multiplication
Quick Summary
Multiplication is a fundamental mathematical operation. It is essentially a shortcut for repeated addition. For example, 3 multiplied by 4 (written as 3 × 4) means adding 3 together 4 times (3 + 3 + 3 + 3), which equals 12. The numbers being multiplied are called factors, and the result is the product.
A key property of multiplication is the commutative law, which states that the order of the factors does not change the product (ab = ba). This is illustrated in a multiplication table, which shows the results of multiplying numbers. Factoring is the reverse process, breaking a number down into its factors.123
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combinatoricsBIB (balanced incomplete block) designs…with two operations, addition and multiplication, subject to the usual nine laws of addition and multiplication obeyed by rational numbers. In particular the marks may be taken to be the set X of non-negative integers less than a prime p. If this is so, then addition and multiplication are defined…
Read More…with two operations, addition and multiplication, subject to the usual nine laws of addition and multiplication obeyed by rational numbers. In particular the marks may be taken to be the set X of non-negative integers less than a prime p. If this is so, then addition and multiplication are defined…
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East Asian mathematicsArithmetic of fractionsThis algorithm corresponds to the modern formula a/b + c/d = (ad + bc)/bd. The sum of a set of fractions is itself…
Read MoreThis algorithm corresponds to the modern formula a/b + c/d = (ad + bc)/bd. The sum of a set of fractions is itself…
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vector…are two different ways of multiplying two vectors together. The cross, or vector, product results in another vector that is denoted by v × w. The cross product magnitude is given by |v × w| = vw sin θ, where θ is the smaller angle between the vectors (with their…
Read More…are two different ways of multiplying two vectors together. The cross, or vector, product results in another vector that is denoted by v × w. The cross product magnitude is given by |v × w| = vw sin θ, where θ is the smaller angle between the vectors (with their…
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mechanicsVectorsA vector may be multiplied by a scalar. Thus, for example, the vector 2A has the same direction as A but is twice as long. If the scalar has dimensions, the resulting vector still has the same direction as the original one, but the two cannot be compared in…
Read MoreA vector may be multiplied by a scalar. Thus, for example, the vector 2A has the same direction as A but is twice as long. If the scalar has dimensions, the resulting vector still has the same direction as the original one, but the two cannot be compared in…
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mathematicsThe numeral system and arithmetic operationsMultiplication was facilitated by means of tables; one typical tablet lists the multiples of a number by 1, 2, 3,…, 19, 20, 30, 40, and 50. To multiply two numbers several places long, the scribe first broke the problem down into several multiplications, each by…
Read MoreMultiplication was facilitated by means of tables; one typical tablet lists the multiples of a number by 1, 2, 3,…, 19, 20, 30, 40, and 50. To multiply two numbers several places long, the scribe first broke the problem down into several multiplications, each by…
Read More- mathematicsThe numeral system and arithmetic operations
But for multiplication they introduced a method of successive doubling. For example, to multiply 28 by 11, one constructs a table of multiples of 28 like the following:
Read MoreBut for multiplication they introduced a method of successive doubling. For example, to multiply 28 by 11, one constructs a table of multiples of 28 like the following:
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