Texas Instruments TI-83 Plus Manual

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Page 1: More Information
TI-83 Plus Science Tools Application How to… Use Significant Figures Calculator Use Unit Converter Tool Use Data & Graphs Wizard Use Vector Calculator Examples Significant Figures: Rules Significant Figures: Add, Subtract, Multiply, Divide, Powers Unit Converter: Converting a Value Data/Graphs Wizard: Entering and Editing Data...
Page 2 Instruments, regardless of the form of action, shall not exceed any applicable purchase price of this item or material. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.
Page 3: What Is The Science Tools Application
Display the numerical value and default units of pre- defined constants Convert displayed constants into other consistent units Convert any numerical value from one pre-defined unit to another consistent unit Export displayed or converted values to the calculator home screen TI-83 Plus Science Tools Application Page 3...
Page 4 Enter, view, or edit data View and analyze data graphically Find a best-fit function for data Perform basic statistical analysis of data • Use the tool to: Vector Calculator Construct vectors Perform basic vector operations TI-83 Plus Science Tools Application Page 4...
Page 5: What You Need
What You Need To install and run the Science Tools application, you need: • A TI-83 Plus calculator with version 1.13 or later of the operating system software to optimize the performance of your calculator and the application . You can download a free copy of the latest operating system software from education.ti.com/softwareupdates.
Page 6: Sig-Fig Calculator Tool
1. Press n to display a list of applications on your calculator. ¯ to select it. The information screen is displayed. 2. Use the arrow keys to highlight , and then press SciTools TI-83 Plus Science Tools Application Page 6...
Page 7 CALCULATOR Note If you have the international version of Science Tools installed on and then use the n menu to select Science Tools. your calculator, you must exit Fundamental Topics in Science, TI-83 Plus Science Tools Application Page 7...
Page 8: Sig-Fig Calculator Tool Features
16 characters, which includes the decimal point, negation sign(s), E (denotes scientific notation), and exponents. See the Significant Figure Rules used to round the final result. TI-83 Plus Science Tools Application Page 8...
Page 9: Addition And Subtraction
To add or subtract numbers in the Sig-Fig Calculator: 1. Enter the numbers and operators in the order the operations should be performed. 2. Press ¯ to calculate the result. The result is rounded to the correct number of significant figures. TI-83 Plus Science Tools Application Page 9...
Page 10 To multiply or divide numbers in the Sig-Fig Calculator: 1. Enter the numbers and operators in the order the operations should be performed. 2. Press ¯ to calculate the result. The result is rounded to the correct number of significant figures. TI-83 Plus Science Tools Application Page 10...
Page 11 Use integer exponents only. Non-integer exponents may produce unexpected results. For powers, the rounded result has the same number of significant figures as the base. TI-83 Plus Science Tools Application Page 11...
Page 12 Compute 1.001 + 3.4 4 25.7947. Example: no parentheses, 25.7947 4 3.4 Since the calculation contains is computed first, then 1.001 is added to the result. TI-83 Plus Science Tools Application Page 12...
Page 13 Next, press ‘. The result from the previous screen is pasted into a new screen. Multiply First, add the the result by the ohms to find the current to find the cumulative voltage. resistance. TI-83 Plus Science Tools Application Page 13...
Page 14 Set a value as “exact” so that it will not be subject to rounding. Enter a value in scientific notation. DEC or Specify whether results are displayed in decimal notation (DEC) or scientific notation (SCI). EDIT Edit the previous calculation. TI-83 Plus Science Tools Application Page 14...
Page 15 How many bytes are there in a 256K computer? If you set 1024 and 256 as If you do not exact, the use exact answer is not values, the rounded. answer is rounded to 3 significant figures. TI-83 Plus Science Tools Application Page 15...
Page 16: Scientific Notation
, that number is displayed in decimal notation. Also, numbers between 0 and 1 are always displayed in scientific notation. Enter the number 2.56 4 10 Example: TI-83 Plus Science Tools Application Page 16...
Page 17 Multiply 0.0123 by exactly 1. Any number 01 < x < 1, except 0, is always displayed in scientific notation, regardless of the display mode TI-83 Plus Science Tools Application Page 17...
Page 18 Calculate 1.74 x 372564 in scientific notation. Example: 1. Select ‘ , and then press ¯. 2. Enter 1.74 372564 To convert a calculation from one notation type to the other, use option as follows. EDIT TI-83 Plus Science Tools Application Page 18...
Page 19 2. Refer to the table below to correct the mistake. Numbers or characters at the cursor location are overwritten when you enter a new number or character. TI-83 Plus Science Tools Application Page 19...
