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Math Ch 2

Vocabulary

QuestionAnswer
product law of exponents: multiplying expressions with the same base a^b * a^c = a^(b+c)
order of operations: PEMDAS ()^e * / + -
product law of exponents: multiplying expressions with same exponent a^c * b^c = (a*b)^c
quotient law of exponents: dividing expressions with the same base a^b / a^c = a^(b-c)
quotient law of exponents: dividing expressions with the same exponent a^c / b^c = (a/b)^c
power of a power law of exponents: use when raising an exponent to a power (a^b)^c = a^(b*c)
base the number in an exponential expression that is multiplied by itself. In t^3, t is the base.
common factor a common factor of two or more numbers is a number that is a factor of all the numbers. Example: 5 is a common factor of 15,25 and 40.
common multiple a common multiple of a set of numbers is a multiple of all of the numbers. Example: 24 is a common multiple of 3,8 and 12.
composite number a whole number greater than 1 with more than two factors. Example 12 is greater than 1 with more than 2 factors. The 6 factors of 12 are 1,2,3,4,6 and 12.
exponent A symbol written above and to the right of a quantity that tells how many times the quantity is multiplied by itself. In t^3, 3 is the exponent.
factor A factor of a whole number is another whole number that divides into it without a remainder. 1,2,3,4,6,8,12 and 24 are factors of 24.
factor pair A factor pair for a number is two factors whose product equals that number. Factor pairs for 24 = (1,24)(2,12)(3,8)(4,6)
greatest common factor GCF GCF of 2 (or more) numbers is the largest of all the factors that is common to both (or all) of the numbers. The GCF of 24 and 36 is 12.
least common multiple LCM LCM of 2 (or more) numbers is the smallest of all the multiples that is common to both (or all) of the numbers. The LCM of 6 and 15 is 30.
multiple a multiple of a whole number is the product of that number and another whole number. 35 is a multiple of 7. It is also a multiple of 5.
power a number that is written using an exponent
prime number a whole number greater than 1 with only two factors: 1 and itself. 13 is a prime number because if has only 2 factors (1,13).
relatively prime two numbers are relatively prime if their only common factor is 1. 7 and 9 are relatively prime.
Created by: Blearys