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  2. Singapore math - Wikipedia

    en.wikipedia.org/wiki/Singapore_math

    They would then solve the problem by inferring the shorter part to be 30. The bar model can be drawn as a comparison model to compare two bars of unequal lengths, which can then be used to solve a subtraction problem. The whole-part model can also be used to solve problems involving multiplication or division. [26]

  3. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    A number-line visualization of the algebraic addition 2 + 4 = 6. A "jump" that has a distance of 2 followed by another that is long as 4, is the same as a translation by 6. A number-line visualization of the unary addition 2 + 4 = 6. A translation by 4 is equivalent to four translations by 1.

  4. Elementary arithmetic - Wikipedia

    en.wikipedia.org/wiki/Elementary_arithmetic

    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, writing a 7 above it, and writing a 1 above the 6. These markings are ...

  5. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    If each subtraction is replaced with addition of the opposite (additive inverse), then the associative and commutative laws of addition allow terms to be added in any order. The radical symbol ⁠ t {\displaystyle {\sqrt {\vphantom {t}}}} ⁠ is traditionally extended by a bar (called vinculum ) over the radicand (this avoids the need for ...

  6. Addition-subtraction chain - Wikipedia

    en.wikipedia.org/wiki/Addition-subtraction_chain

    By definition, every addition chain is also an addition-subtraction chain, but not vice versa. Therefore, the length of the shortest addition-subtraction chain for n is bounded above by the length of the shortest addition chain for n. In general, however, the determination of a minimal addition-subtraction chain (like the problem of determining ...

  7. Carry (arithmetic) - Wikipedia

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

    The same carry bit is also generally used to indicate borrows in subtraction, though the bit's meaning is inverted due to the effects of two's complement arithmetic. Normally, a carry bit value of "1" signifies that an addition overflowed the ALU, and must be accounted for when adding data words of lengths greater than that of the CPU. For ...