34-36+39 In Integers
Introduction to Integers and Basic Operations
In mathematics, integers are whole numbers, either positive, negative, or zero, without a fractional part. They are the building blocks of arithmetic and are used to represent quantities that can be counted. When dealing with integers, we perform basic operations such as addition, subtraction, and multiplication. In this article, we will explore the concept of 34-36+39 in integers and understand how to evaluate this expression.
Evaluating Expressions with Multiple Operations
When evaluating expressions with multiple operations, we need to follow the order of operations (PEMDAS):
- 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.
Applying the Order of Operations to 34-36+39
To evaluate the expression 34-36+39, we need to follow the order of operations:
- Subtract 36 from 34: 34 - 36 = -2
- Add 39 to -2: -2 + 39 = 37
Therefore, the value of the expression 34-36+39 is 37.
Understanding the Concept of Negative Numbers
In the expression 34-36+39, we encountered a negative number (-2). Negative numbers are integers that are less than zero. They are used to represent quantities that are opposite in direction or magnitude. For example, a temperature of -5°C is colder than a temperature of 0°C.
Properties of Negative Numbers
Negative numbers have several properties that are important to understand:
- Addition: When adding a negative number to a positive number, the result is the difference between the two numbers. For example, -2 + 3 = 1.
- Subtraction: When subtracting a negative number from a positive number, the result is the sum of the two numbers. For example, 3 - (-2) = 5.
- Multiplication: When multiplying a negative number by a positive number, the result is negative. For example, -2 × 3 = -6.
- Division: When dividing a negative number by a positive number, the result is negative. For example, -6 ÷ 3 = -2.
Real-World Applications of Integers and Negative Numbers
Integers and negative numbers have numerous real-world applications in various fields, including:
- Finance: Integers are used to represent money and financial transactions. Negative numbers are used to represent debts and losses.
- Science: Integers are used to represent quantities such as temperature, pressure, and time. Negative numbers are used to represent quantities such as altitude and depth.
- Engineering: Integers are used to represent quantities such as distance, speed, and time. Negative numbers are used to represent quantities such as altitude and depth.
Conclusion
In conclusion, the expression 34-36+39 is a simple arithmetic expression that involves subtraction and addition. By following the order of operations, we can evaluate the expression and determine its value. Understanding integers and negative numbers is essential in mathematics and has numerous real-world applications in various fields.
Frequently Asked Questions
Q: What is the value of the expression 34-36+39?
A: The value of the expression 34-36+39 is 37.
Q: What is the difference between a positive number and a negative number?
A: A positive number is an integer that is greater than zero, while a negative number is an integer that is less than zero.
Q: How do you add a negative number to a positive number?
A: When adding a negative number to a positive number, the result is the difference between the two numbers.
Q: How do you subtract a negative number from a positive number?
A: When subtracting a negative number from a positive number, the result is the sum of the two numbers.
Q: How do you multiply a negative number by a positive number?
A: When multiplying a negative number by a positive number, the result is negative.
Q: How do you divide a negative number by a positive number?
A: When dividing a negative number by a positive number, the result is negative.
Q&A Section
In this section, we will answer some of the most frequently asked questions about the expression 34-36+39.
Q: What is the value of the expression 34-36+39?
A: The value of the expression 34-36+39 is 37.
Q: What is the difference between a positive number and a negative number?
A: A positive number is an integer that is greater than zero, while a negative number is an integer that is less than zero.
Q: How do you add a negative number to a positive number?
A: When adding a negative number to a positive number, the result is the difference between the two numbers. For example, -2 + 3 = 1.
Q: How do you subtract a negative number from a positive number?
A: When subtracting a negative number from a positive number, the result is the sum of the two numbers. For example, 3 - (-2) = 5.
Q: How do you multiply a negative number by a positive number?
A: When multiplying a negative number by a positive number, the result is negative. For example, -2 × 3 = -6.
Q: How do you divide a negative number by a positive number?
A: When dividing a negative number by a positive number, the result is negative. For example, -6 ÷ 3 = -2.
Q: Can you explain the order of operations?
A: Yes, 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 order of operations is:
- 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: Can you give an example of how to apply the order of operations?
A: Yes, let's consider the expression 3 × 2 + 12 - 5. To evaluate this expression, we need to follow the order of operations:
- Multiply 3 and 2: 3 × 2 = 6
- Add 12 to 6: 6 + 12 = 18
- Subtract 5 from 18: 18 - 5 = 13
Therefore, the value of the expression 3 × 2 + 12 - 5 is 13.
Q: Can you explain the concept of integers?
A: Yes, integers are whole numbers, either positive, negative, or zero, without a fractional part. They are the building blocks of arithmetic and are used to represent quantities that can be counted.
Q: Can you give an example of how to represent a quantity using integers?
A: Yes, let's consider the quantity of apples in a basket. If we have 5 apples in the basket, we can represent this quantity using the integer 5. If we have -3 apples in the basket, we can represent this quantity using the integer -3.
Q: Can you explain the concept of negative numbers?
A: Yes, negative numbers are integers that are less than zero. They are used to represent quantities that are opposite in direction or magnitude.
Q: Can you give an example of how to represent a quantity using negative numbers?
A: Yes, let's consider the quantity of temperature. If the temperature is -5°C, we can represent this quantity using the negative integer -5.
Q: Can you explain the concept of real-world applications of integers and negative numbers?
A: Yes, integers and negative numbers have numerous real-world applications in various fields, including finance, science, and engineering.
Q: Can you give an example of how integers and negative numbers are used in finance?
A: Yes, let's consider a bank account with a balance of $100. If we withdraw $50 from the account, the new balance will be $50. If we deposit $20 into the account, the new balance will be $70. In this example, we are using integers to represent the balance of the account and negative numbers to represent the withdrawal of funds.
Q: Can you give an example of how integers and negative numbers are used in science?
A: Yes, let's consider a thermometer that measures temperature in degrees Celsius. If the temperature is -5°C, we can represent this quantity using the negative integer -5.
Q: Can you give an example of how integers and negative numbers are used in engineering?
A: Yes, let's consider a building with a height of 10 meters. If we want to add a floor to the building, we can represent the new height using the integer 11. If we want to subtract a floor from the building, we can represent the new height using the negative integer -1.
Q: Can you explain the concept of integers and negative numbers in a simple way?
A: Yes, integers and negative numbers are simply numbers that can be used to represent quantities that can be counted. Integers are whole numbers, either positive, negative, or zero, without a fractional part. Negative numbers are integers that are less than zero. They are used to represent quantities that are opposite in direction or magnitude.
Q: Can you give an example of how to use integers and negative numbers in everyday life?
A: Yes, let's consider a simple example. If we have $100 in our pocket and we spend $50 on a meal, we can represent the remaining amount of money using the integer $50. If we receive $20 as a gift, we can represent the new amount of money using the integer $70. In this example, we are using integers to represent the amount of money and negative numbers to represent the expenditure of funds.