1. 1 Section 1.5 Scientific & Engineering Notation

2. 2 Scientific Notation A number in scientific notation is expressed in the form ______________________________where and k is an ______________. Examples: i)The speed of light is approximately 186,000 mi/s. ii)The diameter of a typical individual fiber in a fiber optic communications cable is approximately 0.000005 m.

3. 3 To change a number in standard (ordinary) notation to scientific notation 1.Move the decimal point so that only ONE non- zero digit is to the left of it. This digit is. 2.The number of places the decimal point was moved is k, the power of ten. –If the decimal point is moved to the left, then k is a ______________ integer. –If the decimal point is moved to the right, then k is a ______________ integer. 3.Write the number in the form

4. 4 Operations Involving Scientific Notation Express the numbers in scientific notation, divide powers of 10 using the laws of exponents. E.g.

5. 5 Engineering Notation A number in engineering notation is expressed in the form _________________ where and k is a _____________________________. E.g. Write each number in engineering notation.