Page 20 The initial value of the new line is + 0. Jump to the leftmost digit in the number field. Jump to the rightmost digit in the number field. TI-83 Plus Science Tools Application Page 20...
Page 21 ^ when the cursor is Delete that number or character. on a number or character ^ when the cursor is Delete the entire line. on an operator TI-83 Plus Science Tools Application Page 21...
Page 22: Significant Figures Rules
Enter 02, and then press ¯ to perform the calculation. Significant Figures Rules The Sig-Fig Calculator tool uses the following commonly employed rules to determine which figures are significant. TI-83 Plus Science Tools Application Page 22...
Page 23 Zeros at the end of a number to the right of a decimal point are 23.0000 significant. Zeros at the end of a whole 46000 number are significant only if the 46000. decimal point is shown. TI-83 Plus Science Tools Application Page 23...
Page 24: Significant Figures In Arithmetic Operations
To maintain the precision of the measurements, these calculated results should be rounded to the correct number of significant figures. The Sig-Fig Calculator tool automatically applies the following common rounding rules. TI-83 Plus Science Tools Application Page 24...
Page 25 5, the last digit is If the digit following the last digit raised by 1. 0.94728 0.947 If the digit following the last digit retained is < 5, the last digit remains the same. TI-83 Plus Science Tools Application Page 25...
Page 26 (precise to hundredths) + 213.6 (precise to tenths) 2.879 (precise to thousandths) 220.429 220.4 (precise to tenths) Example 2: 29000 (precise to thousands) (precise to tenths) 29006 29000 (precise to thousands) TI-83 Plus Science Tools Application Page 26...
Page 27 When you raise a value to a power, the base is the factor that determines the number of significant figures in the result. The exponent is always an exact value in the calculation. Example: (2 significant figures) (treated as exact) 1089 1100 (2 significant figures) TI-83 Plus Science Tools Application Page 27...
Page 28 If a mixed operation involves addition or subtraction, the final result is rounded according to the Addition and Subtraction Rules. Otherwise, the result is rounded according to the Multiplication, Division, and Power Rules. TI-83 Plus Science Tools Application Page 28...
Page 29 Exact values do not limit the number of significant figures. By definition, a centimeter contains exactly 10 Example: millimeters. To convert 24.67 centimeters to millimeters: 24.67 (4 significant figures) EXACT (select after typing 10) 246.7 (4 significant figures) TI-83 Plus Science Tools Application Page 29...
Page 30: Unit Converter Tool
The values of constants in the Unit Converter tool are the latest values recommended by the Committee on Data for Science and Technology (CODATA) and the National Institute of Standards and Technology (NIST). For more information, check the NIST web site at http://physics.nist.gov/. TI-83 Plus Science Tools Application Page 30...
Page 31: Selecting The Unit Converter Tool
1. If necessary, press \ until the menu is SELECT A TOOL displayed. ¯ to select it. The 2. Use the arrow keys to highlight , and press UNIT CONVERTER menu is displayed. UNIT CONVERTER TI-83 Plus Science Tools Application Page 31...
Page 32 Converting a Value 1. Choose the conversion category. 2. Enter the value. 3. Select the units to convert from, and then press ¯. 4. Select the units to convert to, and then press ¯. TI-83 Plus Science Tools Application Page 32...
Page 33 , the conversion unit to convert to, and then press ¯. The result is displayed. 4. Use the arrow keys to select , the conversion unit to fath Entries and results are shown in scientific notation. TI-83 Plus Science Tools Application Page 33...
Page 34 EDIT Lets you edit the converted value. workspace, press \ =. To paste the result you just converted into a new 'convert from' TI-83 Plus Science Tools Application Page 34...
Page 35: Conversion Units
(square foot) (square yard) (square mile) Volume (cubic (milliliter) (liter) (cubic meter) (teaspoon) centimeter) tbsp ozuk (tablespoon) (cubic inch) (UK ounce) (fluid ounce) galuk (pint) (quart) (gallon) (UK gallon) (cubic foot) TI-83 Plus Science Tools Application Page 35...
Page 36 (newton) (kilogram of (pound of force) (ton of force) force) Pressure mmHg (Pascal) (kiloPascal) (millimeter of (millimeter of water) Mercury) inHg lb/in (inch of (inch of (pound per (atmosphere) water) Mercury) square inch) TI-83 Plus Science Tools Application Page 36...
Page 37: Using A Constant Value
1. Select CONSTANT 2. Move the cursor to highlight the constant. 3. Select to copy the constant to a conversion screen, or COPY select to paste (export) the constant to the home EXPT screen. TI-83 Plus Science Tools Application Page 37...
