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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.

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Presentation on theme: "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."— Presentation transcript:

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3 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: 5 980 000 000 000 000 000 000 000 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

4 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

5 Are these Numbers in Scientific Notation? 33.1 x 10 4 11 x 10 2 5.3 x 10 8 9.9 x 10 11 0.3 x 10 2 5 x 10 7 2.3108 x 10 5

6 What is 561 000 000 000 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) 5.61 000 000 000 Drop the trailing zeros 5.61 Count the number of places(boinks) the decimal was moved. 561 000 000 000 Express this number as an exponent of 10 5.61 x 10 11

7 What is 420 000 000 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) 4.20 000 000 Drop the trailing zeros 4.2 Count the number of places (boinks) the decimal was moved. 420 000 000 Express this number as an exponent of 10 4.2 x 10 8

8 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 10 5

9 What is the Value of Each Exponent? 310 000 = 3.1 x 10 ? 81 000 000 = 8.1 x 10 ? 5.3 x 10 8 = ? 9.9 x 10 11 = ? 5.3 x 10 2 = ? 9 x 10 7 = ? 2.3108 x 10 5 = ?


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