To solve the expression 29 - 30 ÷ 5 × 3 + 12, we need to follow the order of operations, also known as PEMDAS. This acronym stands for Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right.
Let's break down the steps:
1. Start with the division: 30 ÷ 5 = 6.
The division operation is done first because it comes before multiplication in the order of operations.
2. Next, perform the multiplication: 6 × 3 = 18.
After the division, we move on to the multiplication operation.
3. Then, perform the addition and subtraction from left to right: 29 - 18 + 12.
Following the order of operations, we perform the subtraction first since it comes before addition.
4. Perform the subtraction: 29 - 18 = 11.
We subtract 18 from 29.
5. Finally, perform the addition: 11 + 12 = 23.
We add 11 and 12 together to get the final answer.
Therefore, the solution to the expression 29 - 30 ÷ 5 × 3 + 12 is 23.
Remember, it's important to follow the order of operations when solving mathematical expressions to ensure the correct answer. If you have any more questions, feel free to ask!