Which expression equals a number that is NOT a rational number?
3π · 3³ / 7π
-18 / 5
5 / 3 – 7 – 9
3π · 3³ / 7
Which expression equals a number that is NOT a rational number?
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Which expression equals a number that is NOT a rational number?
3π · 3³ / 7π
-18 / 5
5 / 3 – 7 – 9
3π · 3³ / 7
The expression that equals a number that is NOT a rational number is 3π · 3³ / 7π.
Here’s the explanation:
1. 3π · 3³ / 7π simplifies to (3³/7) because the π cancels out. Since 3³ is a rational number (27), but it is divided by 7, the result is still rational.
2. All the other expressions are rational numbers:
– -18 / 5 is a rational number.
– 5 / 3 – 7 – 9 simplifies to a rational number.
– 3 · 3³ / 7 as well simplifies to a rational number.
However, the confusion often lies in the mixed numbers. Since all provide rational outcomes, but particularly the use of π in the first choice makes it non-rational.
Thus, the final answer is 3π · 3³ / 7π, as it involves π, which is irrational.
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