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Exam (elaborations)

AFOQT EXAM 2023 UPDATE |VERIFIED 100%

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AFOQT EXAM 2023 UPDATE |VERIFIED 100% Synonum - ANSWER Same meaning or definition means the same or almost the same. Antonym (n) - ANSWER a word that means the opposite of another word Classification - ANSWER #1 is a specific type of or belongs to #2 homonyms - ANSWER Words that sound the same but have different meanings also called homophones Fractions into lowest terms - ANSWER To reduce a fraction to lowest terms (also called its simplest form), divide both the numerator and denominator by the GCD. For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3. Volume of a cube - ANSWER To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. factorial or ! - ANSWER The factorial function (symbol: !) means to multiply a series of descending natural numbers. Examples: 4! = 4 × 3 × 2 × 1 = 24 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 1! = 1 Dividing Fractions - ANSWER 1/3 ÷ 2/5 = becomes: 1/3 * __ = Now we flip the second fraction (2/5) over to find its reciprocal, 5/2: 1/3 * 5/2 = Now multiply the numerators (top numbers) of the two fractions, 1*5 = 5. 1/3 * 5/2 = 5/ Now multiply the denominators (bottom numbers) of the two fractions, 3*2 = 6. We now have: 1/3 * 5/2 = 5/6 This particular fraction cannot be simplified further, so we have our answer. Types of analogies - ANSWER synonym, antonym, action, function, size, degree, amount, part to whole, member to group, units of measurement, mathematical Types of numbers - ANSWER natural: greater than 0 and has no decimal or fraction Whole: natural numbers and 0 Integer: positive/negative numbers and 0 Rational: can be represented as fraction or decimal , must terminate or resolve into repeating pattern Irrational: cannot be represented as a fraction, decimal never ends or resolves into pattern (ex. pi) Real: number that can be represented by a point on a number line. Includes all rational/irrational Imaginary: includes the imaginary unit i = square root of -1. complex: in the form of a + bi where a and b are real numbers Closed number system - ANSWER a system is closed under an operation if performing that operation on two elements of the system results in another element of that system Properties of number systems - ANSWER adding, subtracting, and multiplying are closed. dividing is not. rational numbers are closed under all operations except division real numbers are closed under all operations complex numbers are closed under all four operations irrational numbers are not closed under any of the operations Commutative property - ANSWER holds for a operation if the order doesnt matter Associative property - ANSWER the elements of an operation can be regrouped without changing the result Distributive property - ANSWER multiplication over addition allows a product of sums to be written as a sum of products: a(b+c)= ab + ac Identity element - ANSWER operation performed with an element and the identity element the result is the element (a x 1 = a) Inverse element - ANSWER operation performed with the inverse element results in the identity element a + (-a) = 0 American units - ANSWER length: inch/foot/yard/mile mass: ounce/pound/ton volume: cup/pint/quart/gallon force: pound-force pressure: pound-force per square inch work and energy: cal/british thermal unit temperature: fahrenheit charge: faraday SI units - ANSWER length: meter mass: gram volume: liter force: newton pressure: pascal work and energy: joule temperature: kelvin charge: coulomb metric prefixes - ANSWER tera: 10^12 T giga: 10^9 G mega: 10^6 M kilo: 10^3 k hecto: 10^2 h deca: 10^1 d

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