Which of the following is a rational number 2n 6 0 61 or 0.37815
A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Out of the options provided, the number 6 can be expressed as the fraction 6/1, with 6 as the numerator and 1 as the denominator. Therefore, 6 is a rational number.
The number 2n cannot be determined to be rational or not without further information about the value of n.
The number 0 is a rational number since it can be expressed as the fraction 0/1.
The number 61 is a rational number since it can be expressed as the fraction 61/1.
The number 0.37815 is an irrational number, as it is a decimal that does not terminate or repeat.
Therefore, the rational number among the options is 6.
wrong
A rational number is a number that can be expressed as a ratio of two integers.
Among the options given, the number 2n can be a rational number if n is an integer. However, since the value of n is not specified, we cannot determine if 2n is rational.
The number 6 is a rational number because it can be expressed as the ratio 6/1.
The number 0.61 can also be expressed as a ratio of two integers. By moving the decimal point two places to the right, we have 61/100. Therefore, 0.61 is a rational number.
The number 0.37815 can also be expressed as a ratio of two integers. By moving the decimal point five places to the right, we have 37815/100000. Therefore, 0.37815 is a rational number.
To summarize, both 6 and 0.61 are rational numbers among the options provided.
To determine which of the given numbers is a rational number, we need to understand what a rational number is.
A rational number is any number that can be expressed as the quotient or fraction of two numbers, where the denominator is not equal to zero.
Let's examine each of the options:
1. 2n: Without knowing the value of 'n,' we cannot determine whether this expression is a rational number. It depends on the value assigned to 'n.'
2. 6: The number 6 can be expressed as a fraction by writing it as 6/1. Since the denominator is not zero, 6 is a rational number.
3. 0: Zero is a rational number since it can be expressed as 0/1. However, it is worth mentioning that division by zero is undefined.
4. 61: Since 61 cannot be expressed as a fraction of two integers (whole numbers), it is an example of an irrational number and not a rational number.
5. 0.37815: This number is a decimal. To determine if it is rational, we need to check if it can be expressed as a fraction. In this case, you would need to keep more decimal places or use algebraic methods to determine if it can be expressed as a ratio of two numbers.
Therefore, out of the given options, 6 is the only number that is definitely a rational number.