Page 38 MASS conversion screen.) If the constant does not correspond to a conversion category, the UNIT CONVERTER menu is displayed. After you select a conversion category, the constant is pasted into the conversion screen. TI-83 Plus Science Tools Application Page 38...
Page 39 5. Use the arrow keys to select , the conversion unit to convert to, and then press ¯. The result is displayed. 6. Use the arrow keys to select , the conversion unit to TI-83 Plus Science Tools Application Page 39...
Page 40 MASS screen. The constant is pasted with its unit of measure. convert to, and then press ¯. The result is displayed. 4. Use the arrow keys to select , the conversion unit to TI-83 Plus Science Tools Application Page 40...
Page 41 Molar gas constant 8.314472E0 J/molK Universal gravitational 6.673E/11 Nm constant Gravitational acceleration 9.80665E0 m/s Electron mass 9.10938188E/31 kg Proton mass 1.67262158E/27 kg Neutron mass 1.67492716E/27 kg Magnetic constant 1.256637061E/6 N/A Electric constant 8.854187817E/12 C TI-83 Plus Science Tools Application Page 41...
Page 42 Constant Name Value Planck constant 6.62606876E/34 Js Speed of light in a vacuum 2.99792458E8 m/s Unified atomic mass unit 1.66053873E/27 kg TI-83 Plus Science Tools Application Page 42...
Page 43: Data And Graphs Wizard Tool
3. Press any key to continue. The menu is SELECT A TOOL displayed. press ¯ to select it. The 4. Use the arrow keys to highlight , and DATA/GRAPHS WIZARD screen is DATA/GRAPHS WIZARD displayed. TI-83 Plus Science Tools Application Page 43...
Page 44 Note If you have the international version of the Science Tools Fundamental Topics in Science, and then use the n menu to application installed on your calculator, you must exit select SCIENCE TOOLS TI-83 Plus Science Tools Application Page 44...
Page 45: Selecting An Option
DATA. R S T U V Option Lets you: DATA Enter or edit data in lists Plot data STAT Analyze data To exit the Data and Graphs Wizard tool, press \ . TI-83 Plus Science Tools Application Page 45...
Page 46: Entering Or Editing Data
Any data stored in these lists will be overwritten. Working with Lists • Data elements are rounded to six characters for display, although the list variable contains the entire value. For example, 123.4567 displays as 123.46. TI-83 Plus Science Tools Application Page 46...
Page 47 • To enter a named list, press \ . The Name = prompt is displayed, and the calculator is in alpha-lock mode so that you can enter the list name. The list name can contain up to five characters. TI-83 Plus Science Tools Application Page 47...
Page 48: Plotting Data
(free-moving cursor), or by pressing U and then After the plot is drawn, you can explore its values by pressing the pressing the arrow keys (cursor is positioned only at the data elements of the plotted lists). TI-83 Plus Science Tools Application Page 48...
Page 49 2. Select a plot type by pressing the graphing key that corresponds to the plot type. press R to For example, select for a scatterplot. R S T U V 3. Select the list that corresponds to the independent (x) variable. TI-83 Plus Science Tools Application Page 49...
Page 50 = MOD. BOXPLOT (1 VAR) Graphs the min, max, median, and third quartiles of the data. = HISTOGRAM (1 VAR) Displays a histogram of the data. TI-83 Plus Science Tools Application Page 50...
Page 51 Wizard tool, enter age (in years) in list L1; enter weight (in pounds) in list L2. L1={0,2,4,6,8,10,12,14,16,18} L2={7,27,35,44,55,71,92,110,123,124} Enter the data above into lists L1 and L2. 2. Press \ to return to the screen. DATA/GRAPHS WIZARD TI-83 Plus Science Tools Application Page 51...
Page 52 • Press S and then change the window parameters or • Press T and then select a Zoom option. Previous window parameters are not restored when you exit the Data and Graphs Wizard. TI-83 Plus Science Tools Application Page 52...
Page 53 Example: View the data from the previous scatter plot graph as an xy line. 1. Select from the screen. DATA/GRAPHS WIZARD 2. Select 3. Select list L1, which represents the independent x data set. TI-83 Plus Science Tools Application Page 53...
Page 54 6. Press \ to exit the graph. The CHOOSE A FIT METHOD menu is displayed. 7. Press \ to return to the screen, DATA/GRAPHS WIZARD or see Fitting a Graph to a Regression for more information about regressions. TI-83 Plus Science Tools Application Page 54...
