Welcome to a lesson on adding whole numbers.
The goals of this video are to define whole numbers, define place value of whole numbers,
and also to add whole numbers.
Whole numbers are the numbers that you probably use most often in your life.
Whole numbers consist of all of the natural numbers, or counting numbers, as we see here, and zero.
Here we see a very straight-forward addition problem of two whole numbers.
We have one plus two equals three which means if we take one item and we add two more items, we have a total of one, two, three items.
The numbers being added are called the addends. So in this case the addends would be one and two.
And the answer is called the sum. So in this problem, three is the sum.
Now one key to adding whole numbers is knowing place value.
Starting with the right-most digit of a whole number, we would have the one's,
the tens,
hundreds,
thousands,
ten thousands
hundred thousands, and millions.
So for example, if we wanted to write this number in expanded form to represent the place value of each digit,
we could write this number in this table.
So this one represents ten thousand.
This five is in the thousands place value, so this represents five thousand.
The two is in the hundreds, so this represents two hundred.
The six is in the tens, so that represents sixty.
The four is in the one's, so that represents four.
So this expanded form shows what each digit represents in this number based upon its place value.
Okay, so here's the procedure for adding whole numbers.
We're going to write this sum in vertical form and line up the corresponding place values,
and then we'll add by starting with the one's column, and then work our way left.
We will have to carry if the sum of any column is a two digit number.
So here's an example.
Three hundred forty-eight plus seventy-three.
We'll write this in vertical form, so we'll write down three hundred forty-eight,
and then writing this in vertical form, we'll line up the seven in the ten's column with this four in the ten's column,
and we'll line up the three with the eight in the one's column.
And now we'll find this sum by adding up the columns, starting with the one's column.
Eight plus three would be eleven. Eleven would be a one in the ten's column and a one in the one's column.
So we write down the one in the one's column and we carry the one over to the ten's column.
Now when we add the digits in the ten's column, we have to add one, plus four, plus seven.
Well that would be twelve, so we write down the two in the ten's column and we carry the one over to the hundred's column.
So for the hundred's column, we have one plus three which would be four.
Our sum is four hundred twenty-one.
Here we have fourteen thousand three hundred eighty-nine plus six thousand eight hundred forty-six.
Let's write it vertically.
Notice all of the place values are lined up vertically.
Let's go ahead and start to find the sum of each column starting in the one's.
Nine plus six would be fifteen. So we write down the five in the one's column and carry a one to the ten's column.
One plus eight plus four would be thirteen, so you write down the three and carry the one.
One plus three plus eight, that would be twelve.
Write down the two, carry the one.
One plus four plus six, that would be eleven.
Write down the one, carry a one. One plus one would be two.
Our sum is twenty-one thousand two hundred thirty-five.
Here we have seven million four thousand five hundred eighty-five plus eighty-six thousand nine hundred forty-two.
Let's write it in vertical form.
Starting in the one's, we have five plus two, that would be seven.
In the ten's, we have eight plus four, that would be twelve.
We write down the two, and carry the one.
One plus five plus nine, that's gonna give us fifteen.
Write down the five, carry the one.
One plus four plus six, that's eleven. Write down the one, carry the one.
One plus zero plus eight, that would be nine.
Notice in the next column we just have a zero. Next column is just a seven.
So our sum is seven million ninety-one thousand five hundred twenty-seven.
Now let's take a look at a word problem.
The current balance of your checking account is two hundred four dollars. If you deposit your paycheck for seven hundred forty-eight dollars
and a rebate check for one hundred forty nine dollars, what will the new balance of your checking account be once the checks have cleared?
So we have two hundred four dollars in our checking account and then we add our deposit of seven hundred forty-eight dollars
and then add the rebate check for one hundred forty-nine dollars.
So we want to find the sum of these three numbers.
So as long as we line up the place values, we can add all three of these at the same time.
We have two hundred four, seven hundred forty-eight, and one hundred forty-nine.
And we'll follow the same procedure. We'll start with the one's column.
Four plus eight would be twelve, plus nine, that would be twenty-one.
So we write down the one and carry the two into the ten's column.
Here we have zero plus four plus four, that's eight. Plus the two that we carried, that would be ten.
So we write down the zero and carry the one to the hundred's column.
So here we have two plus seven plus one, that's ten, plus one which would be eleven.
So the new balance in the checking account will be one thousand one hundred one dollars.
Okay, that's gonna do it for adding whole numbers. I hope you found this video helpful.