What is the correct order of precedence of arithmetic operators from highest to lowest?a.%, *, /, +, –b.%, +, -, *, /c.%, +, -, / , *d.%, +, *, -, /

To determine the correct order of precedence of arithmetic operators from highest to lowest, it is essential to understand the standard rules of operator precedence in mathematics.

Analysis of Options

1. Option a: %, *, /, +, –

   • This order suggests multiplication and division have higher precedence than addition and subtraction, which is correct. However, it places % (modulus) at the highest precedence, which is not accurate.

2. Option b: %, +, -, *, /

   • This order incorrectly positions addition and subtraction above multiplication and division, which is incorrect.

3. Option c: %, +, -, /, *

   • This order is incorrect for the same reason as option b, positioning addition and subtraction above division and multiplication, and incorrect usage of precedence.

4. Option d: %, +, *, -, /

   • This order is also incorrect as it suggests addition is prioritized over multiplication.

Correct Order of Precedence

The correct order of precedence for arithmetic operators is as follows:

1. Parentheses ()
2. Exponentiation ^ (not included in the options)
3. Multiplication * and Division / (from left to right)
4. Modulus % (typically treated at the same level as multiplication and division)
5. Addition + and Subtraction - (from left to right)

Conclusion

The correct order of precedence among the arithmetic operators provided is **multiplication and division (including modulus) first, followed by addition and subtraction. The correct interpretation for the provided options indicates that none of the options accurately reflect the standard operator precedence. However, since % is often treated with multiplication and division, the most appropriate answer considering mathematical convention is:

Final Answer

None of the given options correctly state the order. The generally accepted order is: *, /, %, +, -.