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  2. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    A non-negative integer is a square number when its square root is again an integer. For example, =, so 9 is a square number. A positive integer that has no square divisors except 1 is called square-free. For a non-negative integer n, the n th square number is n 2, with 0 2 = 0 being the zeroth one. The concept of square can be extended to some ...

  3. Numberblocks - Wikipedia

    en.wikipedia.org/wiki/Numberblocks

    Many of the numbers have styles and personalities associated with their numbers (One is brave and independent, Four loves squares as he is a square number, Seven is rainbow-coloured and lucky due to the superstition behind that number, Eight has octopus-like tentacles as octopuses have 8 tentacles, Eleven loves football as a football team has ...

  4. Centered square number - Wikipedia

    en.wikipedia.org/wiki/Centered_square_number

    All centered square numbers and their divisors have a remainder of 1 when divided by 4. Hence all centered square numbers and their divisors end with digit 1 or 5 in base 6, 8, and 12. Every centered square number except 1 is the hypotenuse of a Pythagorean triple (3-4-5, 5-12-13, 7-24-25, ...). This is exactly the sequence of Pythagorean ...

  5. Murderous Maths - Wikipedia

    en.wikipedia.org/wiki/Murderous_Maths

    The following are the thirteen books that are available in the series. Guaranteed to Bend Your Brain (previously Murderous Maths) (1997), ISBN 0-439-01156-6 - (addition, subtraction, multiplication, division, percentages, powers, tessellation, Roman numerals, the development of the "10" and the place system, shortcomings of calculators, prime numbers, time - how the year and day got divided ...

  6. Manipulative (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Manipulative_(mathematics...

    To teach integer addition and subtraction, a number line is often used. A typical positive/negative number line spans from −20 to 20. For a problem such as “−15 + 17”, students are told to “find −15 and count 17 spaces to the right”.

  7. Square triangular number - Wikipedia

    en.wikipedia.org/wiki/Square_triangular_number

    Consequently, a square number is also triangular if and only if + is square, that is, there are numbers and such that =. This is an instance of the Pell equation x 2 − n y 2 = 1 {\displaystyle x^{2}-ny^{2}=1} with n = 8 {\displaystyle n=8} .

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