1) Select the BEST classification for π. A) irrational B) rational C) imaginary D) complex
First, find the definitions of those terms. Then read them and understand them. Finally, pick the correct answer. If you still need help, then ask.
Hmm I'm trying to think of how to give you a hint without just giving away the answer >.< Well here are some examples of numbers: Rational can be written as a ratio of whole numbers:\[\large\rm \frac{2}{3},\qquad\qquad \frac{7}{11},\qquad\qquad \frac{15}{22}\] Irrational numbers have no fractional representation in the whole numbers:\[\large\rm 4\pi,\qquad\qquad \sqrt{3},\qquad\qquad \sqrt{7}\] Imaginary is a number undefined in the real numbers:\[\large\rm \sqrt{-1},\qquad\qquad \sqrt{-4},\qquad\qquad \sqrt{-12}\] Complex numbers have both a real and imaginary part:\[\large\rm \pi+\sqrt{-2},\qquad\qquad 7-\sqrt{-5},\qquad\qquad 11+\sqrt{-11}\]
So I gave some examples of each type of number. Any ideas which group pi would belong to? :)
imaginary
Hmm
i have another problem i cant answer Seats in an auditorium are numbered 1-500, and the principal is handing out snacks in an assembly. Every student whose seat is a multiple of 4 gets chocolate. Every student in a seat that is a multiple of 7 gets jelly beans, and every student in a seat that is a multiple of 10 gets chips. The student in which seat number is the first to get all 3 treats? A) 40 B) 70 C) 100 D) 140
Here are some important definitions: Natural numbers: the counting numbers: 1, 2, 3, 4, ... Whole numbers: the counting numbers and 0: 0, 1, 2, 3, 4, ... Integers: the whole numbers and the negatives of the whole numbers: ... , -3, -2, -1, 0, 1, 2, 3, ... Rational numbers: any number that can be written as a fraction of integers. Rational numbers either terminate: 2, 2,.55, 4.301, or they don't terminate, but they repeat: 3.555..., 4.636363... Irrational numbers: numbers that cannot be written as a fraction of integers. Irrational numbers do not terminate and do not repeat. All numbers described up to here form the set of real numbers. Imaginary: a number that has as a factor the square root of -1, denoted as i. Complex number: a number that is a sum of a real part and an imaginary part.
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