Question

Having difficulties with signed numbers when it comes to multiplication, division, addition and subtraction. Is there a simpler way to remember how to use the signs in math problems?

Negative numbers and coordinate plane
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asked 2021-03-07
Having difficulties with signed numbers when it comes to multiplication, division, addition and subtraction. Is there a simpler way to remember how to use the signs in math problems?

Answers (1)

2021-03-08
Let two negative numbers be -a and -b. For example : -2 and -5.
Let us consider the rules for individual arithmatic operations:
Addition of 2 negatuve numbers:
-a+(-b): negative
e.g, -2+(-5)=-7
Substraction of 2 negative numbers:
(-a)-(-b) is negtive if |a|>|b| and positive therwise.
e.g, (-2)-(-5)=-2+5=3 (positive) as |-2|
Multiplication of 2 negative numbers:
(-a)*(-b)=ab: positive
e.g., (-2)*(-5)=10
Division of 2 negative numbers:
\(\displaystyle-\frac{{a}}{{-{{b}}}}\): positive
e.g, \(\displaystyle-\frac{{2}}{{-{{5}}}}={0.40}\)
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