simplified expression
The task is to determine whether the simplified expression [simplified expression|simplified expression] is rational or irrational.
Definition
The task is to determine whether the simplified expression simplified expression is rational or irrational. The first example involves −18 − 4 ( 5 ) ( −1 ), which simplifies to a rational number. The second example is −16 + 4 ( 5 ) + 5, also resulting in a rational number. Both cases require evaluating the expression to classify its nature.
Mechanism
simplified expression evaluates to 2 through the following steps: First, multiply 4 by 5 to get 20. Then multiply 20 by −1 to obtain −20. Subtract −20 from −18, which is equivalent to adding 20, resulting in 2. The final result is an integer, confirming the expression is rational.
Causes
simplified expression The simplified expression −18 − 4 ( 5 ) ( −1 ) evaluates to a rational number. The expression −16 + 4 ( 5 ) + 5 results in another rational number. Both expressions involve arithmetic operations with integers and their products. The determination of rationality depends on whether the final result is a fraction of two integers.
Effects
simplified expression The simplified expression −18 − 4 ( 5 ) ( −1 ) results in a rational number. The expression −16 + 4 ( 5 ) + 5 also evaluates to a rational number. Both examples demonstrate how arithmetic operations with integers produce rational outcomes. These cases show that simplifying expressions involving integers leads to rational numbers.