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International Journal of Advances in Engineering &
College Level 98%
The solutions are x = . (Type exact answers, using radicals as needed. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) B.
Checkpoint Math 1) Place value, ordering and rounding Place value Rounding Decimal places Order of operations Length, mass and capacity Conversions of length Conversions of mass Conversions of capacity Reading scales Integers, powers and roots Integers Factors and multiples Prime numbers and prime factors HCF LCM Square roots Fractions, decimals and percentages Fractions of a quantity Equivalent fractions Simplification of fractions Addition and Subtraction of fractions Division of fractions Improper fractions Changing between mixed numbers and improper fractions Changing fraction to decimal and percentage Changing a decimal to a fraction and percentage Changing percentage to decimal and fraction Simple percentages of a quantity Word problems Division and fraction of a quantity Calculating fractions and decimals of a quantity Division and remainders Rounding up or down Collecting and displaying data Primary and secondary data collection techniques Organizing data Pictogram Bar graph Bar-line graph Pie-chart Averages Time Mean Median Mode Range Calculations using frequency tables 12-hour clocks 24-hour clocks Word problems Expressions Simplifying expressions Expanding expressions Equations and simple functions Solving equations with variable on one side Solving equations with variable on both sides Word problems Functions Formulae and substitution Substitutions into expressions Substitutions into formulae Ratio and proportion Fractions and ratios Equivalent ratios Direct proportion Measurement and construction Lines and angles Constructing triangles Constructing simple geometric figures using protractor and ruler Angle properties Angles on a straight line Angles around a point Alternate angles Corresponding angles Vertically opposite angles Angles of a triangle Angles of a quadrilateral Area and perimeter of rectangles Area and perimeter Composite shapes Word problems Cubes and cuboids Volume Surface area Coordinates Reading coordinates of points Plotting coordinates Sequences Sequences in diagram Term to term rules Probability Possible outcomes Equally likely outcome Mutually exclusive Experimental probability Theoretical probability We wish you all a fantastic summer, and will see you again on Tuesday, 15th August, 2017.
D1.1 V1.0 98%
Discussion with BBK clarifying overlap of D1.1 and D1.2 0.2 12/08/2013 First version of procedural/conceptual knowledge section from RUB 0.3 20/08/2013 Second version of procedural/conceptual knowledge section and first version of Fractions Tutor section from RUB 0.4 – 0.7 3/09/2013- 16/09/2013 RUB – IOE iterations over procedural/conceptual knowledge sections.
International Journal of Advances in Engineering &
Edexcel Higher Number Checklist 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Number Adding and subtracting fractions Checking calculations Compound measures Converting metric units Estimation Fractions and percentages Fractions and ratio problems Interpret calculator displays LCM and HCF Multiples and factors Multiplying fractions Operations Order of operations Powers Rounding Standard Form Terminating decimals and fractions Calculating with fractions Error intervals Index Laws Limits of accuracy Finance 1 Powers and Roots Product of prime factors Using Pi Index Laws (negative and fractional) Product rule Recurring Decimals Upper and lower bounds Surds 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 9 Ratio &
Irrational numbers (can’t be expressed as a fraction) Integers (can be positive, negative, or zero) Prime numbers (1,2,3,5,7,11,13,17,19,23,29…) Fundamental Properties of Operations Commutative Property (x + y = y + x and xy = yx) Associative Property (x + y) + z = x + (y + z) and (xy)z = x(yz) Distributive Property x(y + z) = xy + xz and x y x y z z z Order of Operations (PEMDAS—Please Excuse My Dear Aunt Sallie) Scientific Notation [ 1250 1.25 10 3 3 (6.4 10 )(2.0 10 ) 9 0.00125 1.25 10 3 ] 1.25 10 3 2.5 10 5 Fractions Adding/Subtracting Fractions Multiplying/Dividing Fractions Mixed Numbers/Improper Fractions 1 1 4 2 4 9 1 5 4 9 1 3 4 2 4 9 9 5 11 9 3 1 2 3 4 3 3 1 2 3 4 3 Comparing Fractions 1.
