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least significant decimal place. • When multiplication or division is performed, answers are rounded to the number of digits that corresponds to the least number of significant figures in any of the numbers used in the calculation. Example: 6.2/5.90 = 1.0508… = 1.1 Example: 20.4 + 1.332 + 83 = 104.732 = 105 “rounded”
Jespersen/Brady/Hyslop Chemistry: The Molecular Nature of Matter, 6E Using Decimal Multipliers Use prefixes on SI base units when number is too large or too small for convenient usage Numerical values of multipliers can be interchanged with prefixes Ex. 1 mL = 10–3 L 1 km = 1000 m 1 ng = 10–9 g
In scientific notation, the coefficient is always a number greater than or equal to one and less than ten. The power of ten, or exponent, in this example is 4. The exponent indicates how many times the coefficient 8.4 must be multiplied by 10 to equal the number 84,000. 8.4 × 104 = 8.4 × 10 × 10 × 10 × 10 = 84,000.
Systems of Measurement. English System (commerce): inch, foot, pound, quart, and gallon. Metric System (scientific work): gram, meter, and liter. More convenient to use (decimal unit system). Metric System Units. There is one base unit for each type of measurement (length, mass, volume, etc.).
1.1 Addition, Subtraction, Multiplication and Division We will all be familiar with the following operations: addition (+), subtraction ( ), multiplication ( ) and division ( ) but for the sake of completeness we will review some simple rules and conventions. Operator Representation Ordering
A. Can use metric prefixes to move decimal place around B. Also use scientific notation 1. Review entering scientific notation in calculator 2. Adding exponents in multiplication 3. Subtracting exponents in division IX. Significant Figures A. Report all digits you a confident in plus the first digit that you are uncertain about. B. Addition and ...
There are 5 positions between our new decimal point and the decimal point in the original number, so our coefficient will be multiplied by 10 raised to the negative 5th power. Our number written in scientific notation is: 6.42 x 10-5. You can use these methods to express any large or small number using scientific notation.
