Download presentation

1
**Section 1: Using Properties of Exponents**

Chapter 6 Section 1: Using Properties of Exponents

2
**Scientific Notation Example: The width of a molecule of water is about**

A number is expressed in Scientific Notation if it is in the form c 10n or c X 10n or cEn where 1 |c| 10 and n is an integer. Example: The width of a molecule of water is about 2.5 X 10-8 meter or meter.

3
**Choose all that apply. Which of the following are in scientific notation?**

3.1 x 105 12 x 105 6 x 10-2 0.12 x 10-2 -5 x 103.8

4
In 1997 Denmark had a population of 5,284,000 and a gross domestic product (GDP) of $131, 400, 000, 000. Write the population and GDP in scientific notation. 5,284,000 =5.284 x 106 $131, 400, 000, 000 =$1.314 x 1011

5
**Write the following in scientific notation**

325

6
VOCABULARY 23 Power - 23 Base – 2 Exponent - 3

7
**Recall multiplying 2 powers with the same base:**

2325 (222) (22222) = 28 5453 (5555) (555) = 57

8
**PROPERTIES OF EXPONENTS**

Let a and b be real numbers and let m and n be integers. PROPERTY NAME DEFINITION EXAMPLE Product of Powers aman = am+n Quotient of Powers Power of a Power (am)n = amn Power of a Product (ab)m = ambm (continued) 535-1 = 53+(-1) = 52 = 25 (33)2 = 332 = 36 = 729 (23)4 = 2434 = 1296

9
**PROPERTIES OF EXPONENTS**

Let a and b be real numbers and let m and n be integers. PROPERTY NAME DEFINITION EXAMPLE Quotient of Powers Negative Exponent** Zero Exponent a0 = 1, a 0 Power of a Quotient (-89)0 = 1

10
**EVALUATING NUMERICAL EXPRESSIONS**

(23)4 =(8)4 =4096 (-5)-6 (-5)4 =(-5)-6+4 =(-5)-2 (-6*35)3 =(-6*243)3 =(-1458)3 x 109

11
**1 million =1 x 106 85 million =85 x 106 =8.5 x 107**

A swarm of locusts may contain as many as 85 million locusts per square kilometer and cover an area of 1200 square kilometers. Write the density of locusts in scientific notation. 1 million =1 x 106 85 million =85 x 106 =8.5 x 107

12
**SIMPLIFYING ALGEBRAIC EXPRESSION**

(7b-3)2 b5b HW: 6.1#18-45x3

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google