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
see related questions below
For the first question, to determine which sum will be irrational, we need to understand the properties of rational and irrational numbers.
a. 3 + 2 = 5. This is a sum of two rational numbers and will be rational.
b. √19 + 7/2 is an example of adding an irrational number (√19) with a rational number (7/2). According to the property of irrational numbers, the sum of an irrational number and a rational number is always irrational.
c. 18/3 + 11/10000 = 6 + 0.0011 = 6.0011. This is a sum of two rational numbers and will be rational.
d. -6 + (-3.251) = -9.251. This is a sum of two rational numbers and will be rational.
Therefore, the sum that will be irrational is option b. (√19 + 7/2).
For the second question, to determine which product will be rational, we need to again understand the properties of rational and irrational numbers.
a. 17.12̅ x 33 = 565.12̅. This is a product of two rational numbers and will be rational.
b. √3 x √9 = √27 = 3√3. This is an example of multiplying two irrational numbers, and according to the property of irrational numbers, the product of two irrational numbers can be either rational or irrational. In this case, the product is actually rational.
c. 4 x π. π (pi) is an irrational number, but multiplying it by a rational number results in a rational product.
d. -√20 x 15 = -√300 = -10√3. This is a product of two irrational numbers and will be irrational.
Therefore, the product that will be rational is option b. (√3 x √9).
For the third question, when adding a whole number to a number with two digits after the decimal point, the sum should also have two digits after the decimal point. This is because the decimal part of the number is not affected by the addition of a whole number.
Therefore, the answer is option c. (2).