which of the following appears to be a irrational number?
0.404404440
0.783783783
-4/5
or the square root of 36
i'm stuck help me please
If you had you written 0.404404440 as 0.404404440....
then it would appear to be irrational
yeah, that was what i ended up picking it's right
To determine whether a number is irrational or not, we need to check if it can be expressed as a fraction (rational) or not.
Let's analyze each option:
1. 0.404404440: This number can be written as 404404440/1000000000, which means it can be expressed as a fraction. Therefore, it is a rational number.
2. 0.783783783: Similarly, this number can be written as 783783783/1000000000, indicating that it is a rational number.
3. -4/5: This is a fraction, and all fractions are rational numbers.
4. Square root of 36: The square root of 36 is 6. Since 6 can be expressed as the fraction 6/1, it is also a rational number.
None of the options provided appear to be irrational numbers.
To determine whether a number is rational or irrational, we need to understand the definition of these terms.
1. Rational Numbers: Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero.
2. Irrational Numbers: Irrational numbers cannot be expressed as a ratio of two integers. They cannot be written as a fraction or a repeating decimal. Irrational numbers typically have decimal representations that neither terminate nor repeat.
Now, let's analyze the given options:
1. 0.404404440: This number is a decimal that terminates, meaning it ends after a certain number of decimal places. Therefore, it is a rational number.
2. 0.783783783: Similar to the previous number, this decimal terminates, making it a rational number.
3. -4/5: This is a fraction, which can be expressed as a ratio of two integers. Hence, it is a rational number.
4. Square root of 36 (√36): The square root of 36 is 6 because 6 * 6 = 36. Since 6 is an integer, the square root of 36 can be expressed as a ratio of integers and is, therefore, a rational number.
Based on this analysis, none of the given options appears to be an irrational number.