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
Solution
d) The area of a triangle is given by
Solution
a + b + c = 2s
14.2 + 12.6 + 8.4 = 2s
Power of e
i) Calculate
a)
b)
c)
Logarithm function
Example
1.
2.
Natural Logarithm
1.
2.
Trigonometrical function
1. Sin 300 = 0.5
2. Sin 300 27’ = 0.506786256
3. Cos-1
QUESTION
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
ANSWERS
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
Solution:
x
2. Find
Solution
X
QUESTION
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
i) 1, 3, 4, 4, 8
ii) 0.1, 2.4, 0.8, 1
iii) 0.9, 2.9, 3.9, 3.9, 7.9
iv) 17, 18, 20, 22, 23
v) -10,-5, 5, 15, 20,
vi) 17, 17, 17, 17, 21, 21, 25, 25, 26
vii) 9.81, 9.81, 9.82, 9.82, 9.18, 9.18, 9.18, 9.84, 9.84, 9.84
More questions
1. Calculate the following
i)
ii)
2. Find
3. Calculate
i)
ii)
iii)
Examples
1. Find
X | 61 | 64 | 67 | 70 | 73 |
F | 5 | 18 | 42 | 27 | 8 |
Solution
2. i) Calculate
X | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 |
F | 25 | 35 | 52 | 84 | 120 | 135 | 101 | 61 | 40 | 33 | 14 |
iii)
X | 1 | 2 | 3 |
F | 0.50 | 0.33 | 0.25 |
iv)
X | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 |
F | 12 | 10 | 15 | 19 | 12 | 14 | 3 | 0 | 4 | 1 |
2. 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)
= 1.027684683
≈ 1.027685
ii)
= 3.2520609