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D EVELOPMENTAL I R EVIEW B “Y OUR FUTURE STARTED YESTERDAY ” 1.2 ADDING AND SUBTRACTING Two _______________ numbers, add them and keep the sign. Ex. Simplify 7+5= 13 + 8 = Two _______________ numbers, add them and keep the sign. Ex. Simplify -7 + (-5) = -13 + (-8) = _______________________, then subtract the numbers and keep the sign of ___________________________ number. Ex. Simplify -7 + 5 = 13 + (-8) = If ________________, parentheses, __________________, change it to a big _____________________________ sign. Ex. -7 – (-5) = 13 - (-8) = Homework Checklist o Section 1.3 and 1.4 Adding and Subtracting 1 1.5 MULTIPLYING AND DIVIDING Same Signs If the signs are the _______________, the answer is positive. Ex. Simplify ! ! !" ! ! ! − ∙ − = = Different Signs If the signs are the ______________, the answer is negative. Ex. Simplify ! ! (−2.6) = − 2.8 2= Multiplying Decimal When multiplying with decimals, multiply ________________. Afterwards, ______________________________________ _______________________________________________ That is how many numbers should be behind the decimal. Ex. Simplify (3.3)(.02) = (.004)(13) = 2 Dividing Decimal 1. Set up as ____________________________ problem. 2. Move the ___________ decimal to the ____________. 3. Move the ___________ decimal exactly the same. Ex. Simplify !.! .!" .!!" = !" = Homework Checklist o Section 1.5 Multiplying and Dividing 1.6 EXPONENTS How many time do I multiply the number I see? Ex. Rewrite 23 = 75 = 5⋅5⋅5⋅5= If __________________ number and an _______________ exponent, my answer will be _________________________. If __________________ number and an _______________ exponent, my answer will be _________________________. Ex. Simplify (-2)2 = (-1)23 = Where is the negative? If the negative is ___________________ the parentheses my number with the exponent is _________________________. 3 If the negative is ___________________ the parentheses my number with the exponent is _________________________. * The negative comes later in the problem, after the exponent * Ex. Simplify 22 = (-2)2 = -22 = Exponent Vocabulary The exponent number 2, is read as _____________________. The exponent number 3, is read as _____________________. Any other number is read as the ______________________. Ex. Rewrite 14 squared = 1.6 ABSOLUTE VALUE three cubed = AND ORDER OF 8 to the 7th power = OPERATIONS I can remember PEMDAS as: __________________________ _______________________________________________ P______________________________________________ Absolute value bars make the inside number ______________. E______________________________________________ Radicals (__________________) are included in this category. M_____________________________________________ D______________________________________________ A______________________________________________ S______________________________________________ 4 For multiplication and division, the order doesn’t ___________. You do whatever comes first from left to right. For addition and subtraction, the order doesn’t ___________. You do whatever comes first from left to right. Ex. Simplify !! !!! !! !!!(!!) = -4 | 32 – 5 | + [ -4 +7 (2) ] ÷ | -5 | = Homework Checklist o Section 1.6 Order of Operations 5