ARITHMETIC TO ALGEBRA- 1

 ARITHMETIC TO ALGEBRA -1

FOUR FUNDAMENTAL OPERATIONS

The four fundamental operations in mathematics are addition, subtraction, multiplication, and division. These operations are used to combine numbers, find differences, and solve various mathematical problems. 

1. Addition:

·         Definition: Combining two or more numbers to find their total or sum.

·         Symbol: +

·         Example: 3 + 5 = 8. 

2. Subtraction:

·         Definition: Finding the difference between two numbers or how much remains after a quantity is removed.

·         Symbol: -

·         Example: 10 - 4 = 6. 

3. Multiplication:

·         Definition: Repeated addition of a number. Also used to find the total when there are multiple groups of the same number. 

·         Symbols: ×, *, .

·         Example: 2 × 6 = 12 or 2 * 6 = 12. 

4. Division:

·         Definition: Splitting a number into equal groups or finding how many times one number contains another.

·         Symbols: ÷, /

·         Example: 15 ÷ 3 = 5 or 15 / 3 = 5. 

 

MATHEMATICAL STATEMENT

 

A mathematical statement is a sentence that can be definitively determined as either true or false, but not both. 

EXAMPLE:

          1. 2 + 4 =6          True           Mathematical statement       

          2. 6 -4 = 2           True           Mathematical statement

          3. 7 + 4 = 10       False          Mathematical statement

          4. 3 X 6 = 12      False          Mathematical statement

 

OPEN STATEMENT

An open statement contains one or more variables and is neither true nor false until the variables are assigned specific values. 

Examples:

·         x + 3 = 7 (The truth value depends on the value of x). 

·         y < 5 (The truth value depends on the value of y). 

 

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