Place-value weighting — “Each position in a multi-digit decimal number has a weight equal to a power of 10 only.” Evaluate the claim.

Introduction / Context:
In positional number systems, each digit slot carries a weight equal to a power of the base. For the decimal system, the base is ten. This question tests whether you remember that decimal place values are powers of 10 for both integer and fractional parts.

Given Data / Assumptions:

• Base (radix) for decimal = 10.
• Weights to the left of the point: 10^0, 10^1, 10^2, …
• Weights to the right: 10^-1, 10^-2, 10^-3, …

Concept / Approach:
The value of a number is sum(digit_i * base^i). In decimal, base = 10, so the weights are exclusively powers of 10. This holds for signed numbers, integers, and fixed/floating formats; sign and scaling do not change the underlying positional weights.

Step-by-Step Solution:

Verification / Alternative check:

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Final Answer: