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Add decimals to hundredths

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.

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:

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

  1. Add the hundredths: 7+8=157+8=15. Write 55 in the hundredths place and regroup 1010 hundredths as 11 tenth.

  2. Add the tenths: 4+6+1=114+6+1=11. Write 11 in the tenths place and regroup 1010 tenths as 11 whole.

  3. Add the ones: 3+2+1=63+2+1=6.

  4. Bring the decimal point straight down into the answer.

3.47+2.686.15\begin{array}{r} 3.47\\ + 2.68\\ \hline 6.15 \end{array}

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

Learn by doing: Add decimals to hundredths

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    Addition - Decimal Hundredths

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