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American Mathematics Contest 10 (AMC10) American Mathematics Contest 12 (AMC12), formerly the American High School Mathematics Examination (AHSME) American Regions Mathematics League (ARML) Harvard-MIT Mathematics Tournament (HMMT) iTest; High School Mathematical Contest in Modeling (HiMCM) Math League (grades 4–12) Math-O-Vision (grades 9–12)
In mathematics, a multiple is the product of any quantity and an integer. [1] In other words, for the quantities a and b, it can be said that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that / is an integer.
Historically the term was used for a number that was a multiple of 1, [10] [11] or to the whole part of a mixed number. [12] [13] Only positive integers were considered, making the term synonymous with the natural numbers. The definition of integer expanded over time to include negative numbers as their usefulness was recognized. [14]
The first free kindergarten in the US was founded in 1870 by Conrad Poppenhusen, a German industrialist and philanthropist, who also established the Poppenhusen Institute. The first publicly financed kindergarten in the US was established in St. Louis in 1873 by Susan Blow.