Respuesta :
Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.
The addition of positive and negative number will always subtract with sign of maximum value.
The multiplication of positive and negative number will have a negative sign always.
Addition
Concept for the addition of positive and negative number
When two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.
- with negative sign: when two numbers are added such that the number with negative sign has the larger value, then both numbers will get subtracted but with negative sign.
Example: Consider two number -5 and 4
= -5 + 4
= -1
Here, 5 is the larger value. So, the sign comes is negative.
- with positive sign: when two numbers are added such that the number with positive sign has the larger value, then both numbers will get subtracted but with positive sign.
Example: consider two number 5 and -4.
= 5 + (-4)
= 1
Here, 5 is the large number. So, the sign comes is positive.
Multiplication
Concept for the multiplication of positive and negative number:
When two numbers with opposite signs are multiplied, the answer is always a negative number.
Example; Consider two numbers 4 and -5.
On multiplication,
4×(-5) = -20
Thus, the multiplication of two numbers with different signs will always give a negative number.
To know more about rational and irrational numbers, here
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