Texas Instruments TI-30XIIB Owners Manual

Texas Instruments TI-30XIIB Manual

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  • Texas Instruments TI-30XIIB | Owners Manual - Page 1
  • Texas Instruments TI-30XIIB | Owners Manual - Page 2
    OF CONTENTS I. DESCRIPTION Features and Functions Battery Installation arid Considerations . Optional Accessories II. KEY DEFINITIONS AND INDEX BASIC OPERATIONS Turning the Calculator On Initial Display Automatic Turn-Off Data Entry Clearing Scientific Notation Exponential Shift Error Indication IV
  • Texas Instruments TI-30XIIB | Owners Manual - Page 3
    44 APPENDIX B 45 Geometric Formulas 45 APPENDIX C 46 Mathematical Expressions 46 Trigonometric Relations 46 Law of Cosines 46 Laws of Exponents 46 Laws of Logarithms 46 APPENDIX D 47 Service Information 47 In Case of Difficulty 47 Calculator Exchange Center 48 If You Need
  • Texas Instruments TI-30XIIB | Owners Manual - Page 4
    displayed value is easily retrieved without interfering with pending operations. The TI.30 turns itself off completely after typically 7 to 14 minutes of nonuse. You will never waste a battery by forgetting to turn your calculator off or by having it turned on accidentally. These features can
  • Texas Instruments TI-30XIIB | Owners Manual - Page 5
    Considerations The TI-30 operates on a 9 -volt non-rechargeable battery. which is not supplied with the calculator since its freshness cannot be ensured. An alkaline battery is recommended for your calculator. It has an operating life of approximately 20 hours. A non-alkaline battery may be used but
  • Texas Instruments TI-30XIIB | Owners Manual - Page 6
    in the compartment according to the diagram on the battery cover and snap the cover back into place Optional Accessories The following optional accessories are available from your calculator dealer or from the nearest Texas Instruments Service Facility or Exchange Center. Rechargeable Kits RK-1 and
  • Texas Instruments TI-30XIIB | Owners Manual - Page 7
    Decimal Point Key -Enters a decimal point See page 9. Fil]Change Sign Key - When pressed after number entry or a calculation. changes the sign of the number. The sign of the exponent divide or multiply, or 'V y function and instructs the calculator to multiply the displayed number by the next
  • Texas Instruments TI-30XIIB | Owners Manual - Page 8
    the display. See page 25. `r]Square Root Key -Calculates the square root of the number in the display. x 77: 0. See page 25. NE Reciprocal Key -Divides the display value into 1. 0. See page 27. Di Percent Key -Converts displayed number from a percentage to a decimal. Used with +, x,+, this key can
  • Texas Instruments TI-30XIIB | Owners Manual - Page 9
    I. In Tangent Key -Instructs the calculator to find the tangent of the displayed value. See page 30. [0,3Rani Arctengent (tan ") Sequence -Calculates the smallest angle whose tangent is in the display (first or fourth quadrant). See page 31. [14.:0 Exponent Entry and Exponent/Decimal Shift Key When
  • Texas Instruments TI-30XIIB | Owners Manual - Page 10
    of its algebraic entry format which allows entry of most problems just as they are stated. Although many operations may be obvious. the following instructions arid examples help you develop skill and confidence in problem solving. Turning the Calculator On Pressing 04. the upper right most key on
  • Texas Instruments TI-30XIIB | Owners Manual - Page 11
    number. o I through [13 Digit Keys - Enter numbers 0 through 9. Decimal Point Key - Enters a decimal point. Fr-7 Change Sign Key - When pressed after number entry or a calculation. changes the sign of the displayed number. The sign of the exponent is changed when this key is pressed after the RTC
  • Texas Instruments TI-30XIIB | Owners Manual - Page 12
    be entered into the calculator directly from the keyboard. The calculator can hold and work use scientific notation where the number is entered as a number (mantissa) multiplied by 10 raised to some power (exponent) such as 3.6089 x mantissa e■pOnent 1 _ _L-I1 '1_l ir_li t_! y mte9er decimal
  • Texas Instruments TI-30XIIB | Owners Manual - Page 13
    as the exponent. In scientific notation, a positive exponent indicates how many places the decimal point should be shifted to the right If the exponent is negative, the decimal should be moved to the left. Regardless of how a mantissa is entered in scientific notation, the calculator normalizes the
  • Texas Instruments TI-30XIIB | Owners Manual - Page 14
    problem is 15775.321 and this is the number used for further calculations. Actually, the calculator internally carries all intermediate calculations and final results to 11 places. These numbers are rounded to a maximum of 5 digits for a scientific notation mantissa or an 8-digit standard display
  • Texas Instruments TI-30XIIB | Owners Manual - Page 15
