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# Chapter 4 Review Part 1

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Chapter 4 Review: Part 1. Factors and Exponents. October 21, 2008 Lecture Notes.

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### Chapter 4 Review Part 1

1. 1. Warm Up: Rational Numbers and Scientific Notation <ul><li>Evaluate: 3m – 11/n, for m=7, n=14 </li></ul><ul><li>Evaluate: y(xy-7)/10, for x=6, y=2 </li></ul><ul><li>Scientific Notation: 0.00209 </li></ul><ul><li>Standard Notation: 8.43 x 10 6 </li></ul>
2. 2. Chapter 4 Review: Part 1 By Ms. Dewey-Hoffman October 21 st , 2008 Lecture Notes
3. 3. 4.1: Divisibility and Factors <ul><li>Knowing what is divisible by what helps you find factors. </li></ul><ul><li>A number is divisible by another number when it divides that number without a remainder. </li></ul><ul><li>One number is a factor of another number if it divides that number with no remainder. </li></ul>
4. 4. How do you determine if a number is divisible by… <ul><li>2: if the last digit is divisible by: 0, 2, 4, 6, and 8. </li></ul><ul><li>5, if the last digit is divisible by: 0 or 5. </li></ul><ul><li>10, if the last digit is divisible by: 0. </li></ul><ul><li>3, if the sum of the digits is divisible by 3. </li></ul><ul><li>9, if the sum of the digits is divisible by 9. </li></ul>
5. 5. List the Positive Factors: <ul><li>35 </li></ul><ul><li>32 </li></ul><ul><li>50 </li></ul><ul><li>75 </li></ul><ul><li>68 </li></ul>
6. 6. 4.2: Exponents
7. 7. Exponents <ul><li>There are two parts of an exponent. </li></ul><ul><li>The exponent and the base. </li></ul><ul><li>The exponent tells you how many time to multiply the base. </li></ul><ul><li>The base is also considered a factor. </li></ul><ul><li>Remember ORDER OF OPERATIONS!!! </li></ul><ul><li>Where do Exponents “factor” into Order of Operations? </li></ul>
8. 8. Solve: <ul><li>4(2y-3) 2 , for y = 5 </li></ul><ul><li>(12-3) 2  (2 2 -1 2 ) </li></ul><ul><li>2m 2 + n, for m = -3, n = 4 </li></ul>
9. 9. Prime Factorization and Greatest Common Factor (4.3) <ul><li>Prime Numbers: are numbers that are divisible by only 1 and itself. </li></ul><ul><li>Composite Numbers: are numbers that are divisible by more than just 1 and itself. </li></ul><ul><li>Factor trees are what you should use to find Prime Factorization. </li></ul><ul><li>Finding the prime factors of a number are all of the prime numbers that when multiplied together give you the original number. </li></ul>
10. 10. Find the Prime Factors <ul><li>621 </li></ul><ul><li>253 </li></ul><ul><li>1,575 </li></ul>
11. 11. Greatest Common Factor (GCF) <ul><li>Any factors that are the same for two or more numbers are common factors. </li></ul><ul><li>The greatest of these common factors are called Greatest Common Factors. </li></ul><ul><li>To find these Greatest Common Factors, find ALL of the factors! </li></ul><ul><li>Figure out which ones are Common! </li></ul><ul><li>Circle them and pull them out. </li></ul><ul><li>Find the PRIME FACTORS to make sure you have ALL of the FACTORS! </li></ul>
12. 12. Find the GCFs for These: <ul><li>180a 2 and 210a </li></ul><ul><li>6m 3 n and 8mn 2 </li></ul><ul><li>25b 2 c and 42bc </li></ul>
13. 13. Assignment #27 <ul><li>Warm Up: Page 216-217: 1-24 All. </li></ul><ul><li>AND!!! </li></ul><ul><li>Define or give an example for each of the bolded words in the three sections. </li></ul><ul><li>So get started =] </li></ul>