11×800

11×800 denotes the product of the integers 11 and 800. In arithmetic, it represents the result of scaling 800 by 11 units and is equal to 8,800.

Calculation and representation: using the distributive property, 11×800 = (10+1)×800 = 8,000 + 800 = 8,800. The result can also be expressed as 88×100 or as a sum of round figures (8,000 + 800), highlighting its status as a round-number product.

Numerical properties: the prime factorization of the product is 2^5 × 5^2 × 11, since 800 = 2^5 × 5^2 and the remaining factor is 11. Consequently, 8,800 is divisible by 11 (8,800 ÷ 11 = 800), as well as by 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, and other divisors derived from combining these primes. It is an even number and a multiple of 100.

Applications and context: in practical terms, 11×800 can describe a rectangle with dimensions 11 by 800 units, yielding an area of 8,800 square units. It may also appear in budgeting or inventory calculations, for example, 800 items priced at 11 units each, totaling 8,800 units of currency. As a simple example of multiplication, it illustrates how larger products can be decomposed into sums of round numbers for ease of computation.