Rewriting the Statement with One Pair of Brackets

Oct 13, 2025 by miodeya.com 115 views

Introduction

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is used in various fields such as science, technology, engineering, and mathematics (STEM), economics, finance, and many more. In this article, we will focus on solving mathematical expressions, specifically the order of operations and the use of brackets.

Order of Operations

The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Solving the Expression 7(2+4 × 5)

To solve the expression 7(2+4 × 5), we need to follow the order of operations.

Step 1: Evaluate the expression inside the parentheses

First, we need to evaluate the expression inside the parentheses: 2+4 × 5.

4 × 5 = 20
2 + 20 = 22

So, the expression inside the parentheses is equal to 22.

Step 2: Multiply 7 by the result

Now, we need to multiply 7 by the result: 7 × 22.

7 × 22 = 154

Therefore, the final answer is 154.

Rewriting the Statement with One Pair of Brackets

The given statement is:

{ \begin{array}{l} 1+2 \times 3+4=15 \\ 1+(2 \times 3)+4=15 \end{array} \}

To rewrite this statement with one pair of brackets, we need to follow the order of operations.

Step 1: Evaluate the expression inside the parentheses

First, we need to evaluate the expression inside the parentheses: 2 × 3.

2 × 3 = 6

So, the expression inside the parentheses is equal to 6.

Step 2: Rewrite the statement with one pair of brackets

Now, we can rewrite the statement with one pair of brackets:

{ (1+2 \times 3)+4=15 }

This statement is equivalent to the original statement.

Discussion

In this article, we have discussed the order of operations and the use of brackets in mathematical expressions. We have also solved the expression 7(2+4 × 5) and rewritten the statement with one pair of brackets.

Conclusion

Mathematics is a fundamental subject that plays a crucial role in our daily lives. The order of operations and the use of brackets are essential concepts in mathematics. By following the order of operations and using brackets correctly, we can solve mathematical expressions accurately and efficiently.

Tips and Tricks

Always follow the order of operations when solving mathematical expressions.
Use brackets to group expressions and avoid confusion.
Practice solving mathematical expressions to improve your skills.

Frequently Asked Questions

What is the order of operations?
- The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression.
What is the acronym PEMDAS?
- PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
How do I use brackets in mathematical expressions?
- Use brackets to group expressions and avoid confusion.
  Mathematics Q&A: Frequently Asked Questions and Answers ===========================================================

Introduction

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is used in various fields such as science, technology, engineering, and mathematics (STEM), economics, finance, and many more. In this article, we will answer some frequently asked questions about mathematics.

Q&A

Q: What is the order of operations?

A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: What is the acronym PEMDAS?

A: PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Q: How do I use brackets in mathematical expressions?

A: Use brackets to group expressions and avoid confusion. For example, consider the expression 3 × (2 + 4). Without brackets, the expression would be evaluated as 3 × 2 + 4, which is incorrect. With brackets, the expression is evaluated as 3 × (2 + 4) = 3 × 6 = 18.

Q: What is the difference between multiplication and division?

A: Multiplication and division are both operations that involve numbers, but they have different meanings. Multiplication involves repeated addition, while division involves sharing or grouping.

Q: How do I evaluate expressions with exponents?

A: Exponents are used to represent repeated multiplication. For example, 2^3 means 2 multiplied by itself 3 times, or 2 × 2 × 2 = 8.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are both operations that involve numbers, but they have different meanings. Addition involves combining numbers, while subtraction involves finding the difference between numbers.

Q: How do I evaluate expressions with fractions?

A: Fractions are used to represent part of a whole. To evaluate expressions with fractions, you need to follow the order of operations and simplify the fraction.

Q: What is the difference between a variable and a constant?

A: A variable is a letter or symbol that represents a value that can change, while a constant is a value that does not change.

Q: How do I solve linear equations?

A: Linear equations are equations that involve a variable and a constant. To solve linear equations, you need to isolate the variable by adding, subtracting, multiplying, or dividing both sides of the equation.

Q: What is the difference between a function and an equation?

A: A function is a relation between a set of inputs and a set of possible outputs, while an equation is a statement that two expressions are equal.

Q: How do I graph functions?

A: Graphing functions involves plotting points on a coordinate plane and drawing a line through the points.

Q: What is the difference between a linear function and a quadratic function?

A: A linear function is a function that can be written in the form f(x) = ax + b, while a quadratic function is a function that can be written in the form f(x) = ax^2 + bx + c.

Q: How do I solve quadratic equations?

A: Quadratic equations are equations that involve a variable and a constant. To solve quadratic equations, you need to use the quadratic formula or factor the equation.

Conclusion

Mathematics is a fundamental subject that plays a crucial role in our daily lives. By understanding the basics of mathematics, you can solve problems and make informed decisions. In this article, we have answered some frequently asked questions about mathematics.

Tips and Tricks

Always follow the order of operations when solving mathematical expressions.
Use brackets to group expressions and avoid confusion.
Practice solving mathematical expressions to improve your skills.
Review the basics of mathematics regularly to stay up-to-date.

Frequently Asked Questions

What is the order of operations?
What is the acronym PEMDAS?
How do I use brackets in mathematical expressions?
What is the difference between multiplication and division?
How do I evaluate expressions with exponents?
What is the difference between addition and subtraction?
How do I evaluate expressions with fractions?
What is the difference between a variable and a constant?
How do I solve linear equations?
What is the difference between a function and an equation?
How do I graph functions?
What is the difference between a linear function and a quadratic function?
How do I solve quadratic equations?