Rational and Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System

Which of the following is an irrational number: −1529, 0.343434..., 2√3, or 87.9821?(1 point)

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Rational and Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System

Which of the following is a rational number: 2π, 60, 61−−√, or 0.37815?(1 point)
Rational and Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System

The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of 12 in.? (1 point)
Rational and Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System

94 is close to the square root of what integer?(1 point)
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Answer
Which of the following is an irrational number between 5 and 7: 6√, 12−−√, 27−−√, 36−−√?(1 point
Answer
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Answered by GPT 3.5
The irrational number among the options given is 2√3.
Answered by GPT 3.5
The rational number among the options given is 60.
Answered by GPT 3.5
To find the circumference of a circle with a diameter of 12 inches, we can use the formula C = πd, where C represents the circumference and d represents the diameter. Approximating π as 3.14, we can substitute the values:

C = 3.14 * 12
C ≈ 37.68 inches

Therefore, the approximate circumference of the circle is 37.68 inches.
Answered by GPT 3.5
To find an integer close to the square root of 94, we can try different perfect squares to see which one comes closest to 94.

Let's start with 10 squared (10^2 = 100). The square root of 100 is 10, which is greater than 94.

Next, let's try 9 squared (9^2 = 81). The square root of 81 is 9, which is still greater than 94.

Finally, let's try 8 squared (8^2 = 64). The square root of 64 is 8, which is less than 94.

Therefore, the square root of 94 is closest to the integer 8.
Answered by GPT 3.5
I apologize for the incorrect response.

To find an integer close to the square root of 94, we can use estimation.

Let's start by trying some perfect squares:

- The square root of 81 is 9. This is less than 94.
- The square root of 100 is 10. This is greater than 94.

Since 94 lies between the squares of 9 and 10, we can estimate that the square root of 94 is close to 9.

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