Download Subject : Mathematics Topic : A simple code Class

Subject : Mathematics
Topic :
A simple code
Class : JSS 1
Lesson : 2
Content
Code system is an interesting aspect of number manipulation . Here, the alphabets A--- Z are
allocated the numbers 1---26 respectively . This gives a simple code as shown below:
A
1
B
2
C
3
D
4
E
5
F
6
G
7
H
8
I
9
J
10
K
11
L
12
M
13
N
14
O
15
P
16
Q
17
R
18
S
19
T
20
U
21
V
22
W
23
X
24
Y
25
Z
26
Example 1
What does ( 14,9,7,5,18,9,1) mean using the above code ?.
Solution : 14 = N ; 9 = I ; 7 = G ; 5 = E ; 18 = R ; 9 = I ; 1 = A .
Therefore ; (14 , 9 , 7 ,5 ,18, 9 ,1) = NIGERIA
Example 2
Translate INTERNATIONAL into simple code using the table above .
Solution
I = 9 ; N = 14 ; T = 20 ; E = 5 ; R = 18; N = 14 ; A = 1; T = 20 ; I = 1; O = 15; N =14; A = 1; L = 12
Therefore , INTERNATIONAL = (9 , 14 , 20 , 5 , 18 ,14 , 1 , 20 , 1 , 15 , 14 , 1 , 12)
ASSIGNMENT A
Use the above table to translate the following :
(1 )
(1 ,2, 21, 10 ,11)
(2) (1 , 9 ,18 ,16 , 15 ,18 ,20) .
(3)
(20 ,8 ,5 ) (13 ,1 ,18 ,11 ,5 ,20 )
(5)
( 1 ,12 ,12 ) ( 9 ,19 ) ( 23 , 5 , 12 ,12)
(4)
(12 ,1 ,7 ,15 ,19) (14 ,9 ,7 ,5 ,18 ,9 1)
Translate the following into simple code using the above table.
(6) GOOD NIGHT
(7) DEMOCRACY (8) SAFE FUEL
Topic : Factors and multiples .
Sub topic: Factors and prime numbers.
CONTENTS
(9) BIRTHDAY (10) UNLIMITED
Factors are numbers that divide a given number without a remainder. The numbers we multiply
together to get a product are factors of the product .
Example
List all the factors of (i) 24 ( ii) 56 .
SOLUTION
(i)
24 = 1 X 24,
24 = 2 X 12 ;
24 = 3 X 8;
24 = 4 X 6 .
Therefore , factors of 24 are : 1 , 2, 3, 4 ,6 ,8 ,12 ,24 .
(ii) 56 = 1 x 56 ,
56 = 2 x 28,
56 = 4 x 14 ,
56 = 7 x 8 .
Therefore, factors of 56 are: 1 , 2 , 4 , 7 , 8 , 14 ,28 ,56 .
PRIME NUMBERS
Any number that has only itself and 1 as factors is called a prime number . The first ten prime
numbers are : 2,3,5,7,11.13,17,19,23 and 29. (Note: 1 is not a prime number)
NOTE : Prime numbers cannot be divided by any other number except itself and 1 .
ASSIGNMENT B
(1)List all the factors of : (a) 18 (b) 27 (c) 36 (d) 54 (e) 60 .
(2) Write down all the prime numbers between 30 and 50
TOPIC : Prime factors
The prime factors of a number are the factors of the number that are prime. For example, factors of
56 are : 1,2,4,7,8,14,28,56 . Out of these only 2 and 7 are prime, therefore 2 and 7 are the prime
factors of 56.
We can write every non-prime numbers as a product of prime factors : For example ,
24 = 2 x 2 x 2 x 3.
To find the prime factors of a number :
Start with the smallest prime number, 2 . Find out if this will divide the number without any
remainder. If it will not divide try the next prime number,3 and continue with the rest prime
numbers.
NOTE : If a prime number will divide , check if it will divide again before moving on to the next
prime.
Example
Express 252 as a product of prime factors .
SOLUTION
2
2
3
3
7
252
126
63
21
7
1
Therefore ,
252 = 2 x2 x 3 x3 x7 .
ASSIGNMENT C
(1) use the above method to express the following as products of prime factors :
(3) 84 (4) 180
(5) 288 .
Send finished work online to [email protected]
Mr Mudathir (08023238040)
(1) 28 (2) 72