Problem 251 Simplify each expression. $$ ... [FREE SOLUTION]

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Chapter 1: Problem 251

Simplify each expression. $$ 6.3-4.3-7.2 $$

Short Answer

Expert verified

-5.2

Step by step solution

Identify the expression

The given expression is: 6.3 - 4.3 - 7.2.

Perform the first subtraction

First, subtract 4.3 from 6.3: 6.3 - 4.3 = 2.0.

Perform the second subtraction

Next, subtract 7.2 from the result of the first subtraction: 2.0 - 7.2 = -5.2.

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Key Concepts

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

Subtraction in Algebra

Subtraction in algebra might seem straightforward, but it鈥檚 important to carefully follow each step to avoid mistakes. To subtract numbers or terms, remove the second quantity from the first.
For example, in the expression given, we have to perform two subtraction operations: 6.3 - 4.3 - 7.2.
We start by subtracting 4.3 from 6.3. This gives us 2.0.
Next, we subtract 7.2 from this result.
When performing subtraction:

First, line up your decimal points or the terms if you鈥檙e handling variables.
Subtract the smaller number or term from the bigger one.
If working with negative numbers, keep track of your signs.

The result of 2.0 - 7.2 is -5.2, illustrating how subtraction can lead to negative results.

Order of Operations

The order of operations is essential in algebra to solve expressions correctly. The common mnemonic is PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.
Subtraction and addition are performed from left to right. In our exercise, 6.3 - 4.3 - 7.2, we handle subtraction in the sequence they appear from left to right.
First, solve 6.3 - 4.3, which equals 2.0. Then, subtract 7.2 from 2.0.
Correctly applying the order ensures methodical and accurate results.

Always move from left to right for addition and subtraction.
Check each step to avoid errors.

This maintains clarity and correctness in your work.

Negative Numbers

Negative numbers represent values less than zero and can be daunting in algebra.
When subtracting, you might end up with negative results. For instance, in the final step, 2.0 - 7.2 results in -5.2 because 7.2 is larger than 2.0.
Remember:

Subtracting a larger number from a smaller number results in a negative number.
Negative numbers are written with a minus (-) sign before them.
Negative results can be surprising, but following the rules ensures you鈥檙e correct.

The key is to keep track of your signs and consistently apply basic rules. Hence, the final answer in our exercise is -5.2.

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91影视

Simplify each expression. $$ 6.3-4.3-7.2 $$

Short Answer

Step by step solution

Identify the expression

Perform the first subtraction

Perform the second subtraction

Key Concepts

Subtraction in Algebra

Order of Operations

Negative Numbers

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