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coverband
- 171
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Hi does anyone know a proof for the multiplicative propery of absolute values
i.e. Prove |ab|=|a||b|
i.e. Prove |ab|=|a||b|
Yes that's true. Because if a= -a, then a= 0!coverband said:I still find |a|=-a when a<0 weird! Surely if a = -a, |-a| = a
Big-T said:When a<0, -a is positive.
The multiplicative property of absolute values states that the absolute value of the product of two numbers is equal to the product of their absolute values.
The multiplicative property of absolute values can be proven using algebraic manipulations and the definition of absolute value.
The multiplicative property of absolute values is important because it allows us to simplify mathematical expressions involving absolute values and solve equations involving absolute values more easily.
Yes, the multiplicative property of absolute values can be extended to any number of numbers. The absolute value of the product of multiple numbers is equal to the product of their absolute values.
Yes, the multiplicative property of absolute values holds for complex numbers. The absolute value of the product of two complex numbers is equal to the product of their absolute values.