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  2. Carry (arithmetic) - Wikipedia

    en.wikipedia.org/wiki/Carry_(arithmetic)

    Here, 7 − 9 = −2, so try (10 − 9) + 7 = 8, and the 10 is got by taking ("borrowing") 1 from the next digit to the left. There are two ways in which this is commonly taught: The ten is moved from the next digit left, leaving in this example 3 − 1 in the tens column. According to this method, the term "borrow" is a misnomer, since the ten ...

  3. Elementary arithmetic - Wikipedia

    en.wikipedia.org/wiki/Elementary_arithmetic

    American schools teach a method of subtraction using borrowing. [12] A subtraction problem such as is solved by borrowing a 10 from the tens place to add to the ones place in order to facilitate the subtraction. Subtracting 9 from 6 involves borrowing a 10 from the tens place, making the problem into +. This is indicated by crossing out the 8 ...

  4. Operation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Operation_(mathematics)

    There are two common types of operations: unary and binary. Unary operations involve only one value, such as negation and trigonometric functions. [3] Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation. [4] Operations can involve mathematical objects other than ...

  5. Ones' complement - Wikipedia

    en.wikipedia.org/wiki/Ones'_complement

    The ones' complement of a binary number is the value obtained by inverting (flipping) all the bits in the binary representation of the number. The name "ones' complement" [1] refers to the fact that such an inverted value, if added to the original, would always produce an "all ones" number (the term "complement" refers to such pairs of mutually additive inverse numbers, here in respect to a ...

  6. Casting out nines - Wikipedia

    en.wikipedia.org/wiki/Casting_out_nines

    The digital root of the result of this calculation is then compared with that of the result of the original calculation. If no mistake has been made in the calculations, these two digital roots must be the same. Examples in which casting-out-nines has been used to check addition, subtraction, multiplication, and division are given below.

  7. Binary operation - Wikipedia

    en.wikipedia.org/wiki/Binary_operation

    Typical examples of binary operations are the addition (+) and multiplication of numbers and matrices as well as composition of functions on a single set. For instance, For instance, On the set of real numbers R {\displaystyle \mathbb {R} } , f ( a , b ) = a + b {\displaystyle f(a,b)=a+b} is a binary operation since the sum of two real numbers ...

  8. If your after-tax income is $3,000 a month, for example, this is what you’d have for needs, wants and savings according to the 50/30/20 rule: 50% for needs — $1,500 (or $3,000 x 0.50) 30% for ...

  9. Orthogonal polynomials - Wikipedia

    en.wikipedia.org/wiki/Orthogonal_polynomials

    If the measure dα is supported on an interval [a, b], all the zeros of P n lie in [a, b]. Moreover, the zeros have the following interlacing property: if m < n, there is a zero of P n between any two zeros of P m. Electrostatic interpretations of the zeros can be given. [citation needed]