Identify which condition is necessary for a number to be rational. I AM GIVING THE ANSWERS
The condition necessary for a number to be rational is that it can be expressed as the quotient (or fraction) of two integers, where the denominator is not zero.
Identify which condition is necessary for a number to be rational
It must be able to be expressed as an integer divided by a nonzero integer. - correct
It must not be negative.
It must not be an endless decimal.
It must be written as a fraction.
The correct condition necessary for a number to be rational is that it must be able to be expressed as an integer divided by a nonzero integer.
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The condition necessary for a number to be rational is that it can be expressed as a fraction, where the numerator and denominator are both integers.
To determine the condition for a number to be rational, we need to understand what it means for a number to be rational. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not zero.
Now, let's determine the condition necessary for a number to be rational:
1. Every integer is a rational number: This is because any integer can be expressed as a fraction with a denominator of 1. For example, the number 5 can be written as 5/1, making it a rational number.
2. Any terminating decimal number is a rational number: A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.75, 3.5, and 6.0 are all terminating decimals. These can be expressed as fractions, such as 0.75 as 3/4, 3.5 as 7/2, and 6.0 as 6/1.
3. Any repeating decimal number is a rational number: A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. For example, 0.333... (which can be written as 0.3̅) and 0.666... (which can be written as 0.6̅) are repeating decimals. These can also be expressed as fractions, such as 0.333... as 1/3 and 0.666... as 2/3.
Therefore, the condition necessary for a number to be rational is that it can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not zero.