Select the correct description for each number set.(4 points) a. (√25, 9, 64) b. ( -2.4, 0, 3.1,√81) c. (−2/3, 7/9, π/2) d. (√12, √11, π)
Only irrational numbers
Only rational numbers
Both rational and irrational numbers
a. Only rational numbers
b. Both rational and irrational numbers
c. Both rational and irrational numbers
d. Only irrational numbers
Match the number with the correct description.(5 points) a. √16 b. √101 c. 0.133134135... d. 0.789 e. 0.424242424...
Irrational because the decimal is non-terminating, non-repeating
Rational because the decimal terminates
Irrational because it is the square root of a non-perfect square
Rational because the decimal does not terminate
Rational because it is the square root of a perfect square
Irrational because the decimal repeats
Rational because the decimal repeats
a. √16 - Rational because it is the square root of a perfect square
b. √101 - Irrational because it is the square root of a non-perfect square
c. 0.133134135... - Irrational because the decimal is non-terminating, non-repeating
d. 0.789 - Rational because the decimal does not terminate
e. 0.424242424... - Rational because the decimal repeats
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)
Rational answer: Bob still owes money in the end: -30 + 25 = -$5
Rational answer: Bob still owes money in the end: -30 + 25 = -$5
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 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.
Rational answer: Bob has some money in his pocket in the end: -30 + 25 = $5
Rational answer: Bob still owes money 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? (5 points)
x = 523/999
subtract 1x = 0.523523
999x = 523
1000x = 523.523523
1. Subtract 1x = 0.523523
2. Multiply both sides by 999 to eliminate the repeating decimal: 999x = 523
3. Rearrange the equation to isolate x: x = 523/999
4. Simplify the fraction if possible: x = 523/999
5. The fraction equivalent to the repeating decimal 0.523523... is x = 523/999
can you put the steps above in the right order
Apologies for the incorrect order. Here are the steps in the correct order:
1. Subtract 1x = 0.523523
2. 1000x = 523.523523
3. Multiply both sides by 999 to eliminate the repeating decimal: 999x = 523
4. Rearrange the equation to isolate x: x = 523/999
5. Simplify the fraction if possible: x = 523/999
6. The fraction equivalent to the repeating decimal 0.523523... is x = 523/999