Which sum will be irrational? (1 point)
a.3 + 2
b.start root 19 end root plus start fraction 7 over 2 end fraction
c Start Fraction 18 over 3 End Fraction plus Start Fraction 11 over ten thousand End Fraction.
d. –6 + (–3.251)
Which product will be rational? (1 point)
a. 17 point Modifying Above 12 with bar times 33
b.start root 3 end root times start root 9 end root
c. 4 times pi
d. negative start root 20 end root times 15
A whole number is added to a number with two digits after the decimal point. To make sure the answer is reasonable, how many digits should the sum have after the decimal point?
a.none
b.1
c.2
d.infinitely many
1.B
2.a
3.b
am i right
You sure use a lot of words. Try using these characters in the future. If you can't recall the alt-codes, you can always find them and copy/paste them.
#1
a. 3 + 2
b. √19 + 7/2
c. 18/3 + 11/10000
Your answers look good. I would have chosen 2C, but maybe you have been given a rule that says to drop the least significant digit.
1. To determine which sum will be irrational, we need to identify which option involves a combination of rational and irrational numbers.
a. 3 + 2 = 5, which is a rational number since it can be expressed as a fraction (5/1).
b. √19 + (7/2) = √19 + 3.5 = irrational number (√19 is an irrational number).
c. (18/3) + (11/10000) = 6 + 0.0011 = 6.0011, which is a rational number since it can be expressed as a fraction (60011/10000).
d. -6 + (-3.251) = -9.251, which is a rational number since it can be expressed as a fraction (-9251/1000).
Therefore, the answer is b. √19 + (7/2).
2. To determine which product will be rational, we need to identify which option involves a combination of rational and irrational numbers.
a. 17.12̅ × 33 = irrational number (repeating decimal).
b. √3 × √9 = √27 = 3√3, which is irrational (√3 is an irrational number).
c. 4 × π = rational number (4π is not irrational since π can be expressed as a fraction, even though it is an irrational number).
d. -√20 × 15 = -15√20 = -15 × √4 × √5 = rational number (-60√5 is not irrational since √5 can be expressed as a fraction).
Therefore, the answer is d. -√20 × 15.
3. When a whole number is added to a number with two digits after the decimal point, the sum should have the same number of digits after the decimal point as the number with the maximum decimal places.
For example, if we add a whole number to a number like 12.34, the sum should have two digits after the decimal point to maintain accuracy and precision.
Therefore, the answer is c. 2.