Numbers and Measurement

measurements often very small or very large

to handle these numbers, we use scientific notation

Scientific Notation

measurements written as the product of two numbers:a coefficient – # betw. 1 & 1010 raised to a power, to show the

number of times the coefficient must be multiplied/divided by 10.

Scientific Notation

Write the following in scientific notation: 6,954,000 0.0078654

175.983 0.9600000

Scientific Notation

Write the following in standard numerical form: 6.75 x 10–3 7.5 x 106

1.865 x 102 8.75 x 10–5

Calculations in Sci Notation

Multiplicationmultiply coefficientsadd exponents

examples7.2 x 102 • 5.02 x 10–3

1.0 x 102 • 2.6 x 108

Calculations in Sci Notation

Divisiondivide coefficientssubtract the exponent of the

denominator from the exponent of the numerator.

Calculations in Sci Notation

Perform the following calc’s: 8.4 x 103 2.1 x 10–2

7.25 x 104 5.0 x 102

Calculations in Sci Notation

Addition and subtractionMake the exponent of both

numbers the sameAlign decimal points and add

coefficients

Calculations in Sci Notation

Perform the following calc’s: 6.38 x 10–3 – 3.8 x 10–4

1.5 x 106 + 2.7 x 103

Calculations in Sci Notation

Perform the following calc’s: 6.3 x 104 + 2.1 x 10–3

1.77789 x 103 – 7.563 x 102

Calculations in Sci Notation

5.207 x 102 – 9.44 x 10–1

2.5 x 10–5 + 2.5 x 10–4

Calculations in Sci Notation

3.33 x 10-7 • 3.8 x 10-4

1.9 x 105 • 2.442 x 104

International System of Units

QUANTITY SI UNIT (SYMBOL) p 38length meter (m)

volume cubic meter (m3)mass kilogram (kg)

density grams/cubic cm (g/cm3)temperature Kelvin (K)

time second (s)pressure Pascal (Pa)

energy Joule (J)

Unit Prefixes

109 giga- G 10-3 milli- m106 mega- M 10-6 micro- 103 kilo- k 10-9 nano- n10-1 deci- d 10-12 pico- p10-2 centi- c