321_9 = 3 \times 9^2 + 2 \times 9^1 + 1 \times 9^0

Sat, 18 Apr 2026 11:59:37 +0000

Unlocking the Power of Base-9 Arithmetic: Decoding 321₉ in Base 10 Mathematics often feels like a universal language, but when numbers appear in non-standard bases—like base 9—it can spark curiosity. One compelling example is the expression 321₉. At first glance, it may appear cryptic, but breaking it down reveals not only its base-10 equivalent but also the elegant logic behind positional numeral systems. In this article, we explore how 321₉ transforms into its decimal (base 10) value, using the formula:
321₉ = 3 × 9² + 2 × 9¹ + 1 × 9⁰ ### What Does 321₉ Mean? The number 321₉ is written in base 9, meaning each digit represents a power of 9 based on its position from right to left: