This is NOT a proof, just an explanation.
Imagine you are on a number line and you are walking. Multiplying x*y is taking x steps, each of size y. Negative steps are interpreted by requriring you to face the negative end of the line before you start walking and negative step sizes are backward where backward is heel first. This mean to find, -x*-y you stand on zero, face in the negative direction, and then take x backward steps, each of size y.
A negative number multiplied by another negative number equals a positive number. For example, -5 · -5 = positive 25.
equals zero
No No. Positive number multiplied by a negative number gives a negative number.
Any time that a negative number is being multipled by another negative number, it equals a positive number. In this case, -1 multiplied by -1 equals 1. Another example of this is -5 multiplied by -5 which equals 25. Though if you multiply a negative by a positve, it equals a negative. If you were to multiply a positive by a positve, it will always equal a positve.
This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.
A negative number multiplied by another negative number equals a positive number. For example, -5 · -5 = positive 25.
It does not. A negative number multiplied by a negative number equals a positive number.
equals zero
any two negative numbers multiplied together equals a positive number. any two positives numbers multiplied together equal positive numbers and any negative and positive numbers multiplied together equals a negative.negative, negative = positivenegative, positive = negativepositive, positive = positive
No No. Positive number multiplied by a negative number gives a negative number.
Any time that a negative number is being multipled by another negative number, it equals a positive number. In this case, -1 multiplied by -1 equals 1. Another example of this is -5 multiplied by -5 which equals 25. Though if you multiply a negative by a positve, it equals a negative. If you were to multiply a positive by a positve, it will always equal a positve.
This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.
a negative number
a negative number
Negative number.
positive number
Multiplying anything non-zero by a negative number changes the sign. A positive number multiplied by a negative number becomes negative. A negative number multiplied by a negative number becomes positive.