41×10

41×10 denotes the multiplication of the integers 41 and 10. In base-10 notation, the product is 410. This can be seen by the distributive property: (4×10 + 1) × 10 = (4×10×10) + (1×10) = 400 + 10 = 410. In the decimal system, multiplying by 10 is equivalent to appending a zero to the right, effectively shifting digits one place to the left.

41 is a prime number, and 10 factors as 2×5; thus 41×10 equals 410, with prime factorization 2×5×41. The result is an even number ending in zero, reflecting its divisibility by 2 and 5.

In practical terms, multiplying by ten serves as a basic example of place-value arithmetic and scaling, often used in education to illustrate how digits move when a value is increased by a factor of ten. The expression also highlights how decimal notation represents products: 410 is read as four hundred ten, a straightforward decimal representation of the product.

See also: multiplication, decimal system, place value, arithmetic fundamentals.

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