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# GRE Math Review

### Basic Concepts Fractions,Decimals, & Exponents

product of even # of negative #'s is always... (positive or negative) positive
the product of odd # of negative #'s is always.... (positive or negative) negative
to divide fraction (3/4) / (1/2).... invert divisor and multiply 3/4 x 2/1
to multiply decimals... 1) Count # of spaces to the right of decimal 2) multiply w/o decimal. 3) place decimal in the same space when done.
to divide decimals...(process) 1) convert divisor to whole # 2)move decimal point in Dividend to the right the same # of places 3) Divide. proportion of modified dec. = proportion of origional
what is a way to estimate a reference point when asked to find x% of a # ?... find 10% of the #
how do we compare ratios? ratios are the same as fractions, thus convert to common denominator to compare.
What is the Median of a set of #'s? the one in the middle, in a set of #'s
What is the Mode in a set of #'s? the most frequently occurring # of a set
When multiplying #'s with exponents, (name process) to multiply #'s w/ exponents... > add the exponents
When dividing #'s w/exponents...(name process) (2^4)/(2^2) = to divide #'s w/ exponents... > subtract the exponents (2^4)/2^2)= 2^(4-2)=2^2= 4
to raise a # w/ exponent to another power...(name process) to raise a # w/ exponent to another power... >multiply exponents
what is the relation of a negative power to a positive power? (10^-5)+(10^X)? Negative power is reciprocal of positive power. (10^-5)=(10^1/5)
Raising a fraction between 0-1 to a power greater than 1: results in.... Raising a fraction between 0-1 to a power greater than 1: >results in a # smaller than the original. (2/3)^3= (2/3)x(2/3)x(2/3)=8/27
Negative # raised to an even power results in.... (-X^2)= Negative # raised to an even power results in.... > a positive #: (-X^2)= +(X) x (X) (same as the product of two negative #'s)
#^0 = ?... #^0 = 1
Scientific Notation means.... of (300,000) would be?.... Scientific Notation means displaying large #'s as small numbers multiplied by power of 10. of (300,000)=(3 x 10^5)
the square root of a positive fraction w/ value of less than 1.. is...? the square root of a positive fraction w/ value of less than 1... > is larger than the original fraction
Exponents of 10 will always yield how many additional zeros? 10^x = 10 +(x-1) zeros 10^2=100...10^5=100,000 10^3=1000 10^4=
10^2....10^7= 10^2= 100 10^3=1000 10^4=10,000 10^5=100,000 10^6= 10,00,000 10^7=10,000,000....