Final answer:
Mathematics involves universally applicable rules for arithmetic operations, including addition and subtraction. Correctly applying these rules allows for the proper calculation of arithmetic expressions, no matter the context or cultural background.
Step-by-step explanation:
The rules of mathematics dictate how to correctly perform arithmetic operations, such as addition and subtraction. Basic principles to keep in mind include:
- When two positive numbers add, the result is positive (e.g., 3 + 2 = 5).
- When adding two negative numbers, the result is also negative (e.g., -4 + (-2) = -6).
- If the numbers have opposite signs, subtract the smaller number from the larger one and keep the sign of the larger number (e.g., -5 + 3 = -2).
- In subtraction, change the sign of the number being subtracted and then follow the rules for addition (e.g., 5 - 3 = 5 + (-3) = 2).
By using these rules, students can determine the proper outcomes for arithmetic expressions and understand the significance of signs in calculations. For multiplication and division, similar rules for the sign of the answer apply.