Adding Whole Numbers
How to Add Whole Numbers: Write the numbers so each place value lines up vertically. Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value. Continue ...
Adding Whole Numbers
How to Add Whole Numbers
- Write the numbers so each place value lines up vertically.
- Add the digits in each place value. Work from right to left starting with the ones place. If a sum
in a place value is more than \(9,\) carry to the next place value. - Continue adding each place value from right to left, adding each place value and carrying if needed.
Example
Add: \(43 + 69.\)
Solution
| Write the numbers so the digits line up vertically. | \(\begin{array}{r} 43 \\ \underline{+\;69} \\ \end{array}\) |
| Add the digits in each place.
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| Write the \(2\) in the ones place in the sum.
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\(\begin{array}{r} |
| Now add the tens: \(1 + 4 + 6 = 11\)
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\(\begin{array}{r} \overset{1}{4}3 \\ +\;69 \\ \hline 112 \\ \end{array}\) |
Example
Add: \(324 + 586.\)
Solution
| Write the numbers so the digits line up vertically. | |
| Add the digits in each place value.
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| Add the tens: \(1 + 2 + 8 = 11\)
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| Add the hundreds: \(1 + 3 + 5 = 9\)
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Example
Add: \(1,683 + 479.\)
Solution
| Write the numbers so the digits line up vertically. | \(\begin{array}{r} 1,683 \\ \underline{+\;479} \\ \end{array}\) |
| Add the digits in each place value. | |
| Add the ones: \(3 + 9 = 12.\)
|
\(\begin{array}{r} 1,6\overset{1}{8}3 \\ +\;479 \\ \hline 2 \\ \end{array}\) |
| Add the tens: \(1 + 7 + 8 = 16\)
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\(\begin{array}{r} 1,\overset{1}{6}\overset{1}{8}3 \\ +\;479 \\ \hline 62 \\ \end{array}\) |
| Add the hundreds: \(1 + 6 + 4 = 11\)
|
\(\begin{array}{r} 1,\overset{1}{6}\overset{1}{8}3 \\ +\;479 \\ \hline 162 \\ \end{array}\) |
| Add the thousands: \(1 + 1 = 2.\)
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\(\begin{array}{r} 1,\overset{1}{6}\overset{1}{8}3 \\ +\;479 \\ \hline 2,162 \\ \end{array}\) |
When the addends have different numbers of digits, be careful to line up the corresponding place values starting with the ones and moving toward the left.
Example
Add: \(21,357 + 861 + 8,596.\)
Solution
| Write the numbers so the place values line up vertically. | \(\begin{array}{r} 21,357 \\ 861 \\ \underline{+\;8,596} \\ \end{array}\) |
| Add the digits in each place value. | |
| Add the ones: \(7 + 1 + 6 = 14\)
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\(\begin{array}{r} 21,3\overset{1}{5}7 \\ 861 \\ +\;8,596 \\ \hline 4 \\ \end{array}\) |
| Add the tens: \(1 + 5 + 6 + 9 = 21\)
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\(\begin{array}{r} 21,\overset{2}{3}\overset{1}{5}7 \\ 861 \\ +\;8,596 \\ \hline 14 \\ \end{array}\) |
| Add the hundreds: \(2 + 3 + 8 + 5 = 18\)
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\(\begin{array}{r} 2\overset{1}{1},\overset{2}{3}\overset{1}{5}7 \\ 861 \\ +\;8,596 \\ \hline 814 \\ \end{array}\) |
| Add the thousands: \(1 + 1 + 8 = 10\)
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\(\begin{array}{r} \overset{1}{2}\overset{1}{1},\overset{2}{3}\overset{1}{5}7 \\ 861 \\ +\;8,596 \\ \hline 0,814 \\ \end{array}\) |
| Add the ten-thousands: \(1 + 2 = 3\)
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\(\begin{array}{r} \overset{1}{2}\overset{1}{1},\overset{2}{3}\overset{1}{5}7 \\ 861 \\ +\;8,596 \\ \hline 30,814 \\ \end{array}\) |
This example had three addends. We can add any number of addends using the same process as long as we are careful to line up the place values correctly.
Optional Video: Adding Whole Numbers
This video below by Mathispower4u explains how to add whole numbers.
This lesson is part of:
Introducing Numbers
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