Classify each number as either rational or irrational. (3 points)
rational
appotions: 3 √2 18/3 √9 π -0.5 1/4
irrational
irrational
use 3 √2 18/3 √9 π -0.5 1/4
Rational: 18/3, -0.5, 1/4
Irrational: √2, √9, π
To classify each number as either rational or irrational, we need to determine if each number can be expressed as a fraction (rational) or not (irrational).
The numbers are:
1. 3: rational - 3 can be expressed as the fraction 3/1.
2. √2: irrational - the square root of 2 cannot be expressed as a fraction or terminated decimal.
3. 18/3: rational - 18/3 simplifies to 6, which can be expressed as the fraction 6/1.
4. √9: rational - the square root of 9 simplifies to 3, which can be expressed as the fraction 3/1.
5. π: irrational - pi cannot be expressed as a fraction or terminated decimal.
6. -0.5: rational - -0.5 can be expressed as the fraction -1/2.
7. 1/4: rational - it is already expressed as a fraction.
So, the classification of each number is as follows:
3: rational
√2: irrational
18/3: rational
√9: rational
π: irrational
-0.5: rational
1/4: rational