TY  - CHAP
M1  - Book, Section
TI  - Appendix D. Mathematics Review
A1  - Hamilton, Nancy
A1  - Weimar, Wendi
A1  - Luttgens, Kathryn
PY  - 2008
T2  - Kinesiology: Scientific Basis of Human Motion, 11e
AB  - 1.  Order  of  Arithmetic  OperationsCertain  arithmetic  operations  take  precedence  over  others.  In  completing  problems  with  a  series  of  operations  the  following  guidelines  apply:a.  Addition  or  subtraction  may  occur  in  any  order.Example:  4  +  8  −  7  +  3  =  8  or  8  +  3  +  4  −  7  =  8b.  Multiplication  or  division  must  be  completed  before  addition  or  subtraction.Example:  48  ÷  6  +  2  =  10Example:  4  +  (2/3)(1/2)  =  4  1/3c.  Any  quantity  above  a  division  line,  under  a  division  line  or  a  radical  sign  ,  or  within  parentheses  or  brackets  must  be  treated  as  one  number.2.  Fractions,  Decimals,  and  Percentsa.  To  add  (or  subtract)  fractions,  the  denominator  in  each  term  must  be  the  same.  (Choose  the  lowest  common  denominator  for  each  term.  Multiply  each  term  by  the  common  denominator  and  then  add  [or  subtract].)(lowest  common  denominator  =  12)Solution:(lowest  common  denominator  =  xc)Solution:b.  To  multiply  fractions,  multiply  the  numerators  by  each  other  and  the  denominators  by  each  other.c.  To  divide  fractions,  invert  the  divisor  and  multiply.d.  To  convert  a  fraction  to  a  percentage  divide  the  numerator  by  the  denominator  and  multiply  by  100.Note:  To  convert  a  percentage  to  a  decimal  move  the  decimal  point  two  places  to  the  left.e.  When  dividing  by  a  decimal  divide  by  the  integer  and  add  sufficient  zeros  to  move  the  decimal  point  the  appropriate  number  of  digits  to  the  right.(appropriate  number  of  digits  to  right  =  2)When  multiplying  by  a  decimal  multiply  the  integer  and  add  enough  zeros  to  move  the  decimal  point  the  appropriate  number  of  digits  to  the  left.(appropriate  number  of  digits  to  left  =  3)f.  Decimals  may  be  expressed  as  positive  or  negative  powers  of  10:3.  Proportions,  Formulas,  and  EquationsThe  location  of  values  in  proportions,  equations,  or  formulas  may  be  shifted  provided  that  whatever  addition,  subtraction,  multiplication,  or  division  is  performed  on  one  side  of  the  equation  is  also  performed  on  the  other  side.4.  Right  Triangles  and  Trigonometric  Equationsa.  In  a  right  triangle  one  angle  always  equals  90°.  The  other  two  angles  will  always  be  acute  angles  and  the  sum  of  these  two  angles  will  be  90°  since  the  sum  of  the  angles  in  any  triangle  is  180°.b.  In  a  right  triangle  the  sides  are  related  to  each  other  so  that  the  square  of  the  longest  side  or  hypotenuse  (c)  is  equal  to  the  sum  of  the  squares  of  the  two  sides:  c2  =  a2  +  b2.  This  is  the  Pythagorean  theorem.c.  In  triangle  ABC,  side  a  is  called  the  side  opposite  angle  A,  side  b  is  opposite  angle  B,  and  the  hypotenuse,  c,  is  opposite  the  right  angle.  Side  b  is  named  the  side  adjacent  to  angle  A  and  side  a  is  the  side  adjacent  to  angle  B.d.  Trigonometric  functions  are  ratios  between  the  sides  of  a  right  triangle  and  are  determined  by  the  value  of  one  of  the  acute  angles.  There  are  six  trigonometric  functions—the  sine,  cosine,  tangent,  cotangent,  secant,  and  cosecant—but  it  will  be  necessary  to  consider  only  the  first  four  here.In  Δ  ABC  the  ratio  between  the  side  ...
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PB  - The McGraw-Hill Companies
CY  - New York, NY
Y2  - 2024/04/18
UR  - accessphysiotherapy.mhmedical.com/content.aspx?aid=6153766
ER  -