Scientific Notation & Significant Figures

Accuracy and Precision Review Precision- how close measurements are to each other (range) Accuracy- how close a measurement is to true value (mean)

Significant Figures Notice that some have very few notches (Blue, green, and purple) Are they more precise? They are less precise measurements.

Significant Figures Rules 1. All numbers 1-9 are significant 2. Zeros between numbers are significant 3. Zeros to the left of numbers are NEVER significant 4. Zeros to the right of numbers are significant ONLY IF there is a decimal point.

How many sig figs here? , 083,000,

How many sig figs here? ,000,050,

Scientific Notation This is a way of writing a number without so many zeros. A scientific number has 3 parts: the coefficient, the base, and the exponent. The base is always x10 Coefficient is a number The exponent represents the number of places you moved the decimal in order to convert from standard form to scientific notation

How to convert Rules When converting from standard form to scientific notation 1.You want to move the decimal to where there is one number decimal and 2 numbers. Example___. ___ ____ 2.If the number is less than 1, the exponent will always be negative. Example: converts to 2.8 x If the number is greater than 1, then the exponent will be positive. Example: 13,000,000 converts to 1.3 x10 7

850,000,

Scientific Notation- Practice 800,000,000 m kg 60,200 L m 4.5 x 10 3 g 6.05x m 8.0 x 10 8 m 1.5 x kg 6.02 x 10 4 L 9.5 x m 4,500 g m