Page 55 • The right whisker extends from Q3 to the maximum value maxX (represented by the tip of the right whisker). • The width of the rectangle and the length of the whiskers indicate how tightly the data is clustered around the median value. TI-83 Plus Science Tools Application Page 55...
Page 56 (in pounds) in list L3. L3={120,92,104,132,114,110,145,85,116,108} Enter the data above into list L3. 2. Press \ to return to the screen. DATA/GRAPHS WIZARD 3. Select from the screen. DATA/GRAPHS WIZARD TI-83 Plus Science Tools Application Page 56...
Page 57 Note The whiskers do not extend to the statistical outliers, defined as those data points greater than 1.54(Q31Q1) from the right or left edge of the box. Outliers are plotted as distinct points. TI-83 Plus Science Tools Application Page 57...
Page 58 (x) data set. The resulting plot shows how many data elements ) fall within certain equally-spaced intervals. Example: View the data from the previous box plot graph as a histogram. 1. Select from the screen. DATA/GRAPHS WIZARD 2. Select TI-83 Plus Science Tools Application Page 58...
Page 59 100 and < 115. the bottom of the screen. Notice that the greatest occurrence 5. Press \ to exit the graph and return to the screen. DATA/GRAPHS WIZARD TI-83 Plus Science Tools Application Page 59...
Page 60 CHOOSE A screen. FIT METHOD 3. Select a fit method. Fit Method Description Graph LIN REG Displays a linear regression that fits the model y=ax+b to the data using a least- squares fit. TI-83 Plus Science Tools Application Page 60...
Page 61 QUAD REG Displays a quadratic regression that fits the second-degree polynomial y=ax +bx+c to the data. TI-83 Plus Science Tools Application Page 61...
Page 62 (resistant line) technique, calculating the summary points for x1, y1, x2, y2, x3, and y3. LOGISTIC Fits the model equation to the data using 1+ahe an iterative least-squares fit. TI-83 Plus Science Tools Application Page 62...
Page 63: Analyzing Data
Sum of x values Sample standard deviation of x Population standard deviation of x Number of data points minX Minimum of x values First quartile Median Third quartile maxX Maximum of x values TI-83 Plus Science Tools Application Page 63...
Page 64 4. Press h to display the second screen of values. The down arrow indicates that additional values are on the next screen. 5. Press \ to return to the screen. DATA/GRAPHS WIZARD TI-83 Plus Science Tools Application Page 64...
Page 65: Vector Calculator Tool
3. Press any key to continue. The menu is SELECT A TOOL displayed. press ¯ to select it. The 4. Use the arrow keys to highlight , and VECTOR CALCULATOR screen is VECTOR CALCULATOR displayed. TI-83 Plus Science Tools Application Page 65...
Page 66 If you have the international version of the Science Tools application installed on your calculator, you must exit the n menu to select Fundamental Topics in Science application, and then use the SCIENCE TOOLS TI-83 Plus Science Tools Application Page 66...
Page 67 Display the vector math operators at the bottom of the screen Display all of the values for the vector (x, y, r, and T) VIEW PICK Select the current vector for a vector math operation TI-83 Plus Science Tools Application Page 67...
Page 68: Creating A Vector
The TI83 Plus displays angles using 0ƒ to 180ƒ, and 0ƒ to 0180ƒ Calculator tool displays 0150, not 210. notation. If you enter an angle of 210ƒ, for example, the Vector 90ƒ 210ƒ 0180ƒ 180ƒ 0150ƒ 0ƒ 090ƒ TI-83 Plus Science Tools Application Page 68...
Page 69 2. Select and then create another vector, or select NEXT MATH perform vector math. You can also press ¯ instead of selecting NEXT to display the next vector entry screen. TI-83 Plus Science Tools Application Page 69...
Page 70 • Select VIEW to view r/6 6 and X/Y values. field to edit the entries. 3. Select , and then create another vector following steps NEXT 1 and 2 above, or select perform vector math. MATH TI-83 Plus Science Tools Application Page 70...
Page 71 \ again or move the cursor to another field. Turn on insert mode. Insert mode remains on until you Clear the coordinate field. h or ` Move from one field to another. TI-83 Plus Science Tools Application Page 71...
Page 72: Adding, Subtracting, And Multiplying Vectors
When the scale factors are different, only the resultant vector is displayed. In Figure 1 below, all three vectors are shown. In Figure 2, only the resultant vector is shown. Figure 1 Figure 2 TI-83 Plus Science Tools Application Page 72...
