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Math Review Number Essentials

Scientific notation, Number properties, expanded notation, exponents, square roots

AB
multiplying by 10 moves decimal pt. one place to theright
dividing by 10 moves decimal pt. one place to theleft
432 written in scientific notation4.32 x 10²
0.003592 written in scientific notation3.592 x 10 ̄ ³
write 4, 378 in expanded notation4x1000 + 3x100 + 7x10 + 8x1
Order of OperationsParenthesis, Exponents, Multi./Div. (L to R). Add./Subt. (L to R)
Distributive Propertya(b ± c) = ab ± bc
positive x positive ispositive
positive ÷ positive ispostivie
positive ÷ negative isnegative
positive x negativenegative
negative ÷ negativepositive
negative x negativepositive
adding a negative is same assubtracting a positive
subtracting a negative is same asadding a positive
a negative is considered larger than aother negative whenit is further to the right on a number line
-5 is greater than -8true
absolute valuemeasures distance from zero to a a number on number line
abolute value of -5five (five units from zero on number line)
absolute value must be positivetrue
round 4362.1825 to nearest hundreth4362.18000
to multiply numbers w/ exponents you . . .add the exponents
to divide numbers w/ exponents you . . .divide the exponents
to solve (x²)³ you simply . . .mulitiply the exponents
how do you solve x² + x³ =you can't add these two quantities
x³ + x³ = what?2x³
define square root of a numberthe value that, when multoplied bu itself, equals the number
perfect squaresnumnbers whose square root is a whole nuimber



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