Calculate The Expression: $5 \times 2(10)$.1.3 Give ONE Word/phrase For Each Of The Following Descriptions. Write Only The Word/term Next To The Question Number (1.3.1-1.3.5).1.3.1 The Ability Of An Animal To Regulate Its Body Temperature.
Introduction
Mathematical expressions are a fundamental concept in mathematics, and solving them requires a clear understanding of the order of operations and the rules of arithmetic. In this article, we will focus on calculating the expression: $5 \times 2(10)$. We will break down the expression into smaller parts, apply the rules of arithmetic, and provide a step-by-step solution.
Understanding the Expression
The given expression is: $5 \times 2(10)$. To solve this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this case, we have a multiplication operation inside the parentheses.
Breaking Down the Expression
Let's break down the expression into smaller parts:
- The expression inside the parentheses is:
- The multiplication operation is:
Solving the Expression Inside the Parentheses
To solve the expression inside the parentheses, we need to multiply 2 by 10:
Substituting the Value Inside the Parentheses
Now that we have the value inside the parentheses, we can substitute it into the original expression:
Solving the Multiplication Operation
To solve the multiplication operation, we need to multiply 5 by 20:
Conclusion
In this article, we solved the mathematical expression: $5 \times 2(10)$. We broke down the expression into smaller parts, applied the rules of arithmetic, and provided a step-by-step solution. By following the order of operations and the rules of arithmetic, we were able to arrive at the final answer.
Discussion Category: Mathematics
Mathematics is a vast and fascinating field that encompasses various branches, including algebra, geometry, trigonometry, and calculus. It is a fundamental subject that is used in various fields, such as science, engineering, economics, and finance. In this article, we focused on solving a mathematical expression, which is a fundamental concept in mathematics.
Related Topics
- Order of operations
- Arithmetic rules
- Mathematical expressions
- Algebra
- Geometry
- Trigonometry
- Calculus
Glossary
- Expression: A mathematical statement that contains variables, constants, and mathematical operations.
- Parentheses: Symbols used to group mathematical expressions and indicate the order of operations.
- Multiplication: A mathematical operation that involves the repeated addition of a number.
- Division: A mathematical operation that involves the repeated subtraction of a number.
- Addition: A mathematical operation that involves the combination of two or more numbers.
- Subtraction: A mathematical operation that involves the difference between two or more numbers.
Frequently Asked Questions
1.3.1 What is the ability of an animal to regulate its body temperature?
- Thermoregulation
1.3.2 What is the process of solving a mathematical expression?
- Evaluation
1.3.3 What are the rules of arithmetic?
- Order of operations
1.3.4 What is the difference between a mathematical expression and an equation?
- Expression: A mathematical statement that contains variables, constants, and mathematical operations.
- Equation: A mathematical statement that contains an equal sign and two or more mathematical expressions.
1.3.5 What is the importance of mathematics in science and engineering?
- Mathematics: A fundamental subject that is used in various fields, such as science, engineering, economics, and finance.
Mathematical Expressions: A Q&A Guide =====================================
Introduction
Mathematical expressions are a fundamental concept in mathematics, and solving them requires a clear understanding of the order of operations and the rules of arithmetic. In this article, we will provide a Q&A guide to help you understand mathematical expressions and solve them with confidence.
Q&A: Mathematical Expressions
Q1: What is a mathematical expression?
A1: A mathematical expression is a statement that contains variables, constants, and mathematical operations. It is a way to represent a mathematical relationship between variables and constants.
Q2: What is the order of operations?
A2: The order of operations is a set of rules that determines the order in which mathematical operations should be performed. The order of operations is:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Q3: What is the difference between a mathematical expression and an equation?
A3: A mathematical expression is a statement that contains variables, constants, and mathematical operations. An equation is a mathematical statement that contains an equal sign and two or more mathematical expressions.
Q4: How do I evaluate a mathematical expression?
A4: To evaluate a mathematical expression, you need to follow the order of operations. First, evaluate any expressions inside parentheses. Then, evaluate any exponents. Next, perform any multiplication and division operations from left to right. Finally, perform any addition and subtraction operations from left to right.
Q5: What is the importance of mathematical expressions in science and engineering?
A5: Mathematical expressions are used to describe the relationships between variables and constants in scientific and engineering problems. They are used to model real-world phenomena, make predictions, and solve problems.
Q6: How do I simplify a mathematical expression?
A6: To simplify a mathematical expression, you need to combine like terms and eliminate any unnecessary operations. You can also use algebraic identities to simplify expressions.
Q7: What is the difference between a variable and a constant?
A7: A variable is a symbol that represents a value that can change. A constant is a value that does not change.
Q8: How do I solve a linear equation?
A8: To solve a linear equation, you need to isolate the variable on one side of the equation. You can do this by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same value.
Q9: What is the difference between a linear equation and a quadratic equation?
A9: A linear equation is an equation that contains a linear expression, which is an expression that can be written in the form ax + b = c. A quadratic equation is an equation that contains a quadratic expression, which is an expression that can be written in the form ax^2 + bx + c = 0.
Q10: How do I solve a quadratic equation?
A10: To solve a quadratic equation, you need to use the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / 2a. You can also use factoring or the quadratic formula to solve quadratic equations.
Conclusion
Mathematical expressions are a fundamental concept in mathematics, and solving them requires a clear understanding of the order of operations and the rules of arithmetic. By following the order of operations and using algebraic identities, you can simplify and solve mathematical expressions with confidence. We hope this Q&A guide has helped you understand mathematical expressions and solve them with ease.
Discussion Category: Mathematics
Mathematics is a vast and fascinating field that encompasses various branches, including algebra, geometry, trigonometry, and calculus. It is a fundamental subject that is used in various fields, such as science, engineering, economics, and finance. In this article, we focused on mathematical expressions and provided a Q&A guide to help you understand and solve them.
Related Topics
- Order of operations
- Arithmetic rules
- Mathematical expressions
- Algebra
- Geometry
- Trigonometry
- Calculus
Glossary
- Expression: A mathematical statement that contains variables, constants, and mathematical operations.
- Parentheses: Symbols used to group mathematical expressions and indicate the order of operations.
- Multiplication: A mathematical operation that involves the repeated addition of a number.
- Division: A mathematical operation that involves the repeated subtraction of a number.
- Addition: A mathematical operation that involves the combination of two or more numbers.
- Subtraction: A mathematical operation that involves the difference between two or more numbers.
- Variable: A symbol that represents a value that can change.
- Constant: A value that does not change.
- Linear equation: An equation that contains a linear expression.
- Quadratic equation: An equation that contains a quadratic expression.
Frequently Asked Questions
1.3.1 What is the ability of an animal to regulate its body temperature?
- Thermoregulation
1.3.2 What is the process of solving a mathematical expression?
- Evaluation
1.3.3 What are the rules of arithmetic?
- Order of operations
1.3.4 What is the difference between a mathematical expression and an equation?
- Expression: A mathematical statement that contains variables, constants, and mathematical operations.
- Equation: A mathematical statement that contains an equal sign and two or more mathematical expressions.
1.3.5 What is the importance of mathematics in science and engineering?
- Mathematics: A fundamental subject that is used in various fields, such as science, engineering, economics, and finance.