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CALCULATING DEVICES
Operations with the scientific CALCULATOR
1. Addition
a) 375 + 601 = 976
b) 401 + 2801 + 70120 + 3 = 73, 325
c) 0.0175 + 2.561 + 3.8976 = 6.4761
2. Subtraction
a) 2890 – 576 =2314
b) 215 – 891 = -676
c) 7510 – 204 – 79 = 7227
3. Division
a) 591 ÷ 27 = 21.889
b) 79775 ÷ 4795 = 16.62671947
4. POWERS (^)
a) 28 = 256
b) 49 = 262,144
c) 93 = 729
d) 4292 = 184,041
4. Multiplication
a) 7694 x 21 = 161,574
6. Roots
i) Square roots
a) 
b) 
c) 
ii) Cube root
a) 
b) 
iii) nth Root
a) 
b) 
Note:
Also 
EXAMPLE
a) Use your calculator to find the value of
1. 
2. 
3. 
4. 
5. 
6. 
b) Evaluate to 3 decimal places
i) 
ii) 
c) Find the value of A given by the formula 
if P = 126, r = 4 and n = 5
if P = 126, r = 4 and n = 5Solution
d) The area of a triangle is given by 
where 2s = a + b + c. Find the area of a triangle given that a = 14.2, b = 12.6 and c = 8.4
where 2s = a + b + c. Find the area of a triangle given that a = 14.2, b = 12.6 and c = 8.4Solution
a + b + c = 2s
14.2 + 12.6 + 8.4 = 2s
Power of e
i) Calculate
a) 
2 = 7.389056099
2 = 7.389056099b) 5 = 148.4131591
5 = 148.4131591c) 
= 1.947734041
= 1.947734041Logarithm function
Example
1. 
= 0.69897
= 0.698972. 
= 2.321928095
= 2.321928095Natural Logarithm 
x
x1. 
2. 
Trigonometrical function
1. Sin 300 = 0.5
2. Sin 300 27’ = 0.506786256
3. Cos-1 
= 600
= 600QUESTION
1. 
correct to 6 decimal places
correct to 6 decimal places2. 
correct to 3 decimal places
correct to 3 decimal places3. 
correct to 4 decimal places
correct to 4 decimal places4. 
correct to 6 decimal places
correct to 6 decimal places5. 
correct to 4 decimal place
correct to 4 decimal place6. 
correct to six decimal places
correct to six decimal places7. 
8. 
correct to five decimal places
correct to five decimal places9. 
correct to six decimal places
correct to six decimal places10.
correct to six decimal place
correct to six decimal place11.
correct to six decimal places
correct to six decimal places12.
correct to five decimal places
correct to five decimal placesANSWERS
1. 1.667812
2. 351.886
3. 1.6283
4. 3.033894
5. 1.4868
6. 0.245465
7.
8. 0.37881
9. 1.226122
10. 2.995246
11. 1.3
12. 0.0
CONVERSION OF ANGLES FROM DEGREES TO RADIANS AND THE OPPOSITE
EXAMPLE
1. Convert 180° to radian
= 3.141592654 rad
2. Convert 1.57 rad to degrees
= 89.95437384
Statistical functions
Question
1. Find 
x ,, x
n – 1. Using your calculator for the following number 16, 22, 10
x ,
, x
n – 1. Using your calculator for the following number 16, 22, 10 Solution: 
= 48
= 48 = 16 x
n -1 = 6
n -1 = 62. Find,, xn – 1, using your calculator for the following numbers 19, 11, 12, 20
,
, xn – 1, using your calculator for the following numbers 19, 11, 12, 20 Solution
=62= 15.5 X n – 1 = 4.65
n – 1 = 4.65QUESTION
1. Change the following angles to radians
i) 90° = 1.57 rad
ii) 210°= 3.67 rad
iii) 60° = 1.05 rad
iv) 360° = 6.28 rad
2. Change the following radians to angles
i) 1.732 rad= 99.24
ii) 3.12 rad = 178.76
iii) 6.28 rad =359.82
iv) 0.5 rad =28.65
3. Calculate the following 24° 8’ + 85.34 rad – 60° 31’
4. Using statistical functions from your calculator. Find, , n -1
, , n -1 i) 1, 3, 4, 4, 8
n -1= 2.55 ii) 0.1, 2.4, 0.8, 1 =4.3 , =1.075 , n -1 = 0.9639
=4.3 , =1.075 , n -1 = 0.9639 iii) 0.9, 2.9, 3.9, 3.9, 7.9 
n -1=2.55
n -1=2.55 iv) 17, 18, 20, 22, 23 
, n -1= 2.55
, n -1= 2.55 v) -10,-5, 5, 15, 20, 
, n -1= 127.5
, n -1= 127.5 vi) 17, 17, 17, 17, 21, 21, 25, 25, 26 
, n -1= 3.87
, n -1= 3.87 vii) 9.81, 9.81, 9.82, 9.82, 9.18, 9.18, 9.18, 9.84, 9.84, 9.84 
, n -1= 0.011
, n -1= 0.011More questions
1. Calculate the following
i) 
Correct to four decimal places …. -1.751365301 1.7514
Correct to four decimal places …. -1.751365301 
1.7514 ii) 
Correct to 4 decimal places… 0.855861129 
Correct to 4 decimal places… 0.855861129 
2. Find, ,xn – 1 of 64, 44, 56 and 66…
, n -1=9.98
, ,xn – 1 of 64, 44, 56 and 66…
, n -1=9.983. Calculate
i) 
Correct to 4 decimal places
Correct to 4 decimal places ii) 
Correct to 6 decimal places
Correct to 6 decimal places iii) 
Correct to 5 decimal places
Correct to 5 decimal places Examples
1. Find, , n – 1. For the following frequency distribution
, , n – 1. For the following frequency distributionX | 61 | 64 | 67 | 70 | 73 |
F | 5 | 18 | 42 | 27 | 8 |
Solution
= 6,745 = 67.45n – 1 = 2.93 2. i) Calculate, , n – 1 for the following data
, , n – 1 for the following data X | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 |
F | 25 | 35 | 52 | 84 | 120 | 135 | 101 | 61 | 40 | 33 | 14 |
= 46,736 = 66.77n – 1 = 2.29iii)
X | 1 | 2 | 3 |
F | 0.50 | 0.33 | 0.25 |
= 1.91 = 1. 77n -1 = 2.94iv)
X | 9 | 12 | 18 | 21 | 24 | 27 | 30 | 33 | 36 |
F | 12 | 10 | 15 | 19 | 12 | 14 | 3 | 4 | 1 |
= 1632 = 18.13n – 1 = 6.312. Express your answer in
i) Degree and minutes
ii) Radians
i) 25° 11’ + 20.6 rad – 55’
= 25° 11’ + 1, 180.29° – 55
= 1204° 33’
= 21.02rad
ii) 0.8rad + 16.4° + 73.8rad – 120° 54’
= 0.8rad + 0.29rad + 73.8rad – 2.11rad
= 72.78rad
= 4169° 45’
iii) 71° 41’ 22’’ + 29.8rad – 16.4°
= 71° 41’ 22’’ + 1,707.41° – 16.4°
= 1762° 41’
= 30.76rad
3. Calculate the following
i) 
Correct to 6 decimal place
Correct to 6 decimal place= 1.027684683
≈ 1.027685
ii) 
Correct to 6 decimal places
Correct to 6 decimal places = 3.2520609
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