Problem 91 To find the difference between a... [FREE SOLUTION]

Chapter 1: Problem 91

To find the difference between a and b, we subtract b from a. Subtract 37 from \(-21\)

Short Answer

Expert verified

-58

Step by step solution

Understand the Problem

We need to find the difference between two numbers, specifically 37 and -21. This means we need to subtract 37 from -21.

Set Up the Equation

Write the equation as -21 - 37.

Perform the Subtraction

To subtract 37 from -21, we add the negative of 37 to -21. That is -21 - 37 = -21 + (-37).

Simplify the Expression

Perform the addition: -21 + (-37) = -58.

Write the Final Answer

The result of subtracting 37 from -21 is -58.

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Key Concepts

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

Negative Numbers

Negative numbers represent values less than zero. They are usually written with a minus sign (e.g., -1, -21, -37).

Negative numbers can be thought of as owing money or representing a depth below sea level.
They follow the same arithmetic rules as positive numbers but have different implications when combined with other numbers.

In the given problem, both -21 and 37 are involved. -21 is negative, and 37 is positive. Understanding how to handle negative numbers is crucial for performing accurate arithmetic operations.

Arithmetic Operations

Arithmetic operations include addition, subtraction, multiplication, and division.

When dealing with integers, the operations hold specific rules to ensure consistency.
Performing arithmetic with negative numbers involves understanding these rules to avoid mistakes.

In this problem, we perform subtraction, which is essentially adding a negative number.
When you subtract a larger number from a smaller number, the result is negative. To illustrate:-21 - 37 can be rewritten as -21 + (-37).
This conversion simplifies the arithmetic procedure and ensures clarity, making it easier to handle the numbers and prevent errors.

Subtraction Rules

Subtracting integers, especially when negative numbers are involved, has its own set of rules:

To subtract a number, you add its negative counterpart. For example, subtracting 37 is like adding -37.
If both numbers are negative, the operation involves summing their absolute values (but keeping the result negative).
Moving from left to right, follow the operation strictly to avoid sign errors.

In our problem: -21 - 37 = -21 + (-37) results in a combination of -21 and -37.
When combined, you add their absolute values, resulting in -58. This is because -21 + (-37) = -58. These steps are key to handling integer subtraction accurately, particularly in problems involving negative numbers.

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91影视

To find the difference between a and b, we subtract b from a. Subtract 37 from \(-21\)

Short Answer

Step by step solution

Understand the Problem

Set Up the Equation

Perform the Subtraction

Simplify the Expression

Write the Final Answer

Key Concepts

Negative Numbers

Arithmetic Operations

Subtraction Rules

One App. One Place for Learning.

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