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Chapter 4
Exponents/Definitions/Fractions
Question | Answer |
---|---|
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 |