Pre-Algebra Chapter 4Factors, Fractions and Exponents

4.1 Divisibility and Factors

FactorsGreatest Common FactorDivisiblePrime NumberComposite NumberPrime Factorization

Make a concept map with terms from chapter 4

4.1 Divisibility and FactorsRules 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

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

Divisibility rule for 11

Example: 121

605

47,190

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).

4.2 ExponentsExponent 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.

4.2 Exponent examplesWrite each expression with exponents

Simplify or Evaluate the expressions

4.3 Prime Factorization & GCFUse factor trees to find the prime factorization of the given numbers.a. 210 b. 588 c. 1260

Find the GCF of the following 210x3y, 588x2y, 1260x4y4.

4.4 Simplifying Fractions

4.5 Problem Solving

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

4.7 Exponents and Multiplicationa. ( b.

4.7 Exponents and Multiplication

4.8 Exponents and Division

a. P=88.2 cm b. P = 52in

4.8 Exponents and Division

a. P=88.2 cm b. P = 52in

Solve the following:

4.8 Exponents and Division

a. P=88.2 cm b. P = 52in

Solve the following:

4.9 Scientific Notation

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

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

Underconstruction