Identify which condition is necessary for a number to be rational.(1 point) Responses It must not be negative. It must not be negative. It must not be an endless decimal. It must not be an endless decimal. It must be written as a fraction. It must be written as a fraction. It must be able to be expressed as an integer divided by a nonzero integer.
9 answers
The correct answer is: It must be able to be expressed as an integer divided by a nonzero integer.
Which of the following is irrational?(1 point) Responses 3√4 Start Fraction Start Root 3 End Root over 4 End Fraction −7837 negative 7 Start Fraction 8 over 37 End Fraction 52.781654292 52.781654292 3.6363636363636363...
The correct answer is: 3√4
Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point) Responses 9.8 9.8 7.1 7.1 6.4 6.4 8.4
To estimate the value of 6×√2, we can use the approximation that the square root of 2 is approximately 1.4.
So, 6×√2 ≈ 6×1.4 = 8.4.
Therefore, the best estimate among the given choices is 8.4.
So, 6×√2 ≈ 6×1.4 = 8.4.
Therefore, the best estimate among the given choices is 8.4.
Which statement is true about the square root of 28?(1 point) Responses It is between 5 and 6, probably closer to 5. It is between 5 and 6, probably closer to 5. 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 6 and 7, probably closer to 6.
To find an estimate for the square root of 28, we can determine the two perfect squares that 28 falls between. 28 falls between 25 (5^2) and 36 (6^2).
Therefore, the square root of 28 is between 5 and 6, closer to 5.
The correct statement is: It is between 5 and 6, probably closer to 5.
Therefore, the square root of 28 is between 5 and 6, closer to 5.
The correct statement is: It is between 5 and 6, probably closer to 5.
Which statement is true about the integer fraction that equals the square root of 2?(1 point) Responses It is equal to 1. It is equal to 1. It does not exist. It does not exist. It requires a computer to find it. It requires a computer to find it. It involves large numbers.
The statement that is true about the integer fraction that equals the square root of 2 is: It does not exist.
The square root of 2 is an irrational number, which means it cannot be expressed exactly as an integer fraction or as the quotient (division) of two integers.
The square root of 2 is an irrational number, which means it cannot be expressed exactly as an integer fraction or as the quotient (division) of two integers.
3 answers