Skill: Add decimals to hundredths

Explanation and Free Practice Resources

Addition of decimals through hundredths combines whole units, tenths, and hundredths while preserving their place-value relationships. The reasoning includes aligning corresponding places, recognizing that 10 hundredths make 1 tenth and 10 tenths make 1 whole, and interpreting regrouping when a sum crosses a place-value boundary; a decimal point is aligned by place value, not by the number of digits. Decimals beyond hundredths and more advanced generalizations are outside this scope.

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Detailed Explanation: Add decimals to hundredths

To add decimals, line up the decimal points. This keeps the ones, tenths, and hundredths in the correct columns.

Example:

\begin{array}{r} 3.47\\ + 2.68\\ \hline \end{array}

Add the hundredths: $7+8=15$ . Write $5$ in the hundredths place and regroup $10$ hundredths as $1$ tenth.
Add the tenths: $4+6+1=11$ . Write $1$ in the tenths place and regroup $10$ tenths as $1$ whole.
Add the ones: $3+2+1=6$ .
Bring the decimal point straight down into the answer.

\begin{array}{r} 3.47\\ + 2.68\\ \hline 6.15 \end{array}

So, $\boxed{3.47+2.68=6.15}$ .

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Addition - Decimal Hundredths

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