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Chapter 4

Exponents/Definitions/Fractions

Factors Example: 1, 2, 3, 4, 6 and 12 are factors of 12
Order of Operations PEMDAS
Exponent 3²=The 3² is the exponent.
Base 3²=3 is the base.
Power 3²=The ² is the power.
(-3)² Means= -3*-3
-3² Means= -(3*3)
Prime Numbers A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Composite Number A composite number is a positive integer that has at least one positive divisor other than one or itself.
GCF Greatest common factor. The greatest common factor of 6 and 4 is 2.
Variable GCF Same as GCF except with variables.
Prime Factorization In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The process of finding these numbers is called Prime Factorization.
Example 78 and 124 78= 2*36 =2* 2*18 =2*2*2*9 = 2*2*2*3*3 = 2^3* 3^2 2²*31
12x²y⁵/8x⁴y² 3y^3/2x^2
Rational Numbers In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero.
Negative Rational Numbers If both denominator and numerator are negative the whole fraction will be positive, if just one is negative the whole fraction is negative.
Power of Power Rule (3^2)^2 = 3^4
Zero Exponent Rule Zero Exponent = 1
Negative Exponent Rule You can put it on the bottom of the equation and make it positive.
Write without Negative Exponents y^2b^3/x^3a^2
Rewrite without Fraction Bar x^3y^2/a^2b^3= x^3y^2-a^2-b^3
Rewrite without zero or Negative Exponents and simplify y^5x^2/x^3
Patrick Pastor Period 2
Created by: pastorpatrick