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.
Detailed Explanation: Add using the standard algorithm
To add multi-digit whole numbers or decimals:
Line up the place values. Line up the decimal points, then add trailing zeros if needed.
Add from right to left.
If a column totals 10 or more, write the ones digit and regroup the tens digit into the next column.
Bring the decimal point straight down into the answer.
Example:
347.58326.70​​
The zero in (26.70) keeps the decimal places aligned.
Hundredths:(8+0=8). Write 8.
Tenths:(5+7=12). Write 2 in the tenths place and regroup 1 ten to the ones place.
Ones:(7+6+1=14). Write 4 and regroup 1 ten to the tens place.
Tens:(4+2+1=7). Write 7.
Hundreds: Bring down 3.
The decimal point goes straight down:
347.58326.70374.28​​
So, (347.58+26.70=374.28​).
Learn by doing: Add using the standard algorithm
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Practice:
Addition - Whole Number 4 digit + 3 digit - Column, With Carry