Flashcards on Rational Numbers

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What is a rational number?

A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers.

Give an example of a rational number.

2/3 is an example of a rational number.

Is 0 a rational number? Why or why not?

Yes, 0 is a rational number because it can be expressed as 0/1.

Are all integers rational numbers? Why or why not?

Yes, all integers are rational numbers because they can be expressed as a fraction where the denominator is 1.

What is the difference between a rational number and an irrational number?

A rational number can be expressed as a fraction, while an irrational number cannot be expressed as a fraction and has an infinite number of non-repeating decimals.

Is the square root of 2 a rational number? Why or why not?

No, the square root of 2 is an irrational number because it cannot be expressed as a fraction and has an infinite number of non-repeating decimals.

What is a terminating decimal?

A terminating decimal is a decimal number that ends or terminates after a finite number of digits.

Give an example of a terminating decimal.

0.75 is an example of a terminating decimal.

What is a recurring decimal?

A recurring decimal is a decimal number that has a repeating pattern of digits.

Give an example of a recurring decimal.

0.333... is an example of a recurring decimal.

Is every fraction a rational number? Why or why not?

Yes, every fraction is a rational number because a fraction is a ratio of two integers.

Is 1/0 a rational number? Why or why not?

No, 1/0 is not a rational number because division by zero is undefined.

What is the sum of a rational number and an irrational number?

The sum of a rational number and an irrational number is always irrational.

What is the product of a rational number and an irrational number?

The product of a rational number and an irrational number is always irrational.

Can a rational number be negative? Why or why not?

Yes, a rational number can be negative because it can be expressed as a fraction with a negative numerator or denominator.

What is a rational number?

A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers.

Give an example of a rational number.

2/3 is an example of a rational number.

Is 0 a rational number? Why or why not?

Yes, 0 is a rational number because it can be expressed as 0/1.

Are all integers rational numbers? Why or why not?

Yes, all integers are rational numbers because they can be expressed as a fraction where the denominator is 1.

What is the difference between a rational number and an irrational number?

A rational number can be expressed as a fraction, while an irrational number cannot be expressed as a fraction and has an infinite number of non-repeating decimals.

Is the square root of 2 a rational number? Why or why not?

No, the square root of 2 is an irrational number because it cannot be expressed as a fraction and has an infinite number of non-repeating decimals.

What is a terminating decimal?

A terminating decimal is a decimal number that ends or terminates after a finite number of digits.

Give an example of a terminating decimal.

0.75 is an example of a terminating decimal.

What is a recurring decimal?

A recurring decimal is a decimal number that has a repeating pattern of digits.

Give an example of a recurring decimal.

0.333... is an example of a recurring decimal.

Is every fraction a rational number? Why or why not?

Yes, every fraction is a rational number because a fraction is a ratio of two integers.

Is 1/0 a rational number? Why or why not?

No, 1/0 is not a rational number because division by zero is undefined.

What is the sum of a rational number and an irrational number?

The sum of a rational number and an irrational number is always irrational.

What is the product of a rational number and an irrational number?

The product of a rational number and an irrational number is always irrational.

Can a rational number be negative? Why or why not?

Yes, a rational number can be negative because it can be expressed as a fraction with a negative numerator or denominator.

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