    x10'. After a number entry, press rje then an operation key or equals to produce a result in standard display format. Once in scientific notation. the calculator will remain in scientific notation format until FeW is pressed or the above procedure performed. Exponential Shift The ief-cf, key
  • Texas Instruments TI-30XIIB | Owners Manual - Page 16
    the mantissa, zeros can be added between the decimal point and the number, possibly pushing some digits out problem and begin again. The error message 4 given for the following reasons. 1. Number entry or calculation result (including summation into memory) outside the range of the calculator
  • Texas Instruments TI-30XIIB | Owners Manual - Page 17
    the calculator with its algebraic type of entry allows you to key in the problem rust as it is stated. This calculator is specially to press the key before the start of each new problem This process is not required when the previous problem used to obtain the final result Following n with a
  • Texas Instruments TI-30XIIB | Owners Manual - Page 18
    incorrect number without affecting any calculation in progress. Special circuitry has been provided to facilitate the correction of a wrong operation entered while keying in your problem. When there are no row over to the desired operation and apply whatever instruction occurs at that junction. 16
  • Texas Instruments TI-30XIIB | Owners Manual - Page 19
    the incorrect entry cannot safely be corrected to the desired operation for all conditions so the problem must be restyled. Example: 6./ x 7 4 + 03 = 45 Enter 6 7 a result is obtained in one calculation it may be directly used as the first number in a second calculation. There is no need to reenter
  • Texas Instruments TI-30XIIB | Owners Manual - Page 20
    you need to understand the standard algebraic rules that have been specifically programmed into the calculator. These algebraic rules assign square, square root. percent and reciprocal) immediately replace the displayed value with their respective functions. (y) 2) Exponentiation and roots
  • Texas Instruments TI-30XIIB | Owners Manual - Page 21
    and place. Once familiar with the order of these operations. you will find most problems are extremely easy to solve because of the straightforward manner in which they can be entered into the calculator. When parentheses are required to properly write an equation. parentheses are also available on
  • Texas Instruments TI-30XIIB | Owners Manual - Page 22
    are sequences of operations for which you must instruct the calculator exactly how to evaluate the problem and produce the correct answer. For example: 4 x (5 + 9) > (7 - a)' 3. = ? To evaluate this expression as written using only the calculator hierarchy, many independent steps would be required
  • Texas Instruments TI-30XIIB | Owners Manual - Page 23
    missing El En operand. For instance. 3 gives 6. The ) used the display value 3 for the missing operand. Example: 4 x ( stored 3 (7 - 4) evaluated 3 Prepares for exponent 2. 5. .23045268 (2 + 3) evaluated (7 than 15 parentheses or if the calculator tries to store more than four operations
  • Texas Instruments TI-30XIIB | Owners Manual - Page 24
    , 596 5 + (8/(9 - (2/3))) Because the r---1 key has the capability to complete all Incomplete operations whenever it is used it could have been used here instead of the three working this problem again arid pressing keys. Try ET) instead of the first]. Each time a closed parenthesis is
  • Texas Instruments TI-30XIIB | Owners Manual - Page 25
    .3) or y' can be stored and used by the calculator to operate on any displayed number. To use the constant feature, enter the repetitive root of each subsequent entry. After storing the constant. each calculation is completed by entering the new number and pressing F71. Clearing the calculator
  • Texas Instruments TI-30XIIB | Owners Manual - Page 26
    rounded to a 8-digit standard display or to 5 digits for scientific notation The 5/4 rounding technique built into this calculator adds 1to the least your calculator is rounded to 1. The higher order mathematical functions use iterative calculations. The cumulative error from these calculations in
  • Texas Instruments TI-30XIIB | Owners Manual - Page 27
    by parenthesis or used with the calculator hierarchy. NOTE: The right-most digit is displayed during the short time the calculator is computing a result. Be sure the calculator has completed an operation before pressing the next key. Roots and Powers The square key En calculates the square of the
  • Texas Instruments TI-30XIIB | Owners Manual - Page 28
    Your calculator also provides two universal roots and powers keys that allow you to vary the value of the exponent as well as the displayed value immediately. They require a second value before the function can be realized. Use of these DE two keys is identical Enter y. press or Irwin enter x.
