Problem 237 Simplify each expression. $$ ... [FREE SOLUTION]

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Chapter 1: Problem 237

Simplify each expression. $$ -45-(-54) $$

Short Answer

Expert verified

The simplified expression is 9.

Step by step solution

Identify the expression

The given expression is -45-(-54).

Apply the rule of subtracting a negative number

Recall that subtracting a negative number is the same as adding its positive counterpart: -45 - (-54) = -45 + 54.

Simplify the expression

Add the two numbers together: -45 + 54 = 9.

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Key Concepts

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

subtracting negative numbers

The problem involves subtracting a negative number. This can be tricky because it combines two operations: subtraction and dealing with negative signs. When you see two minus signs together, like in the problem $-45 - (-54)$, you should remember this important rule:

Subtracting a negative is the same as adding a positive.

Think of it as flipping a switch. The minus sign in front of the parenthesis 'flips' the negative number into a positive one. So, $-45 - (-54)$ becomes $-45 + 54$. This change makes the problem easier to solve!

integer operations

In algebra, you'll work with integer operations a lot. Integers include all whole numbers and their negative counterparts, like -1, -2, 0, 1, 2, etc. When performing operations with integers, you need to be mindful of their signs.
Here are some quick tips:

When adding two positive numbers, the result is positive. Example: 3 + 2 = 5.
When adding two negative numbers, the result is negative. Example: -3 + (-2) = -5.
When subtracting a positive number from a negative one, it鈥檚 like you鈥檙e adding a negative number. Example: -7 - 3 = -10.

In the given expression $-45 + 54$, you add 54 to -45. Since 54 is greater than 45, the result is 9.

basic algebra

Algebra often includes simplifying expressions like the one in this problem. Let's understand the simplification process more clearly:

First, always ask what operations are involved. In our example, it's subtraction and dealing with a negative number.
Second, apply any relevant rules. Here, we used the rule that subtracting a negative is like adding a positive.
Finally, perform the computation. Combining -45 and 54 is straightforward addition after we applied the rule, resulting in 9.

Mastering basic algebra involves understanding and remembering these rules. Always take it step by step, and soon, even tricky expressions will become a piece of cake!

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91影视

Simplify each expression. $$ -45-(-54) $$

Short Answer

Step by step solution

Identify the expression

Apply the rule of subtracting a negative number

Simplify the expression

Key Concepts

subtracting negative numbers

integer operations

basic algebra

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