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.