  • Texas Instruments TI-30XIIB | Owners Manual - Page 29
    F-7.1 IVX-1 Display -1. 1.7202941 .58129595 Comments Enter -1 -1 + Vcri Answer Percent The percent key converts the displayed number from a percentage to a decimal. Example* 43 9% - .439 Enter Press Display 43.9 f 0 439 When I scl is pressed after an arithmetic operation, add on. discount
  • Texas Instruments TI-30XIIB | Owners Manual - Page 30
    15% of what number? Enter 2S 15 Press [24i rzl• Display 25. 166 66667 Natural Logarithm and e' The natural logarithm key F!rail calculates the natural logarithm (base e) of the number sin the display x > 0. Example: In 1 2 = .18232156 Enter 1.2 Press [11 Display .18232156 atiii The natural
  • Texas Instruments TI-30XIIB | Owners Manual - Page 31
    Common Logarithm and 10' ac The common logarithm key calculates the common logarithm (base 10) of the number x 10 to the displayed power. Example: 10 '' - 7.5858 • II) Enter 7.12 Press Li Eii._#4] Display 7.5858 08 Example: log scientific notation. are accurate within the displayed digits. 29
  • Texas Instruments TI-30XIIB | Owners Manual - Page 32
    on calculations unless the trigonometric functions are being used. scientific notation, all display digits are accurate for any degrees < 3 6 ). 10", -200 w to 200 w radians and -40.000 to 40,000 grads. In general. the accuracy decreases one digit for each decade outside this range. Example: sin 30
  • Texas Instruments TI-30XIIB | Owners Manual - Page 33
    function is 180 degrees Or radians or 200 grads). Because certain angles have identical function values within one revolution. i e., arcsin - .5 for 30' arid 150', the angle returned by each function is restricted as follows: Arc Function arcs.n x (sin x) Quadrant of Resultant Angle First (0 to
  • Texas Instruments TI-30XIIB | Owners Manual - Page 34
    Arcsin .5. for example. always returns 30° as the angle even though sin 150" = 5. sin 390" - .5. etc. as Answer Sine and cosine functions are accurate throughout all displayed digits when displayed in standard form. The tangent of '90`ortt00gradsresultsin an error condition because the function is
  • Texas Instruments TI-30XIIB | Owners Manual - Page 35
    keys for this purpose. the key sequences to convert angular units are relatively simple and can be used without affecting the memory register or calculations in progress. First. be sure the calculator is in the correct angular mode for entry of the angle to be converted. Conversion Degrees to
  • Texas Instruments TI-30XIIB | Owners Manual - Page 36
    ] C..T] 133 33333 grads 133 33333 .9 FE' 120. degrees Because of the independence of these conversions from the angular mode of the calculator, you must be extremely careful when using the results for further calculations. The angular mode must be adjusted to match the units of the results. 34
  • Texas Instruments TI-30XIIB | Owners Manual - Page 37
    Hyperbolic Functions Solving problems involving hyperbolic functions uses the exponential (L1 Lips]) capability of your calculator. Hyperbolic Sine (sunh) x > 1/2(e• - e = -fl ; e-,„ 1 Hyperbolic Cosine (cosh) x = 1/2 + e -') = Hyperbolic Tangent (tank) x = - e-' a"-1 Example: tanh 299 = .
