12 Questions
Which of the following numbers is a rational number?
0.01001000100001...
What type of number is the value of Pi (π)?
Irrational
How does the text prove that 2 is an irrational number?
By squaring both sides of the equation 2 = p/q
In the proof that 2 is irrational, what does the text assume about p/q?
p/q is not in its lowest form
What would happen if 3 was assumed to be rational?
It would lead to a contradiction
What type of decimal is 0.142857142857... according to the text?
Recurring
What is the defining characteristic of a rational number?
Can be put in the form p/q where p, q are integers and q is not equal to 0
Which of the following is an example of a terminating decimal?
0.125
What type of decimal can always be converted into a common fraction?
Terminating decimal
Which of the following is a characteristic of irrational numbers?
Cannot be expressed as a fraction
What is the defining characteristic of a recurring decimal?
Has one or more repeating digits indefinitely
Why do non-terminating, non-recurring decimals represent irrational numbers?
Because they cannot be converted into common fractions
Test your knowledge on rational and irrational numbers, including their definitions and decimal representations. Learn to differentiate between numbers that can be expressed as fractions and those that cannot.
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