10 Principles of Calculation
Calculation is an essential part of mathematics, and understanding the principles behind it is crucial for problem-solving. Here are 10 principles of calculation that will help you improve your math skills:
1. Order of Operations
The order of operations is a fundamental principle in calculation. It states that when there are multiple operations in an expression, they should be performed in the following order:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
2. Associative Property
The associative property states that when there are three numbers being added or multiplied together, the order in which we perform the operations does not change the result.
3. Commutative Property
The commutative property states that when we swap the order of two numbers being added or multiplied together, the result remains the same.
4. Distributive Property
The distributive property states that when a number is multiplied by the sum of two numbers, it is equal to the sum of the number multiplied by each of the two numbers.
5. Inverse Operations
Inverse operations are pairs of operations that "undo" each other. For example, addition and subtraction are inverse operations, as are multiplication and division.
6. Equivalent Ratios
Equivalent ratios are ratios that have the same value, even if they are not expressed in the same way.
7. Percentage Change
Percentage change is a way to express a change in value as a percentage of the original value.
8. Rounding Numbers
Rounding numbers is a way to approximate a number to a specific decimal place or significant figure.
9. Estimation
Estimation is a way to approximate a calculation by using rough estimates of the numbers involved.
10. Check Your Work
Finally, it is essential to check your work to ensure that your calculations are accurate and correct.
By understanding and applying these 10 principles of calculation, you will become more confident and accurate in your math skills.
