Birds in serious decline at Lake Constance

Within 30 years, the bird population around Lake Constance declined with increasing rapidity. While in 1980 around 465,000 breeding pairs were still living in the region, by 2012 the number had fallen to 345,000—a loss ...

Making it count: The power of round numbers

Round numbers can be powerful marketing tools, increasing people's sense of accomplishment as they work towards goals in areas like finances or weight loss, according to new Washington State University research.

Preschoolers can do more math than you think

Preschoolers are capable of learning more complicated math concepts than most parents realize, according to a new Vanderbilt study. What's more, these concepts can be easily introduced through simple games and tasks at home.

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A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.

Mathematical operations are certain procedures that take one or more numbers as input and produce a number as output. Unary operations take a single input number and produce a single output number. For example, the successor operation adds one to an integer, thus the successor of 4 is 5. Binary operations take two input numbers and produce a single output number. Examples of binary operations include addition, subtraction, multiplication, division, and exponentiation. The study of numerical operations is called arithmetic.

A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (e.g., ISBNs).

In common use, the word number can mean the abstract object, the symbol, or the word for the number.

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