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)

there can only be 1 answer

The irrational number among the options given is 2√3.

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)

The rational number among the options given is 60.

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)

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.

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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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.

wrong

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.

Which of the following is an irrational number between 5 and 7: 6√, 12−−√, 27−−√, 36−−√?(1 point

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