1 / 5

Numerical Expressions, Scientific Notation, Properties of Exponents

Learn how to evaluate numerical expressions, simplify and evaluate powers, use scientific notation, and apply properties of exponents.

scriss
Download Presentation

Numerical Expressions, Scientific Notation, Properties of Exponents

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. a. (–4 25)2 = 16 252 = 16,384 = 16 210 = (– 4)2(25)2 –1 115 118 = b. 118 115 = 1331 = 113 EXAMPLE 1 Evaluate numerical expressions Power of a product property Power of a power property Simplify and evaluate power. Negative exponent property = 118–5 Quotient of powers property Simplify and evaluate power.

  2. = 85,000,000 1200 EXAMPLE 2 Use scientific notation in real life Locusts A swarm of locusts may contain as many as 85 million locusts per square kilometer and cover an area of 1200 squarekilometers. About how many locusts are in such a swarm? SOLUTION Substitute values.

  3. = (8.5 107)(1.2 103) = (8.5 1.2)(107 103) = 10.21010 = 1.02 1011010 = 1.02 1011 ANSWER The number of locusts is about1.02 1011, or about102,000,000,000. EXAMPLE 2 Use scientific notation in real life Write in scientific notation. Use multiplication properties. Product of powers property Write 10.2 in scientific notation. Product of powers property

  4. 2 3 3. 9 for Examples 1 and 2 GUIDED PRACTICE Evaluate the expression. Tell which properties of exponents you used. 1. (42 )3 4096 ; Power of a power property ANSWER 2.(–8)(–8)3 4096 ; Product of a powers property ANSWER 8 ANSWER ; Power of a quotient property 729

  5. 6 10 – 4 9 107 4. for Examples 1 and 2 GUIDED PRACTICE 2 3 1011 ANSWER ; quotient of power property

More Related