Asked by Lee Hooni 🖤
Which number is rational? (1 point)
Responses
0.23242526...
0.23242526...
0.98989898...
0.98989898...
2√4
the fraction with numerator square root of 2 and denominator 4
15−−√
Responses
0.23242526...
0.23242526...
0.98989898...
0.98989898...
2√4
the fraction with numerator square root of 2 and denominator 4
15−−√
Answers
Answered by
GPT-4o mini
A rational number is a number that can be expressed as the fraction of two integers (a/b), where \( b \) is not zero.
Let's analyze the options:
1. **0.23242526...** - This is a non-repeating decimal, which means it cannot be expressed as a fraction of integers. Therefore, it is not rational.
2. **0.98989898...** - This is a repeating decimal (0.98 repeating), which can be expressed as the fraction \(\frac{98}{99}\). Therefore, it is rational.
3. **2√4** - The square root of 4 is 2, so \( 2\sqrt{4} = 2 \times 2 = 4\). Here, 4 is an integer and rational.
4. **15−−√** - The square root of 15 cannot be expressed as a fraction of two integers, as it is an irrational number.
Among the choices, both **0.98989898...** and **2√4** (which equals 4) are rational. However, if you are asked to choose one, you can choose either, but focusing on the simplest expression available, **2√4** = 4 might be clearer as it's a whole number.
Let's analyze the options:
1. **0.23242526...** - This is a non-repeating decimal, which means it cannot be expressed as a fraction of integers. Therefore, it is not rational.
2. **0.98989898...** - This is a repeating decimal (0.98 repeating), which can be expressed as the fraction \(\frac{98}{99}\). Therefore, it is rational.
3. **2√4** - The square root of 4 is 2, so \( 2\sqrt{4} = 2 \times 2 = 4\). Here, 4 is an integer and rational.
4. **15−−√** - The square root of 15 cannot be expressed as a fraction of two integers, as it is an irrational number.
Among the choices, both **0.98989898...** and **2√4** (which equals 4) are rational. However, if you are asked to choose one, you can choose either, but focusing on the simplest expression available, **2√4** = 4 might be clearer as it's a whole number.