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The real numbers can be constructed as a completion of the rational numbers, in such a way that a sequence defined by a decimal or binary expansion like (3; 3.1; 3.14; 3.141; 3.1415; ...) converges to a unique real number—in this case π. For details and other constructions of real numbers, see Construction of the real numbers.
For example, in the fraction 3 / 4 , the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates 3 / 4 of a cake. Fractions can be used to represent ratios and division. [1]
The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...
The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
That is, fractions aren't difficult to compare if the numerator is 1 (e.g., 1 ⁄ 2 is larger than 1 ⁄ 3, which in turn is larger than 1 ⁄ 4). However, comparisons become more difficult when both numerators and denominators are mixed: 3 ⁄ 4 is larger than 5 ⁄ 7 , which in turn is larger than 2 ⁄ 3 , though this cannot be determined by ...
Half-life (symbol t ½) is the time required for a quantity (of substance) to reduce to half of its initial value.The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive.
Giving an incorrect answer while in problem-solving mode also costs one Oxygen unit. While in problem-solving mode, if the Neptune has at least three Oxygen units to start with, and gives two incorrect answers, the game will display the correct solution to the problem and allow the player to continue as though the problem had been solved normally.