81×10

81×10 denotes the product of 81 and 10. In base-10 arithmetic, multiplying by 10 shifts the digits and adds a trailing zero, so the product is 810.

Prime factorization: 81 = 3^4, 10 = 2×5, so 81×10 = 2×3^4×5 = 810. This shows how the factors combine to form the final value.

Decimal and scientific notation: 810 is written as 8.1×10^2; in decimal form its digits are 8, 1, and 0, representing 8 hundreds plus 1 ten.

Applications and context: This multiplication is a typical example used to illustrate how multiplication by a power of ten affects the decimal representation and how the prime factors of the numbers involved combine to produce the product.

See also: multiplication, powers of ten, decimal notation.