mhundred Kilo1 km = 1,000 mthousand (largest) Mega1 Mm = 1,000,000 mmillion

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Stop Practice converting between base units and prefixes

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The valid digits in a measurement Includes all the digits that you are certain about, plus one estimated digit

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1) Every nonzero digit is significant Ex. 24.7, 237 (3 sig. figs.) 2) Zeros between nonzeros are significant Ex. 7003, 40.07 (4 sig. figs)

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3) Zeros appearing in front of nonzero digits are not significant -act as placeholders, show magnitude Ex. 0.000042, 0.34 (2 sig. figs.) 4) Zeros at the end of a number and to the right of a decimal point are significant Ex. 43.60, 1.010 (4 sig. figs.)

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5) Zeros at the end of the number without a decimal point aren’t significant Ex. 300 (1 sig. fig.), 27,300 (3 sig. figs.)

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23.50 23,400 0.00560

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Your answer can’t have more sig. digits than the number in the calculation with the least amount of sig. digits Ex. Finding Area Length = 60.564278 m Width = 35.25 m Answer = 2135 m 2, not 2134.8908 m 2

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Answers can’t have more numbers to the right of the decimal point than the number with the least amount of numbers to the right of the decimal point Ex. 22.03 + 23.1 = 45.1

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