Choose whether the following numbers are rational or irrational.
Rational
Irrational
-49/5
√100
√7
11.59
√200
Choose whether the following numbers are rational or irrational. Rational Irrational -49/5 √100 √7 11.59 √200
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Choose whether the following numbers are rational or irrational.
Rational
Irrational
-49/5
√100
√7
11.59
√200
Let’s go through each of the numbers you’ve listed:
1. -49/5: Rational. This is a fraction, and all fractions where the numerator and denominator are integers (and the denominator is not zero) are rational numbers.
2. √100: Rational. The square root of 100 is 10, which is a whole number and thus a rational number.
3. √7: Irrational. The square root of 7 cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.
4. 11.59: Rational. This number can be expressed as a fraction (1159/100), so it is rational.
5. √200: Irrational. The square root of 200 simplifies to 10√2, and since √2 is irrational, √200 is also irrational.
In summary:
– Rational: -49/5, √100, 11.59
– Irrational: √7, √200
If you have more questions or need further assistance, feel free to ask!