Addition

Addition is one of four basic operations of arithmetic. It is extremely important that you are confident in your addition skills because you will use addition throughout your ENTIRE life in many, many

Addition is "the action or process of adding something to something else" and/or "the process or skill of calculating the total of two or more numbers or amounts." To add, "join (something) to something else so as to increase the size, number, or amount.

— Oxford Languages & Dictionary

Quick Overview of Addition:

There are four parts of addition: the addend, the addition symbol, the equal sign, and the sum.

Example problem/equation: $32 + 18 = 50$

Terminology:

• Addend - the two numbers that are being added together. These two numbers together, create the left-hand side (LHS) of the equation. These are the two quantities that get added together to form the final result (sum). In the problem above, the addends are 32 and 18

• Addition symbol ( + ) - this is how you know what operation the problem is. If the symbols look like + then it is an addition problem. In the problem above, the symbol, +, is shown so it is an addition problem

• Equal Sign - the symbol (=) in the middle of the equation. This symbol sets the left-hand side (LHS) EQUAL to the right-hand side (RHS)

• Sum - the number that is the result of the two addends being added together. This number will always be on the far right-hand side (RHS) of the equation. In the problem above, the sum is 50

Properties of Addition:

• Commutative Property of Addition - this property states; it doesn't matter what order you add the numbers in an addition equation, you will always get the same answer. For example, if you add any two numbers like $6 + 2$, you get 8, but if you add $2 + 6$ you also get 8. This is why it doesn't matter what order you add the addends in

• Associative Property of Addition - this property states; it doesn't matter which way you chose to group a pure (only addition) addition statement in, you will always get the same answer. For example, if you take $2 + (6 + 2)$and $6 + (2 + 2)$, you will get 10 for both of them. This is why it won't matter which way you order or add the numbers (similar to commutative, but meant for more complex addition statements)

• Identity Property of Addition - this property states; if you add any number to zero (0), it will result in the same number you started with. For example, if you take $10 + 0$, it will result in 10. This is why adding 0 to anything will end up with the number that you started with (you essentially just added nothing, so obviously you get the same answer)

Application for Addition:

• Normally, addition is used to find the combined total of something. For example, prices, food, toys, and any other object.

• For example, if Sara had 5 bags of candy and her friend gave her 3 bags, how many bags would be left for Sara to enjoy? To solve this, you would set up an easy addition problem, $5 + 3$, then you would solve it. Once you solve it you should get 8 bags!

Complex addition:

• $1/6 + 4/5$

• $0.26 + 0.871$

• And many more you will see later on!

Links to resources, videos, and worksheets:

• The Story Of Mathematics (Website)

• Math is Fun (Website)

• Math Is Fun (Worksheet)

The components of addition!

Lesson Complete!