Introduction to the TI-83 and the TI-83 Plus I. Keyboard Black and white keys – the primary functions Gray and white keys – number keys Blue and white keys – common mathematical functions 2nd key – functions specified in yellow color Alpha key – alpha character specified in green color II. Turning the calculator ON and OFF To turn the calculator on press the ON key (lower left key) To turn the calculator off press ( 2nd ON in yellow) III. How to adjust the contrast Repeatedly press and release the yellow 2nd key and To darken the screen contrast, press and hold the blue arrow key To lighten the screen contrast, press and hold the blue arrow key IV. How to reset the TI-83 Press ON to turn on the calculator Press 2nd MEM Press 5 to select Reset ( 7 in the TI-83 Plus) Press 1 to Reset all memory Press 2 to select Rest Press ENTER Note: if necessary adjust the contrast by following the steps in III. V. Selecting an item from a menu Exercise 1: use the MATH menu to convert the decimal 0.24 to a fraction Type 0.24 Press MATH (fourth row of first column) to select the math menu Press 1 to select ►Frac, to convert to a fraction ENTER answer: 6/25 Exercise 2: use the MATH menu to compute 7 215 Type 7 to indicate the seventh root Press MATH Press 5 (to select the fifth sub-menu x ) 215 ENTER answer: 2.153800603 -1- Exercise 3. Use the MATH menu to find the least common multiple of 24 and 60 Press MATH Press the right arrow ► to select NUM Press 8 (or move the down arrow until to obtain lcm , press LCM lcm(24, 60) ENTER answer: 129 Exercise 4. Use the MODE menu to find the value (0.0375)(3.4576) rounded 3 decimal places MODE ▼(to Float) ► to 3 ENTER (0.0375)(3.4576) ENTER answer: 0.130 VI. How to exit a menu without making a selection 2nd QUIT will remove menus from the screen Selecting a new menu will replace an existing menu Press CLEAR to return to the screen where you were VII. Negative number Use (-) on the lower row to indicate negative numbers. Use - (under W) to indicate subtraction. VIII. Entering complex number (numbers of the form a+bi where i= 1 ) Complex numbers are entered by using the yellow i on the third column of the bottom row. Exercise 5. Simplify (1 2i ) 4 (1 – 2i)^4 ENTER answer: -7 + 24i IX. X. The ALPHA key When pressing the ALPHA key, the cursor becomes A (uppercase). The ALPHA key is used to obtain letters of the alphabet (given in green). Exercise 6. Write B1+K ALPHA B 1 + ALPHA K ALPHA – lock To enter more than one uppercase alpha character consecutively, use 2nd ALPHA. To cancel ALPHA – lock press ALPHA Exercise 7. Write ABC3D5 and A3BB5 2nd ALPHA A B C ALPHA 3 ALPHA D 5 ALPHA A 3 2nd ALPHA B B ALPHA 5 -2- XI. XII. Inserting, deleting and clearing characters 2nd INS inserts characters at the position of the cursor and shifts remaining characters to the right. DEL deletes a character at the cursor position CLEAR – on a line with text, clears the current line CLEAR – on a blank line, clears the entire home screen CLEAR CLEAR – clears the entire home screen Multiple entries on a line To enter two or more expressions or instructions on the same line, use colons ALPHA : Exercise 8. Find the value of A + B when A = 5 and B = 16 5 STO ALPHA A ALPHA : 16 STO ALPHA B A + B ENTER answer: 21 ALPHA : XIII. The MODE menu Normal Sci Eng Normal: displays results in standard numeral notation, with digits to the right and to the left of the decimal point Sci (scientific notation): displays results in the form xEn where x is a real number, 1 x 10 , and n is an integer. xEn means x 10 n To input a number in scientific form use the 2nd EE key located in the fifth row and second column. Exercise 9. Set the calculator in Scientific Mode and enter the numbers 245000, 756, 0.00023, 0.035, 45E6 MODE (to Sci) ENTER 245000 ENTER answer: 2.45E5 which means 2.45 10 5 756 ENTER answer: 7.56E2 which means 7.56 10 2 0.00023 ENTER answer: 2.3 E -4 which means 2.3 10 4 0.035 ENTER answer: 3.5E-2 which means 3.5 10 2 45EE6 ENTER answer: 4.5E7 Exercise 10. With the calculator in Scientific Mode, perform the following 2.54 10 7 5.4 10 5 operation: 3.6 10 4 2.54EE 7 5.4EE5 3.6EE 4 ENTER answer: 3.81E2 which means 3.82 10 2 or 382 -3- Eng (engineering notation): displays the output in the form xEn where a is a real number, 1 x 1000 and n is a multiple of 3. Exercise 11. Set the calculator in Engineering Mode and enter the numbers 245000, 756, 0.00023, 0.035, 45E6 MODE (to Eng) ENTER 245000 ENTER answer: 245E3 which means 245 10 3 756 ENTER answer: 756E0 which means 756 10 0 0.00023 ENTER answer: 230 E -6 which means 230 10 6 0.035 ENTER answer: 35E-3 which means 35 10 3 45EE6 ENTER answer: 45E6 MODE ▼Float – the output is given with up to 10 digits, plus any sign and the floating decimal point MODE ▼Float ►(fixed) – the output is given rounded to the specified number of decimal places Exercise 12. Set the calculator in Normal Mode and enter the following 11 numbers rounded to 4 decimal places: 0.043569, , , 35 , , e , 4.357E-2 17 MODE (to Normal) ENTER ▼(to float) ►►►►► (to 4 decimal places) 0.043569 ENTER answer: .0436 11÷17 ENTER answer: .6471 answer: 5.9161 (35) ENTER ENTER answer: 3.1416 e ENTER answer: 2.7183 4.357E-2 ENTER answer: .0436 ANGLE MODE: Radian – to input angles in radians Degrees – to input angles in degrees. Graphing MODE: Func: functional graphing, y=f(x) Pol: polar graphing , r = f( ) Param: parametric graphing, y=f(t) and x=g(t) Seq: plot of sequences -4- Connected or Dot Connected – draws a line connecting the points calculated Dot – only the calculated point of the selected function are plotted Sequential or simultaneous Sequential - plots each function completely before the next function is plotted Simultaneously - all functions selected are evaluated and plotted at a single value of x and then evaluated and plotted for the next value of x, and so on. Real and complex number modes Real – does not display complex results unless complex numbers are entered as input. Rectangular complex mode – complex numbers are displayed in the a + bi form. Polar Complex mode – complex numbers are displayed in the polar form re ^ i form. Full, horizontal – split and graph – table Full – uses the entire screen to display a graph Horizontal mode – displays the graph on the top half of the screen and the home screen on the bottom half. Graph table – displays the current graph on the left half of the screen and the table screen on the right half. XIV How to create and clear variables To assign a value to a variable use the STO key. The variable will keep the value assigned until another value is assigned to the variable, or if its value is deleted by using the MEM (the memory) key. To delete the value of a variable use 2nd MEM 2 (Del) 2 (Real) Exercise 13. Create the variables A=5, B=7 and C=2A+3B, then clear their values. 5 STO A: 7 STO B: A+B STO C ENTER answer: 12 ALPHA A ENTER answer: 5 ALPHA B ENTER answer: 7 ALPHA C ENTER answer: 12 nd 2 MEM 2 (del) 2 Real ENTER select the variables to be deleted by using the key ►A press ENTER in the TI-83 or DEL in the TI-83 Plus ►B press ENTER in the TI-83 or DEL in the TI-83 Plus ►C press ENTER in the TI-83 or DEL in the TI-83 Plus -5-