Back to: MATHEMATICS JSS 2
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In today’s Mathematics class, We will be discussing the Multiplication and Division of Directed Numbers. We hope you enjoy the class!
CONTENT
(i) Addition and subtraction of directed numbers
(ii) Multiplication of directed numbers
(iii) Division of directed numbers
ADDITION AND SUBTRACTION OF DIRECTED NUMBERS
Directed numbers are the positive and negative numbers in any given number line e.g.
4 3 2 1 0 1 2 3 4
The (+) and () signs show the direction from the origin (o). To add a positive number move to the right on the number line
Addition
2 1 0 +1 +2 +3 +4
To subtract a positive number, move to the left on the number line
Subtraction
2 1 0 +1 +2 +3 +4
Worked examples
Simplify the following
 (2_+(4)
 (6)+(+6)+0
 6(3)(4)
Solution
 (2)+(4)=2+4=6
6 5 4 3 2 1 0 +1 +2
 (6)+(6)+0= 6+6+0 = 0
6 5 4 3 2 1 0 +1 +2 +3
 (3)(4)= 6+3+4 = 13
1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13
SELF EVALUATION
Simplify the following
 (+6)(+10)
 12(+3)8
 (5)+(5)+(5)
 (8)(2)+(2)
MULTIPLICATION OF DIRECTED NUMBERS
Multiplication is a short way of writing repeated addition e.g. 3×4=4+4+4 =12.
When directed numbers are multiplied together, two like signs give a positive result, while two unlike signs give a negative result in general
(i) (+a) x (b) =+ab
(ii) (a) x (b) =+ab
(iii) (+a) x(b)= ab
(iv) (a) x (+b) =ab
Worked examples
Simplify the following
(a) (+1/2) x (+1/4) = +1/8
(b) (+17) x (3) = 51
(c ) ( 91/3) x (+2/5) = 56/15 = 311/15
DIVISION OF DIRECTED NUMBERS
The rules of multiplication of directed numbers also apply to the division of directed numbers
 (+a) ÷ (+b)= +(a/b)
 (a) ÷ (b) = +(a/b)
 (+a) ÷ (b) = (a/b)
 (a) ÷ (+b) = (a/b)
Classwork
 Simplify the following


 (36) ÷ (+4)
 (4) ÷(12)
 (6) x (5)
 10 x 3

 Complete the following

 (+6) + (5) =
 (+6) + (9) =
 (6) + (=5) =
 (+7) + (=4) =
 (+8) – (+6) =

WEEKEND ASSIGNMENT
 Simplify 12 – (+3) – 8= ____ a) 1 (b) +1 (c)2 (d)+2
 Simplify (3) – (1)= ____ a) 2 (b) 1 (c)+1 (d) +2
 Simplify (+15) x (4)= ____ a) 20 (b) 60 (c)+20 (d) +60
 Divide 18 by 3 = ____ a) 6 (b) +6 (c)21 (d) +15
 Divide 5 by 15 = ____ a) +1/3 (b) 1/3 (c) +1/5 (d) 1/5
THEORY
1 a). Simplify 4/9 of (2 4)
b) Simplify (2) + (7) using number lines.
2 Simplify
 a) 7 x (6.2)
 b) 112 ÷ 4
We have come to the end of this class. We do hope you enjoyed the class?
Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.
In our next class, we will be talking about Algebraic Expressions. We are very much eager to meet you there.
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