Basic Math

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Adding large numbers or several numbers can be done by writing the numbers vertically so that the place values are lined up in columns. Then only the digits with same place value are added.

Instructions: Place the digits in the correct place in the chart. Then, add. Begin adding in the ones place and work your way to the left.

$\underline{\begin{array}{r} 4, 942 \\ + 1, 015 \end{array}}$

	Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones


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Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones
						5	9	5	7

$\begin{array}{l} \underline{\begin{array}{r} 4, 373 \\ + 4, 215 \end{array}} \end{array}$

	Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones


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Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones
						8	5	8	8

$\underline{\begin{array}{r} 2, 313 \\ + 105 \end{array}}$

	Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones


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Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones
						2	4	1	8

What happens when you have to carry numbers because the sum of a place value is greater than 9?

Begin adding with the ones place. 1 + 8 + 6 = 15.

15 is the same as 1 ten and 5 ones, right?

\begin{array}{r} 821 \\ 328 \\ + 126 \end{array}

You must add the 1 ten to the tens place value column, and write the 5 in the ones place. Adding one more 10 is called carrying.

Notice the little 1 in the tens column? This is the 10 part of 15 from the first step, or the carried 1.

\begin{array}{r} \underline{\begin{array}{r} 8^{1} 21 \\ 328 \\ + 126 \end{array}} \\ 1, 275 \end{array}

Now add the 10's column: 1 + 2 + 2 + 2 = 7. Place 7 in the 10s place in your answer. Add the hundreds column: 8 + 3 + 1 = 12. Since this is the last group of numbers to add, write 12 in your answer.

Your final answer should be 1,275

It's time for you to try a few practice problems.

Instructions: Add to solve.

Question 1 of

$\underline{\begin{array}{r} 100 \\ 40 \\ + 68 \end{array}}$

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You are doing a great job! You are now ready to subtract whole numbers. Use the knowledge you have gained so far to help you.