1×82

1×82 denotes the product of the integers 1 and 82. In standard decimal arithmetic, this multiplication equals 82. The expression illustrates the multiplicative identity: multiplying any number by 1 leaves it unchanged. More generally, for any number a, 1×a = a and a×1 = a; this is a fundamental property of multiplication and a basic axiom of arithmetic. The example also demonstrates commutativity, since 1×82 = 82×1 = 82.

Calculation and variants: In the common decimal system, 1 times 82 equals 82. If interpreted in a different base, the numeral "82" would represent a different value. In base b (where b > 8 to allow the digit 8), the value is 8×b + 2, and its product with 1 still equals that value, though the numeral representation would depend on the base being used.

Applications and context: 1×82 is a simple example used in early education to illustrate the multiplicative identity and basic arithmetic rules. It reinforces the idea that multiplying by 1 does not change the quantity, a concept that underpins more advanced algebra and number theory.