  • Texas Instruments TI-30XIIB | Owners Manual - Page 38
    The memory keys allow data to be stored and retrieved at will for additional flexibility in calculations. Use of the memory does not affect any calculations in progress. so memory operations can be used wherever needed. Store and Recall The Store key ISTerj stores the displayed quantity in the
  • Texas Instruments TI-30XIIB | Owners Manual - Page 39
    is needed. A single press of the [OLGA key brings the eight digit x to the display each time. Notice also that the use of riq and lett.' did not interfere with calculator operations. Sum to Memory The Sum to Memory key P.A algebraically adds the display value to the memory content. This key does
  • Texas Instruments TI-30XIIB | Owners Manual - Page 40
    keys. does not disturb a sequence of calculations and can consequently be used anywhere in the solution of a problem. The ]tilt:] key permits you to solve problem 1 and store the result Then solve problem 2 and compare the results of the two problems while retaining both answers. Also, numbers can
  • Texas Instruments TI-30XIIB | Owners Manual - Page 41
    COMPLEX MATHEMATICAL METHODS Complex problems can be solved with this calculator with its multilevel algebraic quantity: they do not complete any pending operations. Example: sin 30- cos 60 + cos 30 sin 60 = 1 Select degree mode Enter 30 60 30 60 Press Fria Del t.5•11 [ ] [0,11 --]_ Display 0.5
  • Texas Instruments TI-30XIIB | Owners Manual - Page 42
    12.429216 0.0804556 .24136679 .69314718 .16730271 Product or Quotient of Sums Parentheses are usually necessary in these calculations to ensure the proper interpretation of expressions. Example: (2 + 3) (4 # = 45 Enter Press Display 0114 LE 0. 2 n 2 3 171[K] 0 5 4 E:1 4. 5 45. 40
  • Texas Instruments TI-30XIIB | Owners Manual - Page 43
    57+x)In4-((87.121---)-2)) - 6.3279647 Select radian mode Enter 3 .45 Press LE ifi rjj ai] usE m Display 0. 3. ' 0 15 '3.1415927 '1.4137167 '.98768834 EJ Di I= 2 2.7 II,11LE 0 6.21 It.] 3 Ins En '3.1415927 '9 8696044 '7.8696044 '10.772717 7.29 ' 8.21 '553.38766 '6 3160588
  • Texas Instruments TI-30XIIB | Owners Manual - Page 44
    Quadratic Equation For an equation m tne form ax' + bx + C V, t solutions for x are x = -b 2a Example: Find the roots of the equation 3r. + 8x + 5 - 0. Using the above equation: a = 3. b = 8. c = 5 x _-8 ' v18? - (4)(3)N 2x 3 Solving for the positive sign first Enter Press Display fOgl M 8 M
  • Texas Instruments TI-30XIIB | Owners Manual - Page 45
    kilometers miles 1.609344 grams ounces 28.349523 kilograms pounds 0.45359237 liters gallons (U.S.) 3.7854118 liters gallons (Imp.) 4 546090 milliliters (cc) II. ounces 29 573530 sq. centimeters sq. inches 6.4516 sq. meters sq. feet 0.09290304 sq. meters sq. yards 0 83612736
  • Texas Instruments TI-30XIIB | Owners Manual - Page 46
    General To Fled Multiply BY atmospheres feet of water 4'C .029499J atmospheres incphecsr Cof mercury .0334211 atmospheres pounds per sq. inch .068046 BTU foot-pounds .0012859 BTU joules 9 4845 x 10"' cu. ft. cords 128 degree (angle) radians 57.29578 ergs foot-pounds 135587,Y)
  • Texas Instruments TI-30XIIB | Owners Manual - Page 47
    APPENDIX B Geometric Formulas b a b 4 a Circumference: Circle 21,1 Area: Circle Ellipse Sphere Cylinder Triangle , r2 nab Ier 2 2erlr +11 that' Volume: Ellipsoid of revolution about ' axis 4/3ffla, a Ellipsoid of revolution about' b" axis 4/3Tra'b Sphere 4/3.r' Cylinder rag Cone rb'a
  • Texas Instruments TI-30XIIB | Owners Manual - Page 48
    Relations sin () Y cost) = x (1 tans) - x sin2 () + cos' (1 1 e'" = cos (1 i sin o i VL1 Law of Cosines a2 + b2 - 2ab cos c' b Laws of Exponents x '" 1 - a (ab)' = x 1,4 a' -, (a'). - a" a" - 1 Laws of Logarithms In(r) = x In y tn(ab) = in a + In b In( a ) =i In a - In b 46
  • Texas Instruments TI-30XIIB | Owners Manual - Page 49
    and proper insertion of plug into calculator. CAUTION: Use of other than a 9-volt battery or recharging kits RK-1 or RK-2 with electronic battery may apply improper voltage to your TI-30 calculator arid will cause damage. Remember also that the battery packs cannot be recharged with either charger
  • Texas Instruments TI-30XIIB | Owners Manual - Page 50
    details and the location of the nearest exchange center. It You Need Service Information If you need service information for your calculator, write Consumer Relations at: Texas Instruments Incorporated P.O. Box 53 Lubbock, Texas 7940$ or call Consumer Relations at 800-858-1802 µoll-free within
  • Texas Instruments TI-30XIIB | Owners Manual - Page 51
    documentation. please record the following information. Any correspondence concerning the calculator must mention the model serial number, and date-of-purchase. TI-30 Model No. Serial No. Purchase Date Texas Instruments reserves the right to make changes in materials & specifications without
  • Texas Instruments TI-30XIIB | Owners Manual - Page 52
    dal equneatent quality la. II s option) when the calculator is returned• postage privaid and a Texas Instruments Service ',agility fisted below In TO THE ABOVE ONE VII YEAR PERIOD TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE CALCULATOR OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS.
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