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.
Are you positively sure about your answers?
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.
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 - 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
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
Rational answer: Bob has some money in his pocket in the end: -30 + 25 = $5
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.
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.
options: x = 523/999, let x = 0.523523, 1000x = 523.523523, subtract 1x = 0.523523,
and 999x = 523
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.