Ethereum: How Multiplication and Division Work in Solidity
= Let’s examine the example you provided:
Amount = (15-10) 10 / 15 (10000 - 5000) / 10000;
Breaking down this expression, we can follow the precedence rules:
- Evaluate the expressions in parentheses:
(15-10)
and(10000 - 5000)
15-10 = 5
(exponentiation does not apply)
10000 - 5000 = 5000
(exponentiation does not apply)
- Multiply
5
by10
:5 * 10 = 50
- Divide
50
by15
:50 / 15 = 3.333...
(division is not exact due to floating point arithmetic)
- Finally, multiply the result by
(5000 / 10000)
:(3.333...) * (5) = 16.666...
By Therefore, the correct calculation should actually be:
Sum = 50 / 15 * 5000 / 10000;
Note 5 * 10 / 15
.
Common Mistakes
————-
To avoid common mistakes when working with arithmetic operations in Solidity:
- Always evaluate expressions in parentheses first.
- Be careful with exponents (e.g., **) and make sure you perform the operation correctly.
- When dividing, use floating-point arithmetic to avoid problems due to integer division.
Best Practices
————-
To write solid and efficient code:
- Use parentheses to group operations for clarity.
- Follow the precedence rules carefully.
- Be aware of exponentiation (e.g., **) when performing calculations involving large numbers or exponential growth.
By understanding how multiplication and division work in Solidity, you will be able to write more accurate and reliable smart contracts that take advantage of the unique features of the language.
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