A rational number is a fraction that includes all integers except for when zero is the divisor. This means that a rational number can be expressed as a quotient of two integers, where the numerator is an integer and the denominator is a non-zero integer.
How can you describe a rational number as a quotient when the divisor is not zero?(1 point) Responses All numbers are rational numbers. All numbers are rational numbers. A rational number is a fraction that includes all integers. A rational number is a fraction that includes all integers. A rational number is a fraction that includes all integers except for when zero is the divisor. A rational number is a fraction that includes all integers except for when zero is the divisor. A rational number is a fraction.
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Which of the following is a rational number?(1 point) Responses 7–√ square root of 7 7.8 7.8 88√ the fraction with numerator 8 and denominator square root of 8 π
Among the given options, the rational number is 7.8.
To clarify the other options:
- \( 7 - \sqrt{7} \) is not necessarily rational since \( \sqrt{7} \) is an irrational number, making the entire expression irrational.
- \( 88\sqrt{8} \), where \( \sqrt{8} \) is also irrational, means the product is irrational.
- \( \pi \) is a well-known irrational number.
Rational numbers can be expressed as fractions where both the numerator and denominator are integers (with the denominator not being zero). Since \( 7.8 \) can be expressed as \( \frac{78}{10} \) or \( \frac{39}{5} \), it is a rational number.
2 answers