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College Algebra: Help and Review27 chapters | 229 lessons | 1 flashcard set

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Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Addition is one of the basic operations of math. You can say that the whole of mathematics is based on addition. Without addition, we wouldn't have higher math. Watch this video to learn how to add.

What is addition? We can say that **addition** is the combining of two or more small groups of items together to make one big group. When we add, we usually start out with two or more numbers and then we combine them into one big number. We will see how this is done in this video lesson, so keep watching. I'm also going to show you a way of thinking about addition that might make it easier for you.

To start, let's talk about how to add. We just talked about what addition is, so now we can talk about how to actually do it. One way of thinking about addition that works really well for me is to just think of adding numbers as adding money. We actually add all the time when we are thinking about money and shopping. If we grab two chocolate bars that are each two dollars, we automatically think in our heads that it would cost us four dollars to buy them both.

What did we just do? We just added without thinking about it too much. So, to add, we are simply combining two or more amounts and finding the total.

In math, we have a symbol for addition. It is the symbol that looks like a cross: +. We place this symbol between two numbers that we want to add together. We can just add two numbers together, such as 1 + 1, or we can add a string of numbers together, such as 1 + 2 + 3. We can keep on stringing numbers together to add them all up. Now let's see how to add two numbers together.

Let's say we want to add 2 and 3 together. How do we go about doing this? We can think of the 2 and 3 in terms of money. If we were shopping and we wanted to buy one candy bar that was two dollars and a second candy bar that costs three dollars, how much money would we need to buy them both? We would need five dollars since 2 + 3 = 5. We have just added.

Another way to visualize our addition is to think of the 2 and 3 in terms of number of items. We can picture first two donuts and then three donuts. We then picture all the donuts together and ask ourselves 'How many donuts do we have total?' We will see that we have a total of 5 donuts. So 2 + 3 = 5.

Now, what about adding more than two numbers? What if our problem is 1 + 2 + 3? How do we add three numbers together? We can think of it as buying three items instead of just two. We are still looking for a total. So, if we wanted to purchase three items where the first item is a dollar, the second item two dollars, and the third item three dollars, we would have to add these dollar amounts together. We see that we would need six dollars if we wanted to purchase all three items.

We can also picture some donuts. We can picture one donut for the 1, two donuts for the 2 and three donuts for the 3. Put them all in one box and then we can count how many donuts we have in total. We see that 1 + 2 + 3 = 6. So adding more than two numbers together is very similar to adding two numbers together. Either way, we are still getting the total of all the numbers.

Let's review what we've learned. We learned that **adding** is the combining of two or more numbers together. To help us add, we can think about adding numbers as adding up the cost of several items that we want to purchase. Or we can picture each number as a number of items, such as donuts. We then place all these items into one big box to see how many we have in total. We can add just two numbers as 1 + 1, or we can add a string of numbers, such as 1 + 2 + 3. Any which way, we are finding the total of these numbers.

After watching this lesson and memorizing its content, you should be able to do the following:

- Recognize the addition symbol
- Visualize the addition process
- Know how to add two or more numbers together
- Compare numbers to money when adding

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College Algebra: Help and Review27 chapters | 229 lessons | 1 flashcard set

- What Is a Number Line? 5:16
- Binary and Non-Binary Operations 5:34
- How to Perform Addition: Steps & Examples 4:07
- How to Perform Multiplication: Steps & Examples 5:22
- How to Multiply Large Numbers: Steps and Examples 7:43
- How to Perform Division: Steps & Examples 3:56
- Performing Long Division with Large Numbers: Steps and Examples 9:12
- Arithmetic Calculations with Signed Numbers 5:21
- The Commutative Property: Definition and Examples 3:53
- The Associative Property: Definition and Examples 4:28
- The Multiplication Property of Zero: Definition & Examples 2:40
- How to Find the Greatest Common Factor 4:56
- How to Find the Least Common Multiple 5:37
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