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