Page 73 MATH 5. Select to perform vector math. V1 is displayed. MATH 6. Select to choose V1. The operators are displayed at the PICK bottom of the screen. 7. Select TI-83 Plus Science Tools Application Page 73...
Page 74 , where E is the angle between V1 and V2. whose magnitude is calculated by the equation ( )( ) ⋅ Work is a scalar quantity defined by the scalar (dot) product of a ⋅ force vector and a displacement vector: TI-83 Plus Science Tools Application Page 74...
Page 75 6 6 6 = 0 3. Select to enter the polar coordinates r = 50 4. Select to display the (x,y) and (r,T) values for V4. This VIEW also displays the option. MATH TI-83 Plus Science Tools Application Page 75...
Page 76 The units of measure are not displayed. You can determine these units as force times distance. For this problem, you have units of work = (units of force) (units of distance) = Nˆm. TI-83 Plus Science Tools Application Page 76...
Page 77 Example: Find the magnitude and direction of the torque imparted to a nut by applying a force of 20 N perpendicularly at the end of a 10 cm wrench. 20 N of force 10 cm TI-83 Plus Science Tools Application Page 77...
Page 78 5. Select to perform vector math. V1 is displayed. MATH 6. Select to display V5, and then select to choose it. NEXT PICK The operators are displayed at the bottom of the screen. TI-83 Plus Science Tools Application Page 78...
Page 79 = (units of force) (units of distance) = Nˆcm. Since Nˆcm is not a proper derived SI unit, you can use the Constants and Conversions tool to convert 200 Nˆcm to Nˆm. TI-83 Plus Science Tools Application Page 79...
Page 80: Deleting The Science Tools Application
Mem Mgmt/Del. 3. Use h or ` to select , and then press ¯. Apps 4. Use h or ` to select (the arrow points to SciTools SciTools 5. Press ^. 6. Select TI-83 Plus Science Tools Application Page 80...
Page 81: Science Tools Error Messages
This is a general error caused by a limitation error (such as an (such as divide-by-zero). Err: Memory This error occurs when the TI-83 Plus does not have enough free RAM to perform the operation. Also, if the unit has less than 1024 bytes, the application will not start.
Page 82: Input Error
Do not attempt a Flash download if the low-battery message appears on the calculator. Low-battery indication is shown on the initial screen. If you receive this error during an installation, change the batteries before trying again. TI-83 Plus Science Tools Application Page 82...
Page 83: Archive Full
TIGRAPH LINK link settings. If this does not correct the problem, try a different TIGRAPH LINK cable and reboot your computer. If you continue to get this error, please contact TI-Cares™ Customer Support assistance. TI-83 Plus Science Tools Application Page 83...
Page 84: Error In Xmit
Either this calculator does not have a certificate to run the application, or electrical interference caused a link to fail. Try to install the application again. If you continue to receive this error, contact TI-Cares Customer Support. TI-83 Plus Science Tools Application Page 84...
Page 85: Checking Version Numbers And Free Space
1. From the home screen, press \ /. 2. Select ABOUT The operating system version number is displayed below the calculator name and has the format x.yy. The ID number appears on the line below the product number. TI-83 Plus Science Tools Application Page 85...
Page 86 Mem Mgmt/Del. The Science Tools application requires at least 32,768 bytes of ARC FREE (Flash) to load the application. For more information about memory and memory management, refer to the TI83 Plus manual. TI-83 Plus Science Tools Application Page 86...
Page 87: Texas Instruments (Ti) Support And Service Information
Texas Instruments (TI) Support and Service Information For General Information ti-cares@ti.com E-mail: 1-800-TI-CARES (1-800-842-2737) Phone: For US, Canada, Mexico, Puerto Rico, and Virgin Islands only http://education.ti.com Home page: For Technical Questions 1-972-917-8324 Phone For Product (Hardware) Service Customers in the US, Canada, Mexico, Puerto Rico, and Virgin...
Page 88: End User License Agreement
End-User License Agreement BY INSTALLING THIS SOFTWARE YOU AGREE TO ABIDE BY THE FOLLOWING PROVISIONS. LICENSE: Texas Instruments Incorporated (“TI”) grants you a license to use and copy the software program(s) (“License Materials”) contained on this diskette/CD/web site. You, and any subsequent user, may only use the Licensed Materials on Texas Instruments calculator products.
Page 89 Verifying the Operating System Version and ID Number ........85 Verifying the Flash Application Version .............. 86 Checking the Amount of Flash Application Free Space ........86 Texas Instruments (TI) Support and Service Information........87 End-User License Agreement................88 TI-83 Plus Science Tools Application...

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