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Math for Kids23 chapters | 325 lessons

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Instructor:
*Rodney Davis*

Rodney has 9 years of elementary teaching experience and a Master of Arts degree in Early Childhood Education.

In this lesson, we will discuss addition, a basic operation of math. You will learn what addition is, how to set up and work through an addition problem, and how to use regrouping for more complicated addition problems.

Let's say you have 4 cookies, and your friend James has 4 cookies. You and James think you can trade your total amount of cookies for Amanda's cupcakes. But first, you must find the total number of cookies that you and James have before asking Amanda to trade.

Rather than counting each cookie separately, you can use the basic operation of math called addition to find the total faster. **Addition** is when you put together two or more numbers to find the total amount, which is called the sum. So, you would add your 4 cookies and James' 4 cookies to find that the sum is 8 cookies.

In math, this would be written as 4 + 4 = 8. However, we can also write the problem out vertically by placing the numbers right on top of each other:

Adding 4 + 4 may not be so difficult, since they are both small numbers and can be counted pretty quickly. But finding the total will not always be so easy. When you're working with larger numbers, counting to find the total can take an awfully long time, and so you need addition to find the total.

Let's say you want to add 45 + 22.

Begin by placing your numbers vertically to complete the addition problem. It's important to notice that both 45 and 22 are two-digit numbers. When setting up your numbers, you must make sure that the place values are lined up. **Place value** is the value of a digit according to its placement in the number.

Starting at the right side is the ones place. Move a digit to the left and you will find the tens place. The ones places should always be lined up, and the tens places should always be lined up. So, 45 + 22 written vertically would look like this:

After your problem is set up, add the numbers in the ones column. Place the total below the line in the ones place:

Next, do the same for the tens:

You now have your final answer: 45 + 22 = 67.

Sometimes, the numbers in each place value will not add up so easily. You may find that the total of the numbers in one column is higher than 9. In this case, you can't simply place the two-digit number under the line. Problems like this require **regrouping**, which is when a total in one place value is higher than 9, so you carry the rest over to the tens place.

Let's try a problem to help you better understand regrouping:

Begin by adding the ones: 7+7 is 14. Since 14 is more than 9, you must regroup. Carry the 1 from 14 over to the tens place. That leaves you with 4 in the ones place:

Now, solve for the tens, making sure to include the 1 that you carried over:

Now you have your sum: 67+27 = 94.

Addition is the process of finding the total amount, or sum, of two or more numbers. Set the problem up vertically, making sure to line up the place values, then add the numbers in each column. If the total of a column is more than 9, use regrouping to carry over the extra amount.

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Math for Kids23 chapters | 325 lessons

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