1. Factors, Fractions and Exponents
Pre-Algebra Chapter 4
Factors, Fractions and Exponents

2. 4.1 Divisibility and Factors
Make a concept map with terms from chapter 4
Factors
Greatest Common Factor
Divisible
Prime Number
Composite Number
Prime Factorization

3. 4.1 Divisibility and Factors
Rules of Divisibility 2
If the number is even, ends in 0, 2,4,6, or 8 3
If the sum of the digits is divisible by 3 4
If the last 2 digits are divisible by 4 5
If the number ends in a 0 or 5 6
If the number is even and divisible by 3 (if 2 & 3 works then 6) 7
Test 7 to see 8
If the last 3 digits are divisible by 8 9
If the sum of the digits is divisible by 9 10
If the number ends in a 0 11
Test 11 to see 12
If 3 & 4 works then 12

4. Divisibility rule for 7 Take the last digit in a number.
Double and subtract the last digit in your number from the rest of the digits.
Repeat the process for larger numbers.
Example: 224
1008
11,760

5. Divisibility rule for 11
1. Add the odd-numbered digits together (the first, third, fifth, etc). 2. Add the even-numbered digits together (the second, fourth, sixth, etc). 3. Subtract the smaller number from the bigger number. If the number you get is divisible by 11, then so is the original number. (0 is divisible by 11).
Example: 121
605
47,190

6. 4.2 Exponents
Exponent is a number that shows how many times a base is used as a factor.
Base is the repeated factor of a number written in exponential form.
Power is any expression in the form an. Power also refers to the exponent.

7. 4.2 Exponent examples Write each expression with exponents
Simplify or Evaluate the expressions

8. 4.3 Prime Factorization & GCF
Use factor trees to find the prime factorization of the given numbers.
a b c. 1260
Find the GCF of the following 210x3y, 588x2y, 1260x4y4.

9. 4.4 Simplifying Fractions

10. 4.5 Problem Solving

11. 4.6 Rational Numbers
A Rational Number is any number that can be written in the form 𝑎 𝑏 and b ≠ 0 (Can be a fraction)

12. 4.7 Exponents and Multiplication
a. ( 2 3 )( 2 5 ) b. (𝑥 5 )( 𝑥 6 )

13. 4.7 Exponents and Multiplication

14. 4.8 Exponents and Division
a. P=88.2 cm b. P = 52in

15. 4.8 Exponents and Division
Solve the following: 𝟒 𝟓 𝟒 𝟓
a. P=88.2 cm b. P = 52in

16. 4.8 Exponents and Division
Solve the following: 𝟐 𝟑 𝟐 𝟓
a. P=88.2 cm b. P = 52in

17. 4.9 Scientific Notation
Formula: a x 10n where 1≤a˂10 and n is a positive or negative integer.

18. 4.9 Scientific Notation
Standard Notation of a number is found by simplifying the product of the two factor from the number in scientific notation

19. Underconstruction