DOSSIER TIPE (1) 93%
De même, un terme F(n, k) sera dit doublement hypergéométrique si F(n+1,k) F(n,k) et F(n,k+1) F(n,k) sont des fractions rationnelles en n et k.
AC Simplifying fractions EA AA Exercise 1 Where possible simplify the following fractions.
READING MATERIALS ON QUANTITATIVE APTITUDE CONTENTS SR.NO. TOPICS PAGE NO. 1 H C F AND L C M 2 2 FRACTION 3 3 ELEMENTARY ALGEBRA 4 4 NUMBER SYSTEM 5 5 PROBLEM BASED ON AGES 8 6 SIMPLE INTEREST AND COMPOUND INTEREST 9 7 PERCENTAGE 10 8 AVERAGE 13 9 RATIO AND PROPORTION 16 10 PARTNERSHIP 20 11 TIME AND WORK & PIPES AND CISTERNS 22 12 ALLIGATION 26 13 PROFIT AND LOSS 29 14 TIME, SPEED AND DISTANCE 33 15 TRAINS 39 16 BOATS & STREAMS 43 17 MENSURATION 47 18 QUESTIONS FOR PRACTICE www.studentguide.co.in • • • Buy Books & Magazines Online • Free Email & SMS Solved Question Papers & Video • Tutors • Mock Exams (CAT, IIT, Gate, etc) Scholarships & Loans Expert Advice & Discussion Board HCF & LCM In order to understand this concept, we need to learn some words Factor ‐ One number is said to be a factor of another when it divides the other exactly. Eg‐ 6 & 7 are factors of 42. Highest Common Factor ‐ Hcf of two or more numbers is the greatest number that divides each of them exactly. Thus ,6 is the HCF of 18 & 24.Because there is no number greater than 6 that divides both 18 & 24. eg‐ HCF of 1365,1560& 1755 1365 = 3*5*7*13 1560 = 2*2*2*3*5*13 1755 = 3*3*3*5*13 HCF = 3*5*13 = 195 Relation between HCF & LCM HCF(n1,n2) x LCM(n1,n2) = n1 x n2 after expressing the given fractions in lowest terms. LCM ‐ lcm of two or more given numbers is the least number which is exactly divisible by each of them. 15 is a common multiple of 3 & 5 LCM of 8, 12, 15, 21 8= 2*2*2* 12= 2*2*3 15 = 3*5 www.studentguide.co.in • • • Buy Books & Magazines Online • Free Email & SMS Solved Question Papers & Video • Tutors • Mock Exams (CAT, IIT, Gate, etc) Scholarships & Loans Expert Advice & Discussion Board 21= 3*7 Here, the prime factors that occur in the given numbers are 2, 3, 5, 7 and their highest powers are respectively 2*2*2, 3, 5, & 7. Hence , the required LCM = 2*2*2**3*5*7= 840 Ex1: The LCM of two numbers is 2079 and their HCf is 27. If one of the numbers is 189, find the other ? sol. the required number= LCM * HCF /first number= 2079*27/189 = 297 Some questions on this topic Q1. Find the least number of square tiles required to pave the ceiling of a hall 15m 17cm long and 9m 2cm broad. Ans ‐ 814 Q2. Find the HCF & LCM of 4/5, 5/6, 7/15? Ans ‐ HCF = 1/30 LCM = 140 HCF of decimals step 1 ‐first of all , we make the same no. of decimal places by putting zero or zeroes in the given no .It is done only when the nos have different decimal places i.e. 1.3,1.32 step II ‐ find the HCF of the given numbers without taking decimals into consideration i.e. as integers step III ‐ put in the result , i.e. HCF as many decimal places as there are in each of the numbers after making them same in step 1. (TOP) www.studentguide.co.in • • • Buy Books & Magazines Online • Free Email & SMS