RT Book, Section A1 Hamilton, Nancy A1 Weimar, Wendi A1 Luttgens, Kathryn SR Print(0) ID 1100791932 T1 Mathematics Review T2 Kinesiology: Scientific Basis of Human Motion, 12e YR 2011 FD 2011 PB McGraw-Hill, a business unit of The McGraw-Hill Co PP New York, NY SN 978-0-07-802254-8 LK accessphysiotherapy.mhmedical.com/content.aspx?aid=1100791932 RD 2023/12/02 AB Order of Arithmetic OperationsCertain arithmetic operations take precedence over others. In completing problems with a series of operations the following guidelines apply:Addition or subtraction may occur in any order.Example: 4 + 8 − 7 + 3 = 8 or 8 + 3 + 4 − 7 = 8Multiplication or division must be completed before addition or subtraction.Example: 48 ÷ 6 + 2 = 10Example: 4 + (2/3)(1/2) = 4 1/3Any quantity above a division line, under a division line or a radical sign Display Formula(000), or within parentheses or brackets must be treated as one number.Example:Display Formula32-25=11Example: 2(5 + 3 − 4) = 8Example:Display Formula9+23=113Fractions, Decimals, and PercentsTo 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].)Example:Display Formula34+53=2912=2⁢512(lowest common denominator = 12)Solution:Display Formula(34×1212)+(53×1212)=912+2012=2912=2⁢512Example:Display Formulacdx+xc=c2d+x2xc(lowest common denominator = xc)Solution:Display Formula(cdx·xcxc)+(xc·xcxc)=c2dxc+x2xc=c2d+x2xcTo multiply fractions, multiply the numerators by each other and the denominators by each other.Example:Display Formula38·23=624=14Example:Display Formulapq(pq)=p2q=p2To divide fractions, invert the divisor and multiply.Example:Display Formula38÷92=38×29=672=112Example:Display Formulanr÷st=nr×ts=ntrsExample:Display Formula(1a+1b)÷(1a-1b)=b+aab·abb-a=b+ab-aTo convert a fraction to a percentage divide the numerator by the denominator and multiply by 100.Example:Display Formula38=0.375×100=37.5%Note: To convert a percentage to a decimal, move the decimal point two places to the left.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.Example: 36 ÷ 0.04 = 900 or36 ÷ 4 = 9 plus 00 = 900(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.Example: 6 × 0.012 = 0.072 or6 × 12 = 72 plus 0 to left 0.072(appropriate number of digits to left = 3)Decimals may be expressed as positive or negative powers of 10:100 = 1101 = 10102 = 100103 = 1000Example: 5,624 = 56.24 × 102 = 5.624 × 103 =. 5624 × 10410−1 = 0.110−2 = 0.0110−3 = 0.00110−4 = 0.0001Example: 0.0379 = 3.79 × 10−2 = 37.9 × 10−3 = 379 × 10−4Proportions, 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.Example:Display Formulaab=cdSolve for d:Display Formulad·ab=cd·dd·ab·ba=c·bad=c·baExample:Display Formulav2=u2+2⁢asSolve for s:Display Formula2⁢as=v2-u2s=v2-u22aRight Triangles and Trigonometric EquationsIn 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°.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: Display Formulac2=a2+b2. This is the Pythagorean theorem. Graphic Jump LocationView Full Size||Download Slide (.ppt)In triangle ABC, side a is called the side opposite angle A, ...