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Pre-Algebra Chapter 4. Factors, Fractions and Exponents. 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. 4.1 Divisibility and Factors. Divisibility rule for 7.

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pre algebra chapter 4

Pre-Algebra Chapter 4

Factors, Fractions and Exponents

4 1 divisibility and factors
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

divisibility rule for 7
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
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

4 2 exponents
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.

4 2 exponent examples
4.2 Exponent examples

Write each expression with exponents

Simplify or Evaluate the expressions

4 3 prime factorization gcf
4.3 Prime Factorization & GCF

Use 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 6 rational numbers
4.6 Rational Numbers

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

4 8 exponents and division
4.8 Exponents and Division

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

4 8 exponents and division1
4.8 Exponents and Division

Solve the following:

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

4 8 exponents and division2
4.8 Exponents and Division

Solve the following:

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

4 9 scientific notation
4.9 Scientific Notation

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

4 9 scientific notation1
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