Asked by Rose12
Select the correct description for each number set. (4 points)
a) (radical symbol 25, radical symbol 9, and radical symbol 64 )
b) ( -2.4, 0, 3.1, and radical symbol 81 )
c) (−2/3, 7/9, and π/2 )
d) (radical symbol 12, radical symbol 11, and π )
options: only rational numbers, only irrational numbers, or both rational and irrational.
a) (radical symbol 25, radical symbol 9, and radical symbol 64 )
b) ( -2.4, 0, 3.1, and radical symbol 81 )
c) (−2/3, 7/9, and π/2 )
d) (radical symbol 12, radical symbol 11, and π )
options: only rational numbers, only irrational numbers, or both rational and irrational.
Answers
Answered by
Rose12
Are you positively sure about your answers?
Answered by
Rose12
Match the number with the correct description.
a. radical symbol 101
b. 0.133134135...
c. 0.789
d. 0.424242424...
e. radical symbol 16
options: irrational because it is the square root of a non-perfect square, irrational because the decimal repeats, rational because the decimal terminates, irrational because the decimal is non-terminating, non-repeating, rational because the decimal does not terminate, rational because the decimal repeats, and rational because it is the square root of a perfect square.
a. radical symbol 101
b. 0.133134135...
c. 0.789
d. 0.424242424...
e. radical symbol 16
options: irrational because it is the square root of a non-perfect square, irrational because the decimal repeats, rational because the decimal terminates, irrational because the decimal is non-terminating, non-repeating, rational because the decimal does not terminate, rational because the decimal repeats, and rational because it is the square root of a perfect square.
Answer
Which of the following expression and answer would match with the scenario: Bob and Jim earned $25 each doing yard work. Bob realized that he owed his dad $30 for his iPad case. What is true about Bob's money? (1 point) Responses Rational answer: Bob has some money in his pocket in the end: -30 + 25 = $5 Rational answer: Bob has some money in his pocket in the end: -30 + 25 = $5 Rational answer: Bob breaks even and does not owe money or have any money in his pocket. Rational answer: Bob breaks even and does not owe money or have any money in his pocket. Irrational answer: Bob has some money in his pocket in the end: -30 - 25 = $55 Irrational answer: Bob has some money in his pocket in the end: -30 - 25 = $55 Irrational answer: Bob still owes money in the end: -30 - 25 = -$55 Irrational answer: Bob still owes money in the end: -30 - 25 = -$55 Rational answer: Bob still owes money in the end: -30 + 25 = -$5
Answer
Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.523523... = what fraction?
options: x = 523/999, let x = 0.523523, 1000x = 523.523523, subtract 1x = 0.523523, 999x = 523
put these that are above in the correct order please.
options: x = 523/999, let x = 0.523523, 1000x = 523.523523, subtract 1x = 0.523523, 999x = 523
put these that are above in the correct order please.
Answer
options: x = 523/999, let x = 0.523523, 1000x = 523.523523, subtract 1x = 0.523523,
and 999x = 523
and 999x = 523
Answered by
GPT 3.5
a) Both rational and irrational numbers. The radical symbol 25 and radical symbol 9 are rational numbers (5 and 3, respectively), while the radical symbol 64 is an irrational number (8).
b) Both rational and irrational numbers. -2.4 and 3.1 are rational numbers, 0 is a rational number, and the radical symbol 81 is a rational number (9).
c) Both rational and irrational numbers. -2/3 and 7/9 are rational numbers, while π/2 is an irrational number.
d) Both rational and irrational numbers. The radical symbol 12 is an irrational number (approximately 3.464), the radical symbol 11 is also an irrational number (approximately 3.317), and π is an irrational number.
b) Both rational and irrational numbers. -2.4 and 3.1 are rational numbers, 0 is a rational number, and the radical symbol 81 is a rational number (9).
c) Both rational and irrational numbers. -2/3 and 7/9 are rational numbers, while π/2 is an irrational number.
d) Both rational and irrational numbers. The radical symbol 12 is an irrational number (approximately 3.464), the radical symbol 11 is also an irrational number (approximately 3.317), and π is an irrational number.
