Problem 232 Simplify each expression. $$ ... [FREE SOLUTION]

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Chapter 1: Problem 232

Simplify each expression. $$ 45-69 $$

Short Answer

Expert verified

-24

Step by step solution

Identify the Operation

Determine the arithmetic operation involved. Here, subtraction is the operation.

Write Down the Expression

Write the given expression clearly: $ 45 - 69 $.

Subtract the Numbers

Subtract 69 from 45. Since 69 is larger than 45, we will end up with a negative result: $ 45 - 69 = -24 $.

Verify the Result

Check the subtraction by reversing the operation. Adding $ -24 $ to 69 should give us 45: $ -24 + 69 = 45 $.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Arithmetic Operations

Arithmetic operations are the basic building blocks of mathematics. These are the operations used to perform calculations, including addition, subtraction, multiplication, and division. Understanding these operations is essential for solving mathematical problems.
In the exercise provided, we are focusing on subtraction, one of the four primary arithmetic operations. Subtraction allows us to find the difference between two numbers. It's crucial to approach each arithmetic operation step by step to ensure accuracy. Let's explore further concepts to deepen our understanding.

Negative Numbers

Negative numbers are numbers less than zero. They are represented with a minus sign (-) in front of the number. Negative numbers are important in mathematics as they allow us to represent values below zero, such as temperatures, depths, or debts.
For instance, if you have $5 and owe $8, you essentially need another $3 to settle your debt, which can be represented as -3. Understanding negative numbers is crucial when dealing with subtraction, especially when the result is less than zero.
In our given exercise, subtracting 69 from 45 results in a negative number because 69 is greater than 45.

Integer Subtraction

Integer subtraction involves finding the difference between whole numbers, which includes positive numbers, negative numbers, and zero. When subtracting integers, it's important to consider the sign of both numbers involved.
Here is a brief guideline for subtracting integers:

Subtracting a positive from a positive can produce a positive or negative result depending on the values.
Subtracting a negative number is equivalent to adding its positive counterpart.
Subtracting a larger number from a smaller number will result in a negative number.

In our exercise, the integer subtraction of 45 and 69 leads to a negative number: $ 45 - 69 = -24 $. This is verified by reversing the operation: $ -24 + 69 = 45 $. Mastering integer subtraction lays a strong foundation for more complex arithmetic operations and problem-solving scenarios.

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91影视

Simplify each expression. $$ 45-69 $$

Short Answer

Step by step solution

Identify the Operation

Write Down the Expression

Subtract the Numbers

Verify the Result

Key Concepts

Arithmetic Operations

Negative Numbers

Integer Subtraction

One App. One Place for Learning.

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