Solved Question Papers & Video • Tutors • Mock Exams (CAT, IIT, Gate, etc) Scholarships & Loans Expert Advice & Discussion Board FRACTIONS Proper Fraction: is one whose numerator is less than denominator. eg ‐ 3/4, 17/19 Improper fraction: a fraction whose numerator is equal to or greater than the denominator . eg ‐ 17/12, 18/5 Complex fraction: is one in which the numerator or denominator or both are fractions. eg ‐ 5'7/8 Q. Simplify : 7 3 ‐ 2 ‐‐‐‐‐‐‐‐‐‐ ÷ ‐‐‐‐ 5/7 5‐8/3 3‐ 3/2 ‐‐‐‐‐‐‐‐‐‐‐‐‐ 4‐ 3/2 Q2. One ‐quarter of one seventh of a land is sold for Rs 30,000. What is the value of an eight thirty ‐ fifths of land? Ans‐ one quarter of one seventh = 1/4 * 1/7= 1/28 8/35 of the land will cost 30,000*28*8/35 = Rs 1,92,000. Recurring Decimals: a decimal in which a figure or set of figures is repeated continually . eg ‐ 1/3 = 0.333‐‐‐‐‐‐ www.studentguide.co.in • • • Buy Books & Magazines Online • Free Email & SMS Solved Question Papers & Video • Tutors • Mock Exams (CAT, IIT, Gate, etc) Scholarships & Loans Expert Advice & Discussion Board Simplify: Q1. 9.5* 0.085/0.0017 * 0.19 (Ans‐ 0.01) Q2. (0.6bar + 0.7bar +0.8bar + 0.3bar) * 9000 = 24,000 (top) ELEMENTARY ALGEBRA Algebraic Expressions: .a number , including literal numbers , along with the signs of fundamental operations . Eg: Find the sum of 1) ‐15a2 +3ab ‐6b2 , a2 ‐5ab + 11b2 ,‐7a2 ‐18ab ‐13b2 and 26a2 ‐16ab ‐7b2 Ans‐ 5a2 ‐36ab ‐15b2 Remainder Theorem: this theorem represents the relationship between the divisor of the first degree in the form (x‐a) and the remainder r(x) Q: Find the remainder when 27x3 ‐9x2 +3x‐ is divided by 3x+2 Ans : 3x+2=0 , x = ‐2/3 remainder is f(‐2/3) f(‐2/3) = 27(‐2/3)3 ‐9(‐2/3)2 +3(‐2/3) ‐8 www.studentguide.co.in • • • Buy Books & Magazines Online • Free Email & SMS Solved Question Papers & Video • Tutors • Mock Exams (CAT, IIT, Gate, etc) Scholarships & Loans Expert Advice & Discussion Board
Power Plant Fuel Management Part 1 Fuel Coal 1 Coal 2 Coal 3 Fraction Sulfur (ppm) 0.0579710128 1100 0.5507246362 3500 0.3913043509 1300 PM(kg/T) 1.7 3.2 2.4 Pounds of Steam 24000 36000 28000 W/out Scrubbers Objective Cell Variable Cells Constraint Cells W/Scrubbers Constraints Fraction Sulfur (ppm) PM(kg/T) Used 1 2499.9999971 2.8 Max Total Steam 32173.9130385132 1 2500 2.8 Objective Cell Variable Cells Constraint Cells Part 2 Fuel Coal 1 Coal 2 Coal 3 $ w/out scrubbers $ w/scrubbers Fraction Sulfur (ppm) PM(kg/T) Fraction Sulfur (ppm) 0 1100 0.8295454545 3500 0.1704545455 1300 PM(kg/T) 1.7 3.2 2.4 Pounds of Steam 24000 36000 28000 $/T 95 83 91 $ 84.363636364 85.863636364 1 2500 2.4509090909 Total Steam 34636.3636363636 1 2500 2.8 Part 1 of this excel sheet uses optimization modeling to find the ideal fractions of 3 different types of coal to maximize profit, while staying in compliance with pollution constraints.
Eliane IJNP N2 89%
ravenelii, the chromatographic procedures undertaken for the cultures furnished 12 fractions with yieldings ranging from 76.5 mg for CH2Cl2 (PDB/216 h) to 4.636 mg for CH2Cl2 (rice-oat/720 h).
