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First, calculate :
.
Then, subtract 3 from 4:
.
The absolute value of 1 is 1, so the expression evaluates to 1. Therefore, |4 - 3^1| = 1.
Determine the absolute value of the following number:
\( \left|18\right|= \)
The order of operations (PEMDAS) tells us to handle exponents before addition and subtraction. So must be calculated first to get 3, then we subtract: .
If we had something like , we'd get . The absolute value always gives us the positive distance from zero, so negative results become positive.
Yes! Any number raised to the power of 1 equals itself. So , , etc. It's one of the basic exponent rules.
Never skip steps in your work! Always show that you evaluated what's inside the bars first, then applied the absolute value. This shows your teacher you understand the complete process.
These are completely different! The first means "find the absolute value of the entire result of 4 - 3¹". The second means "find absolute values separately, then subtract". Always work inside the bars first!
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