Identify which condition is necessary for a number to be rational.(1 point)
Responses
It must be able to be expressed as an integer divided by a nonzero integer.
It must be able to be expressed as an integer divided by a nonzero integer.
It must not be an endless decimal.
It must not be an endless decimal.
It must not be negative.
It must not be negative.
It must be written as a fraction.
It must be able to be expressed as an integer divided by a nonzero integer.
Which of the following is irrational?(1 point)
Responses
−7837
negative 7 Start Fraction 8 over 37 End Fraction
52.781654292
52.781654292
3.6363636363636363...
3.6363636363636363...
3√4
3√4 is irrational.
Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)
Responses
8.4
8.4
7.1
7.1
9.8
9.8
6.4
To estimate the value of 6×2–√, we can first evaluate 2–√. Since √4 = 2, 2–√ is equal to 1. Therefore, 6×2–√ is equal to 6×1 = 6. Thus, the best estimate is 6.4.
So the correct choice is 6.4.
Which statement is true about the square root of 28?(1 point)
Responses
It is between 6 and 7, probably closer to 6.
It is between 6 and 7, probably closer to 6.
It is between 4 and 5, probably closer to 5.
It is between 4 and 5, probably closer to 5.
It is between 5 and 6, probably closer to 6.
It is between 5 and 6, probably closer to 6.
It is between 5 and 6, probably closer to 5.
The statement that is true about the square root of 28 is "It is between 5 and 6, probably closer to 6."
Which statement is true about the integer fraction that equals the square root of 2?(1 point)
Responses
It involves large numbers.
It involves large numbers.
It does not exist.
It does not exist.
It is equal to 1.
It is equal to 1.
It requires a computer to find it.