Answered by
GPT 3.5
I apologize for the incorrect response in my previous answer. Here are the correct descriptions for each number set:
a) (radical symbol 25, radical symbol 9, and radical symbol 64) - This set includes both rational and irrational numbers. The square root of 25 is a rational number (5), the square root of 9 is also a rational number (3), and the square root of 64 is a rational number (8).
b) (-2.4, 0, 3.1, and radical symbol 81) - This set includes only rational numbers. -2.4, 0, and 3.1 are all rational numbers (can be expressed as fractions or terminating decimals), and the square root of 81 is also a rational number (9).
c) (-2/3, 7/9, and π/2) - This set includes both rational and irrational numbers. -2/3 and 7/9 are rational numbers (fractions), while π/2 is an irrational number.
d) (radical symbol 12, radical symbol 11, and π) - This set includes both irrational numbers. The square root of 12 and the square root of 11 are both irrational numbers, and π is also an irrational number.
a) (radical symbol 25, radical symbol 9, and radical symbol 64) - This set includes both rational and irrational numbers. The square root of 25 is a rational number (5), the square root of 9 is also a rational number (3), and the square root of 64 is a rational number (8).
b) (-2.4, 0, 3.1, and radical symbol 81) - This set includes only rational numbers. -2.4, 0, and 3.1 are all rational numbers (can be expressed as fractions or terminating decimals), and the square root of 81 is also a rational number (9).
c) (-2/3, 7/9, and π/2) - This set includes both rational and irrational numbers. -2/3 and 7/9 are rational numbers (fractions), while π/2 is an irrational number.
d) (radical symbol 12, radical symbol 11, and π) - This set includes both irrational numbers. The square root of 12 and the square root of 11 are both irrational numbers, and π is also an irrational number.
Answered by
GPT 3.5
a. radical symbol 101 - irrational because it is the square root of a non-perfect square
b. 0.133134135... - irrational because the decimal is non-terminating, non-repeating
c. 0.789 - rational because the decimal terminates
d. 0.424242424... - irrational because the decimal repeats
e. radical symbol 16 - rational because it is the square root of a perfect square
b. 0.133134135... - irrational because the decimal is non-terminating, non-repeating
c. 0.789 - rational because the decimal terminates
d. 0.424242424... - irrational because the decimal repeats
e. radical symbol 16 - rational because it is the square root of a perfect square
Answered by
GPT 3.5
Rational answer: Bob has some money in his pocket in the end: -30 + 25 = $5
Answered by
GPT 3.5
The correct order of the steps for changing the repeating decimal, which is rational, to a ratio or fraction is:
1. Let x = 0.523523.
2. Multiply both sides by 1000: 1000x = 523.523523.
3. Subtract 1x from both sides: 999x = 523.
4. Set up the fraction: x = 523/999.
So, the correct order is:
- Let x = 0.523523.
- Multiply both sides by 1000: 1000x = 523.523523.
- Subtract 1x from both sides: 999x = 523.
- Set up the fraction: x = 523/999.
1. Let x = 0.523523.
2. Multiply both sides by 1000: 1000x = 523.523523.
3. Subtract 1x from both sides: 999x = 523.
4. Set up the fraction: x = 523/999.
So, the correct order is:
- Let x = 0.523523.
- Multiply both sides by 1000: 1000x = 523.523523.
- Subtract 1x from both sides: 999x = 523.
- Set up the fraction: x = 523/999.
Answered by
GPT 3.5
The correct order of the steps for changing the repeating decimal 0.523523... to a fraction is:
1. Let x = 0.523523.
2. Multiply both sides by 1000: 1000x = 523.523523.
3. Subtract 1x from both sides: 999x = 523.
4. Set up the fraction: x = 523/999.
So, the correct order is:
- Let x = 0.523523.
- Multiply both sides by 1000: 1000x = 523.523523.
- Subtract 1x from both sides: 999x = 523.
- Set up the fraction: x = 523/999.
1. Let x = 0.523523.
2. Multiply both sides by 1000: 1000x = 523.523523.
3. Subtract 1x from both sides: 999x = 523.
4. Set up the fraction: x = 523/999.
So, the correct order is:
- Let x = 0.523523.
- Multiply both sides by 1000: 1000x = 523.523523.
- Subtract 1x from both sides: 999x = 523.
- Set up the fraction: x = 523/999.