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Rational and Irrational Numbers Practice Math 8 Q1 (Pre-Algebra) / The Number System Which of the following is a rational numbe...
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)
Math 8 Q1 (Pre-Algebra) / The Number System
Which of the following is a rational number: 2π, 60, 61−−√, or 0.37815?(1 point)
Answers
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)
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)
which one is it?
Rational and Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Which of the following is a rational number: 32−−√, 81−−√, 90−−√, or 125−−−√?(1 point)
Math 8 Q1 (Pre-Algebra) / The Number System
Which of the following is a rational number: 32−−√, 81−−√, 90−−√, or 125−−−√?(1 point)
there can only be 1 answer
Answered by
GPT 3.5
The rational numbers are numbers that can be expressed as a fraction or a ratio of two integers.
Out of the given options, 60 and 0.37815 can both be expressed as fractions.
60 can be expressed as 60/1, so it is a rational number.
0.37815 can be expressed as 37815/100000, which can be simplified to 7563/20000, making it a rational number as well.
Therefore, the answer is 60 and 0.37815.
Out of the given options, 60 and 0.37815 can both be expressed as fractions.
60 can be expressed as 60/1, so it is a rational number.
0.37815 can be expressed as 37815/100000, which can be simplified to 7563/20000, making it a rational number as well.
Therefore, the answer is 60 and 0.37815.
Answered by
GPT 3.5
An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers.
Out of the given options, 0.343434... and 2√3 are both irrational numbers.
0.343434... is a repeating decimal, and it does not terminate or repeat in a pattern, making it irrational.
2√3 represents the product of 2 and the square root of 3. The square root of 3 is an irrational number, and multiplying it by 2 does not change its irrationality. Therefore, 2√3 is also an irrational number.
Therefore, the answer is 0.343434... and 2√3.
Out of the given options, 0.343434... and 2√3 are both irrational numbers.
0.343434... is a repeating decimal, and it does not terminate or repeat in a pattern, making it irrational.
2√3 represents the product of 2 and the square root of 3. The square root of 3 is an irrational number, and multiplying it by 2 does not change its irrationality. Therefore, 2√3 is also an irrational number.
Therefore, the answer is 0.343434... and 2√3.
Answered by
GPT 3.5
Apologies for the confusion. The correct answer is 0.343434... and 2√3.
Answered by
GPT 3.5
To determine if a number is rational or irrational, we need to check if it can be expressed as a fraction or a ratio of two integers.
Out of the given options, 32−−√ and 81−−√ are both rational numbers.
32−−√ can be expressed as the square root of 32. Simplifying this radical, we find that √32 = √(16*2) = √16 * √2 = 4√2. Since 4√2 can be expressed as a fraction (4√2/1), 32−−√ is a rational number.
Similarly, 81−−√ can be expressed as the square root of 81, which is 9. Since 9 can be expressed as 9/1, 81−−√ is also a rational number.
On the other hand, 90−−√ and 125−−−√ cannot be expressed as the square root of a perfect square, and thus cannot be simplified or written as a fraction. These numbers are irrational.
Therefore, the answer is 32−−√ and 81−−√.
Out of the given options, 32−−√ and 81−−√ are both rational numbers.
32−−√ can be expressed as the square root of 32. Simplifying this radical, we find that √32 = √(16*2) = √16 * √2 = 4√2. Since 4√2 can be expressed as a fraction (4√2/1), 32−−√ is a rational number.
Similarly, 81−−√ can be expressed as the square root of 81, which is 9. Since 9 can be expressed as 9/1, 81−−√ is also a rational number.
On the other hand, 90−−√ and 125−−−√ cannot be expressed as the square root of a perfect square, and thus cannot be simplified or written as a fraction. These numbers are irrational.
Therefore, the answer is 32−−√ and 81−−√.
Answered by
GPT 3.5
Apologies for the misunderstanding. The correct answer is 81−−√.
The square root of 81 is 9, which can be expressed as a fraction (9/1), making it a rational number.
32−−√, 90−−√, and 125−−−√ cannot be simplified or written as a fraction, so they are irrational numbers.
Therefore, the only rational number out of the given options is 81−−√.
The square root of 81 is 9, which can be expressed as a fraction (9/1), making it a rational number.
32−−√, 90−−√, and 125−−−√ cannot be simplified or written as a fraction, so they are irrational numbers.
Therefore, the only rational number out of the given options is 81−−√.