4Large and small valuesOne purpose of scientific notation is to allow you to write very large numbers and very small numbers easily, without lots of 0’s.Large numbers have positive exponents.84,912Small numbers have negative exponents.
5Scientific Notation Decimal Move decimal point right for positive exponent.Move decimal point left for negative exponent.1.312864,0002..393.4.
6Decimal Scientific Notation Move decimal point right or left to arrange one digit to the left of decimal point.1.52,314Move left 4 places2.3.2No need to move3.Move right 5 places602,000,000Move left 8 places4.
7Exercises 283.4 .00000123 34,690 .039 Rewrite in decimal form. 1.283.42.Rewrite in scientific notation.34,6903..0394.
8Computing with Scientific Notation Another purpose of scientific notation is to allow you to compute with large and small values easily using the rules of exponents.Numbers can be multiplied.
9Computing with Scientific Notation Numbers can be divided.
10Exercise Evaluate. Write answer in scientific notation. Associative propertySimplifyRewrite in SN
11Exercise Evaluate. Write answer in scientific notation. Associative propertySubtract exponentsSimplify to SN