Chapter 5: Lesson 1: Powers of 10 and Scientific Notation Objective: Learn to use exponents to write powers of 10. Learn to write large numbers in scientific notation.

You have seen some numbers that are too large to be written down easily. Today you’ll learn a method created by scientists that make it easier to write and work with very large numbers. You can write 10 × 10 ×10 as 103 because there are the three 10s multiplied together. 10 x 10 x 10 = 1000 which is called a power of 10. Numbers such as 10, 100, 1000, 10,000, are also powers of 10. Examples: Evaluate 107 = 10,000,000 Evaluate 105 = Evaluate 109 =

The numbers you have seen so far have been written in standard form The numbers you have seen so far have been written in standard form. The number 88,000 is written in Standard Form. But it can also be expressed in powers of 10. Scientific Notation is a way of writing large numbers. A number in scientific notation needs to have 3 parts: a number greater than × a power of 10 or equal to 1 but less than 10 Example: 8.8 × 104 Your example: Write each number in scientific notation. 31,700,000,000 2) 9,600.5

Examples: Write in scientific notation. * 93,000 * 1,030,000,000 To write the numbers in standard form: You must move the decimal point the same amount of spaces as the exponent. Write in standard form. 1) 4.1 × 105 2) 2.894 × 108 5.98 × 106 4) 1.32 × 1010

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