Scientific Notation Scientific Notation is a shorthand way

Scientific Notation • Scientific Notation is a short-hand way of writing down really big number, or really small numbers. • The mass of the earth is: 5 980 000 000 • Saying this number is not an easy task. • Writing these zero’s is not very convenient (or fun) • To help us we use Scientific Notation

Scientific Notation Numbers expressed in scientific MUST be expressed as a product of: • a number greater or equal to one, but less than ten And • A power of ten

Are these Numbers in Scientific Notation? • • 33. 1 x 104 11 x 102 5. 3 x 108 9. 9 x 1011 0. 3 x 102 5 x 107 2. 3108 x 105

What is 561 000 000 in Scientific Notation? • 1. Place a decimal point after the first non-zero digit(giving you a number greater or equal to 1 but less than 10) • 5. 61 000 000 • Drop the trailing zeros • 5. 61 • Count the number of places(boinks) the decimal was moved. • 561 000 000 • Express this number as an exponent of 10 • 5. 61 x 1011

What is 420 000 in Scientific Notation? • 1. Place a decimal point after the first non-zero digit(giving you a number greater or equal to 1 but less than 10) • 4. 20 000 • Drop the trailing zeros • 4. 2 • Count the number of places (boinks) the decimal was moved. • 420 000 • Express this number as an exponent of 10 • 4. 2 x 108

What is 580 000 in Scientific Notation? • 1. Place a decimal point after the first non-zero digit(giving you a number greater or equal to 1 but less than 10) • 5. 80 000 • Drop the trailing zeros • 5. 8 • Count the number of places (boinks) the decimal was moved. • 580 000 • Express this number as an exponent of 10 • 5. 8 x 105

What is the Value of Each Exponent? • • 310 000 = 3. 1 x 10? 81 000 = 8. 1 x 10? 5. 3 x 108 = ? 9. 9 x 1011 = ? 5. 3 x 102 = ? 9 x 107 = ? 2. 3108 x 105 = ?