Check Price Average Customer Rating 4.8 out of 5 Product Feature ● ● ● ● ● Easily solve any fraction problem Check homework answers in seconds Easily work with imperial measurements Adjusts recipe quantities with ease Read more You May Also Like Learn Math by WAGmob Convertor Pro Fraction Calculator Calculator Plus Fractions/Decimal Calculator This content is part of amazon service LLC associates program, an affilate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to amazon.
Adding mixed numbers and fractions (unlike denominators) Grade 5 Fractions Worksheet Find the sum.
math words 86%
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Equations, Local Behavior, Local Maximum, Local Minimum, Locus, Logarithm, Logarithm Rules, Logarithmic Differentiation, Logistic Growth, Long Division of Polynomials, Lower Bound, Lower Quartile, LSRL, LUB, Maclaurin Series, Magnitude, Magnitude of a Vector, Main Diagonal of a Matrix, Major Arc, Major Axis of an Ellipse, Major Axis of a Hyperbola, Major Diameter of an Ellipse, Mathematical Model, Matrix, Matrix Addition, Matrix Element, Matrix Inverse, Matrix Multiplication, Matrix of Cofactors, Matrix Subtraction, Maximize, Maximum of a Function, Mean, Mean of a Random Variable, Mean Value Theorem, Mean Value Theorem for Integrals, Measure of an Angle, Measurement, Median of a Set of Numbers, Median of a Trapezoid, Median of a Triangle, Member of an Equation, Menelaus’s Theorem, Mensuration, Mesh, Midpoint, Midpoint Formula, Min/Max Theorem, Minimize, Minimum of a Function, Minor Arc, Minor Axis of an Ellipse, Minor Axis of a Hyperbola, Minor Diameter of an Ellipse, Minute, Mixed Number, Möbius Strip, Mode, Model, Modified Boxplot, Modular Arithmetic, Modular Equivalence, Modular Equivalence Rules, Modular Numbers, Modulo n, Modulus of a Complex Number, Modus Ponens, Modus Tolens, Moment, Monomial, Mu (Μ μ), Multiplication Rule, Multiplicative Inverse of a Matrix, Multiplicative Inverse of a Number, Multiplicative Property of Equality, Multiplicity, Multivariable, Multivariable Analysis, Multivariable Calculus, Multivariate, Mutually Exclusive, MVT, n-Dimensional, n Dimensions, Natural Domain, Natural Logarithm, Natural Numbers, Negative Direction, Negative Exponents, Negative Number, Negative Reciprocal, Negatively Associated Data, Neighborhood, Newton's Method, n-gon, No Slope, Non-Adjacent, Nonagon, Noncollinear, Non-Convex, Non-Euclidean Geometry, Noninvertible Matrix, Nonnegative, Nonnegative Integers, Non-Overlapping Sets, Nonreal numbers, Nonsingular Matrix, Nontrivial, Nonzero, Norm of a Partition, Norm of a Vector, Normal, Normalizing a Vector, nth Degree Taylor Polynomial, nth Derivative, nth Partial Sum, nth Root, nth Root Rules, n-tuple, Nu (Ν ν), Null Set, Number Line, Numerator, Oblate Spheroid, Oblique, Oblique Asymptote, Oblique Cone, Oblique Cylinder, Oblique Prism, Oblique Pyramid, Obtuse Angle, Obtuse Triangle, Octagon, Octahedron, Octants, Odd/Even Identities, Odd Function, Odd Number, Odds, Odds Against, Odds in Favor, Odds in Gambling, Omega (Ω ω), Omicron (Ο ο), One Dimension, One-Sided Limit, One-to-One Function, Open Interval, Operations on Functions, Opposite Reciprocal, Order of a Differential Equation, Ordered Pair, Ordered Triple, Ordinal Numbers, Ordinary Differential Equation, Ordinate, Origin, Orthocenter, Orthogonal, Outcome, Outlier, Oval, Overdetermined System of Equations, p-series, Paired Data, Pappus’s Theorem, Parabola, Parallel Cross Sections, Parallel Lines, Parallel Planes, Parallel Postulate, Parallelepiped, Parallelogram, Parameter (algebra), Parametric Derivative Formulas, Parametric Equations, Parametric Integral Formula, Parametrize, Parent