The standard addition algorithm combines multi-digit whole numbers and finite decimals by aligning corresponding place values, adding from right to left, and regrouping when a place total reaches ten; trailing zeros may be used to preserve decimal alignment. The method expresses the composition of quantities through the base-ten system, and estimation or inverse subtraction can check reasonableness; it does not extend here to arbitrary-precision numbers, signed numbers, or algebraic expressions.
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To add multi-digit whole numbers or decimals:
Example:
The zero in keeps the decimal places aligned.
The decimal point goes straight down:
So, .
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