1.6 KiB
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Addition
Like terms
Sum the absolute values and add the negative sign afterwards.
\begin{split}
-4 + -3
\ = 4 + 3
\ = -7
\end{split}
Unlike terms
Subtract smaller from larger amount and then affix the sign of the larger amount to the sum.
Negative plus positive
\begin{split}
-8 + 5
\ = 8 - 5
\ = 3
\ = -3
\end{split}
Positive plus negative
\begin{split}
4 + -1
\ = 4 - 1
\ = 3
\end{split}
Subtraction
Like terms
Turn the operator and second negative into a plus sign and execute as an addition.
\begin{split}
-4 - -3 =
\ = -4 + 3
\ = -1
\end{split}
Unlike terms
Positive subtract negative
Turn the negative after the operator to a positive. (Same as previous.)
\begin{split} 2 - -3 = \ = 2 + 3 \ = 5 \end{split}
Negative subtract positive
Start at the negative value and count backwards on the number-line
-2 - 3 = -5
Multiplication
Like terms
The product of two negative numbers will always be a positive number.
-15 \cdot -3 = 45
Unlike terms
The product of a positive and a negative number will always be a negative number.
-3 \cdot 5 = -15
Division
Division follows the same rules as multiplication.
Like terms
The quotient of two negative numbers will always be a positive number.
-15 / -3 = 5
Unlike terms
The quotient of a positive and a negative number will always be a negative number.
-15 / 3 = -5