Question

Скобки в задачах по математике

Answer 1

Если перед скобками стоит знак минус то скобки раскрываем знаки в скобках меняем
Если же стоит знак плюс то скобки раскрываем знаки в скобках не меняем

Answer 2

Parentheses in Mathematics

Parentheses play an important role in mathematics. They are used to group numbers, variables, and operations together to indicate the order of operations and clarify the intended meaning of an expression. Here are some key points about parentheses in mathematics:

1. Order of Operations: Parentheses are used to indicate the order in which operations should be performed in an expression. The order of operations, also known as PEMDAS or BODMAS, is as follows: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). By using parentheses, you can change the order of operations and evaluate expressions correctly.

2. Grouping: Parentheses are used to group numbers, variables, and operations together. This helps to clarify the intended meaning of an expression and avoid ambiguity. By grouping terms with parentheses, you can perform operations on them as a single unit.

3. Function Arguments: Parentheses are used to enclose the arguments of a function. In mathematics, functions are often represented by symbols followed by parentheses. The arguments, or inputs, of the function are placed inside the parentheses. For example, in the expression `f(x)`, `x` is the argument of the function `f`.

4. Matrices and Vectors: Parentheses are used to enclose matrices and vectors. Matrices are rectangular arrays of numbers, and vectors are special types of matrices with only one row or one column. The elements of a matrix or vector are enclosed in parentheses or square brackets.

5. Combining Parentheses: In more complex expressions, parentheses can be nested or combined to indicate different levels of grouping. For example, `(2 + 3) × (4 - 1)` indicates that the addition inside the first set of parentheses should be performed before the subtraction inside the second set of parentheses.

It's important to note that the specific use of parentheses may vary depending on the context and the mathematical notation being used. Always refer to the specific rules and conventions of the mathematical system or notation you are working with.

I hope this explanation helps! Let me know if you have any further questions.