Which number produces an irrational number when added to 0.4
An irrational number is any number that cannot be expressed as a fraction of two integers. So, any number that is not rational would produce an irrational number when added to 0.4. Some examples of irrational numbers are π (pi), √2 (square root of 2), or e (Euler's number).
Which number produces an irrational number when added to 0.4
√9
3 π
0.444...
2/7
The number that produces an irrational number when added to 0.4 is √9.
√9 is equal to 3, which is a rational number. Adding a rational number to 0.4 would still result in a rational number. Therefore, √9 does not produce an irrational number when added to 0.4.
Which of the following statements is true if p is an integer and q is a nonzero integer?
A rational number can be written as a fraction
all numbers can be written as a fraction
an irrational number can be written as a fraction
a rational number cannot be written as a fraction
The correct statement is: A rational number can be written as a fraction.
Which number produces an irrational number when multiplied by 1/3
0.166
-√17
2/3
2
The number that produces an irrational number when multiplied by 1/3 is -√17.
√17 is an irrational number since it cannot be expressed as a fraction. When multiplied by the rational number 1/3, the result is still irrational. Therefore, -√17 produces an irrational number when multiplied by 1/3.
True or False:
The number 0.3333... repeats forever; therefore, it is irrational.
False. The number 0.3333... is a repeating decimal, but it is still rational. It can be expressed as the fraction 1/3, which means it is a quotient of two integers.
Which number is irrational?
√5
0.3
0.777...
0.454545...