Basic Arithmetic

The Art of Problem Solving

Addition

Properties of Atihmetic

It is consist of:

• Addition

• Multiplication

• Negation

• Subtraction

• Reciprocal

• Division

Poll

Have you read the first topics about

"Why start with Arithmetic"

• Yes

• Not yet

Multiple Select

Which of the following words that you find and understand the meaning?

• Prealgebra

• Ellipsis

• Word Problem

• Nonnegative

• Number line

Open Ended

You know how to add, subtract, multiply, and divide.

But

You should start this book with an entire chapter on arithmetics.

W

Multiple Choice

You probably learned most of these basics of arithmetic already.

Which one is not included in basic arithmetic?

• Adding

• Subtracting

• Multiplying

• Dividing

• Exotic thing

Fill in the Blank

What is the hardest thing that you usually do in arithmetic?

Multiple Choice

Arithmetic can be used to solve simple problem easily. which one of correct the example?

• Compute rocket's trajectory

• Analyze a financial market

• Number of ways a text message can be routed

• Counting apples

Fill in the Blank

For more complicated problem we need a more advanced toolbox than arithmetic. What is it?

left side equals to 2 x 8 which is 16

and

right side equals to 6 + 10 which is 16 also.

​​Arithmetic

a, b, and c can be any number.

But

They can be more complicated mathematical object.

Algebra

Back to Our goal

For chapter I ~ Properties of Arithmetics

Carefully lay down RULES of arithmetic.

Give you some idea how as to why these rules are TRUE.

Once you know the rules, you will be ready to start thinking algebraically.