How do I use parentheses in calculations?

How do I use parentheses in calculations?

Parentheses are used to indicate which operations should be performed first in a calculation. For example, in the expression 2 + 3 × 4, you would multiply first, resulting in 2 + 12 = 14. But if you use parentheses like this: (2 + 3) × 4, you would add first, resulting in 5 × 4 = 20.

Can you give me more examples?

Sure! For instance, in the expression 10 - (2 + 3) × 2, you would first calculate the parentheses: 2 + 3 = 5, then multiply: 5 × 2 = 10, and finally subtract: 10 - 10 = 0.

What happens if I don't use parentheses?

If you don't use parentheses, the order of operations (PEMDAS/BODMAS) will dictate how the calculation is performed. This can lead to different results. For example, without parentheses, 10 - 2 + 3 × 4 would be calculated as 10 - 2 + 12 = 20, instead of 0.

Are there any common mistakes to avoid?

Yes, a common mistake is forgetting to apply the order of operations correctly. Always remember to calculate expressions inside parentheses first, and be cautious with negative numbers and multiple operations.