Functions, Parentheses, Partial Derivative, Partial Differential Equation, Partial Fractions, Partial Sum of a Series, Partition of an Interval, Partition of a Positive Integer, Partition of a Set, Pascal's Triangle, Pentagon, Per Annum, Percentile, Perfect Number, Perfect Square, Perimeter, Period of a Periodic Function, Period of Periodic Motion, Periodic Function, Periodic Motion, Periodicity Identities, Permutation, Permutation Formula, Perpendicular, Perpendicular Bisector, Phase Shift, Phi (Φ φ), Pi (Π π), Piecewise Continuous Function, Piecewise Function, Pinching Theorem, Plane, Plane Figure, Plane Geometry, Platonic Solids, Plus/Minus Identities, Point, Point of Division Formula, Point of Symmetry, Point-Slope Equation of a Line, Polar Angle of a Complex Number, Polar Axis, Polar Conversion Formulas, Polar Coordinates, Polar Curves, Polar Derivative Formulas, Polar Equation, Polar Form of a Complex Number, Polar Integral Formula, Polar-Rectangular Conversion Formulas, Polygon, Polygon Interior, Polyhedron, Polynomial, Polynomial Facts, Polynomial Long Division, Population, Positive Direction, Positive Number, Positive Series, Positively Associated Data, Postulate, Power, Power Rule, Power Series, Power Series Convergence, Precision, Pre-Image of a Transformation, Prime Factorization, Prime Number, Principal, Prism, Probability, Product, Product Rule, Product to Sum Identities, Projectile Motion, Prolate Spheroid, Proof by Contradiction, Proper Fraction, Proper Rational Expression, Proper Subset, Properties of Equality, Proportional, Psi (Ψ ψ), Pure Imaginary Numbers, Pyramid, Pythagorean Identities, Pythagorean Theorem, Pythagorean Triple, Q1, Q3, QED, Quadrangle, Quadrantal Angle, Quadrants, Quadratic, Quadratic Equation, Quadratic Formula, Quadratic Polynomial, Quadrilateral, Quadruple, Quartic Polynomial, Quartiles, Quintic Polynomial, Quintiles, Quintuple, Quotient, Quotient Rule, Radian, Radical, Radical Rules, Radicand, Radius of a Circle or Sphere, Radius of Convergence, Range, Ratio, Ratio Identities, Ratio Test, Rational Equation, Rational Exponents, Rational Expression, Rational Function, Rational Numbers, Rational Root Theorem, Rational Zero Theorem, Rationalizing Substitutions, Rationalizing the Denominator, Ray, Real Numbers, Real Part, Reciprocal, Reciprocal Identities, Reciprocal Rule, Rectangle, Rectangular Coordinates, Rectangular Form, Rectangular Parallelepiped, Recursive Formula of a Sequence, Reduce a Fraction, Reduced Row-Echelon Form of a Matrix, Reference Angle, Reflection, Reflexive Property, Regression, Regression Equation, Regression Line, Regular Dodecahedron, Regular Hexahedron, Regular Icosahedron, Regular Octahedron, Regular Polygon, Regular Polyhedra, Regular Prism, Regular Pyramid, Regular Right Prism, Regular Right Pyramid, Regular Tetrahedron, Related Rates, Relation, Relative Maximum, Relative Minimum, Relatively Prime, Remainder, Remainder of a Series, Remainder Theorem, Removable Discontinuity, Residual, Restricted Domain, Restricted Function, Rho (Ρ ρ), Rhombus, Riemann Sum, Riemannian Geometry, Right Angle, Right Circular Cone, Right Circular Cylinder, Right Cone, Right Cylinder, Right Prism, Right Pyramid, Right Regular Prism, Right Regular Pyramid, Right Square Parallelepiped, Right Square Prism, Right Triangle, RMS, Rolle's Theorem, Root Mean Square, Root of an Equation, Root of a Number, Root Rules, Root Test, Rose Curve, Rotation, Rounding a Number, Row-Echelon Form of a Matrix, Row of a Matrix, Row Operations, Row
Sam Ludicious 86%
Not only sums, but also subtraction, multiplication and fractions are being tested through the different stages, making each a different challenge.