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Chap. 4 Expon.

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Rules for Divisibility   2- ends with even # 3- sum of digits ÷ 3 4- last 2 #'s ÷4 5- ends in 5 or 0 6- if ÷ by 2 & 3 8- last 3 #'s ÷ 8 9- sum of digits ÷ 9 10- ends with 0  
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Factors   Numbers that divide evenly into another number  
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Order of Operations   PEMDAS  
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Exponent   Writing repeated multiplication times you multi. the number by itself  
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Base   →2²  
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(-3)² means   Positive  
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-3²   Negative  
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Prime Numbers   Any number that has 2 factors (1 & itself)  
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Composite Numbers   Any number that has 3 or more factors  
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GCF   Greatest Common Factor largest number divisible by 2 or more numbers  
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Variable GCF (x²y⁵xy³)   xy³  
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Prime Factorization   Use prime trees  
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Finding Prime Factorization using GCF (78 124)   Make prime tree, then find like terms and simplify.  
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Simplifying Variable Expressions 12x²y⁵/8x⁴y²   20x⁶y⁷  
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Rational Numbers   Any number that can be written in the form a/b where b does not equal 0  
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Negative Rational Numbers   Write with the negative sign either out side the fraction or with the numerator.  
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Multiplying Exponent Rule   Multiply powers with the same base  
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Power of Power Rule   Multiply the exponents  
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Zero Exponent Rule   Any number written to the zero power the answer is always 1  
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Negative Exponent Rule   Rewrite with reciprocal with positive power.  
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Write with negative exponents   5^-3 (3)^-2  
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Rewrite without a fraction bar   Write in all one line, then combine like terms. x³y²/a²b³= x³y²a²b³  
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Rewrite without zero or negative exponents and simplify   x^-3y²z⁰/x^-2y^-3=x²y³y²/x³= xy  
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Created by: heifer47
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