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Numbers and Measurement measurements often very small or very large to handle these numbers, we use scientific notation.

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Presentation on theme: "Numbers and Measurement measurements often very small or very large to handle these numbers, we use scientific notation."— Presentation transcript:

1 Numbers and Measurement measurements often very small or very large to handle these numbers, we use scientific notation

2 Scientific Notation measurements written as the product of two numbers: a coefficient – # betw. 1 & 10 10 raised to a power, to show the number of times the coefficient must be multiplied/divided by 10.

3 Scientific Notation Write the following in scientific notation: 6,954,0000.0078654 175.9830.9600000

4 Scientific Notation Write the following in standard numerical form: 6.75 x 10 –3 7.5 x 10 6 1.865 x 10 2 8.75 x 10 –5

5 Calculations in Sci Notation Multiplication multiply coefficients add exponents examples 7.2 x 10 2 5.02 x 10 –3 1.0 x 10 2 2.6 x 10 8

6 Calculations in Sci Notation Division divide coefficients subtract the exponent of the denominator from the exponent of the numerator.

7 Calculations in Sci Notation Perform the following calc’s: 8.4 x 10 3 2.1 x 10 –2 7.25 x 10 4 5.0 x 10 2

8 Calculations in Sci Notation Addition and subtraction Make the exponent of both numbers the same Align decimal points and add coefficients

9 Calculations in Sci Notation Perform the following calc’s: 6.38 x 10 –3 – 3.8 x 10 –4 1.5 x 10 6 + 2.7 x 10 3

10 Calculations in Sci Notation Perform the following calc’s: 6.3 x 10 4 + 2.1 x 10 –3 1.77789 x 10 3 – 7.563 x 10 2

11 Calculations in Sci Notation 5.207 x 10 2 – 9.44 x 10 –1 2.5 x 10 –5 + 2.5 x 10 –4

12 Calculations in Sci Notation 3.33 x 10 -7 3.8 x 10 -4 1.9 x 10 5 2.442 x 10 4

13 International System of Units QUANTITY SI UNIT (SYMBOL) p 38 length meter (m) volume cubic meter (m 3 ) mass kilogram (kg) density grams/cubic cm (g/cm 3 ) temperature Kelvin (K) time second (s) pressure Pascal (Pa) energy Joule (J)

14 Unit Prefixes 10 9 giga- G 10 -3 milli- m 10 6 mega- M 10 -6 micro-  10 3 kilo- k 10 -9 nano- n 10 -1 deci- d 10 -12 pico- p 10 -2 centi- c


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