Casio Fx82LB Manual
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6 Mastering the calculator using the Casiofx-82LB You can use the key but you must press it after the 7. The key strokes are The display should read -3. You could also use the keystrokes In this case the calculator recognises the – as a negative (not recommended to do it this way). 3. Multiplication and division 3.1 To multiply numbers Find the key (it is shown on the photograph of your calculator here). key for division key for multiplication
Mastering the calculator using the Casiofx-82LB 7 Example To multiply 7 and 3, type The display should read 21 To find 753 × 492, type The display should read 370 476 3.2 To divide numbers Find the key (it is shown on the photograph of the calculator) Example To divide 35 by 7, type The display should read 5 To divide 7 905 by 85, type The display should read 93 To divide 56 by 23947 type The display should read 0.002338497 If it reads 2.3385×10- 03 or something similar, then your calculator is in SCI (Scientific mode). See page 2 to change to NORM (normal mode).
8 Mastering the calculator using the Casiofx-82LB 3.3 Combining multiplication and division Example If the question is then it is really 27 ÷ 7 ÷ 4. Try it. The display should read 0.964285714 4. Brackets Find the set of bracket keys on your calculator. The fx-82 allows you to use many sets of brackets. Example Do the calculation 471 – (93 + 11 + 2) on the calculator. (Make sure your calculation is in ordinary comp. mode press ) 27 74 ×------------ LH bracket key RH bracket key
Mastering the calculator using the Casiofx-82LB 9 The keystrokes required are The display should read 365. Notice before you press the display shows 106. This is the result of the sum 93 + 11 + 2. Sometimes in calculations you will see other grouping symbols, for example, { } (called braces), [ ] (called square brackets). Try these examples: Exercise 1 (a) 25 + (7 + 2 – 4) (b) 18 (3 + 7) [a multiplication sign is understood 18 × (3 + 7)] (c) 4 + 5 [2 (3 + 7)] [to use two sets of brackets just press the same button] (d) Answers: 30; 180; 104; 1 5 32+ ()-----------------
10 Mastering the calculator using the Casiofx-82LB 5. Powers 5.1 Squaring and higher powers 62 means 6 × 6. You can use the square key to do this calculation. (It is shown on the photograph of your calculator here.) Press the display should read 36. Or you can use the power key on your calculator. Find the xy key on your calculator. It should be above the Example To square 6, that is, find 62, type The display should read 36 [The first number you put in is the 6. This is the x and the second number you put in (2) is y. That is why it is called the xy key.] power key square root key and square key
Mastering the calculator using the Casiofx-82LB 11 To find 273 the required key strokes are and the display should read 19683. If you have learnt your multiplication tables you will already know the squares of the whole numbers from 1 to 12 and thus be able to complete much of the following table. __________________________________________________________________________ Exercise 2 Use your calculator to find the squares of the whole numbers from 13 to 25 and any other squares you are unsure of. __________________________________________________________________________ Exercise 3 You can use this key for other powers as well. Try these examples (a) 74 (b) 810 (c) (0.4)6 (you do not have to type the brackets in) (d) (–7)6 (you need to type the brackets in) (e) 50.4 (f) 5–4 __________________________________________________________________________ 12 = 1112 =212 = 22 = 4122 =222 = 32 = 9132 =232 = 529 42 =142 =242 = 576 52 =152 =252 = 625 62 =162 = 72 =172 = 82 =182 = 92 =192 = 102202
12 Mastering the calculator using the Casiofx-82LB Answers: (a) 2401 (b) 1073741824 (c) 4.096 × 10–3 or 0.004096 (you move the decimal 3 places to the left) (d) 117649 (e) 1.903653939 (f) 0.0016 [Just press 5–4 is the same as so you could press to get the same answer] __________________________________________________________________________ 5.2 Square Root Finding the square root of a number ‘undoes’ or ‘neutralises’ the squaring of the number and vice versa. The symbol for square root is (This is called the radical sign) The square root of 36 is written as Now because 62 = 36, . Find the square root key on your calculator and type The display will read 6. What do you think is? = __________________________________________________________________________ You should have said 9 because 92 = 81 (Check your calculator) __________________________________________________________________________ What do you think will be? You should have said ‘you can’t find the square root of a negative’ since you can’t find a number that squares to give a positive. Your calculator will say –E–. 1 5 4----- 36 366= 8181 49–
Mastering the calculator using the Casiofx-82LB 13 Exercise 4 Try these by looking at the table of squares you completed on the previous page and then check your answers on your calculator __________________________________________________________________________ The answers are 4, 12, 10, 21, 7, 13, 11, 19. Let’s now check that taking the square root neutralises squaring. Try this on your calculator. Find the square root of 3 squared that is, The key strokes required are The display should read 3 Because squaring and taking square roots are inverse operations, the order of the operations can be reversed and the number is unaffected. So the square, of the square root of 3, should also equal 3 Try it on your calculator. The key strokes required are __________________________________________________________________________ Exercise 5 Complete the following without using the calculator (a)= (b)= (c)= (d)=10 (a) =(e) = (b) =(f) = (c) =(g) = (d) =(h) = 1649 144169 100121 441361 32 72 72 102 2
14 Mastering the calculator using the Casiofx-82LB (e)=625 (f)=144 (g)=, because 82= (h)=, because = 121 (i)=, because = Check your answers on the calculator. __________________________________________________________________________ 5.3 Other roots You can also use the root key on the calculator. Find the on your calculator. To get to this key you must press shift first. Look at the examples below. Examples (a) 9½ and the display should read 3. 2 2 64 121 225 root key shift key
Mastering the calculator using the Casiofx-82LB 15 or and the display should read 3. (b) and the display should read 2. (c) 16¼ and the display should read 2. Note: Root key is a function at the back of the divide key, so you will need to activate it with the SHIFT key See the key . The x stands for the number and the y stands for the root you want to take. From the examples above you may have seen that . is called a fractional index. 6. Fractions How do you add and ? Normally you would have to find a common denominator of 252. So: 8 1 3 --- x 1 y --- 8 1 3 --- 83=8 1 3 --- 1 12 ------4 63 ------ 1 1 2------4 63 ------ + 21 252 --------- 16 252 --------- + 37 252---------==