Problem 94 $$ -0.6-0.8 $$... [FREE SOLUTION]

91影视

Elementary Algebra

Laura Bracken, Ed Miller

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 0: Problem 94

$$ -0.6-0.8 $$

Short Answer

Expert verified

-1.4

Step by step solution

Identify the Numbers

Recognize the numbers involved in the subtraction. Here, the two numbers are -0.6 and -0.8.

Apply the Subtraction Rule for Negative Numbers

Remember that subtracting a negative number is the same as adding its absolute value. The operation is: -0.6 - 0.8 = -0.6 + (-0.8).

Add the Numbers

Add the numbers as if both were positive and then apply the negative sign: 0.6 + 0.8 = 1.4 Therefore, -0.6 + (-0.8) = -1.4.

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Key Concepts

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

absolute value

Understanding absolute value helps make sense of operations with negative numbers. The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of both 7 and -7 is 7. It is symbolized as $|a|$, where $|-0.6| = 0.6$ and $|-0.8| = 0.8$. Absolute values turn negative numbers into positive ones.

negative numbers

Negative numbers are numbers less than zero and are represented with a minus sign. In subtraction, we treat negative numbers differently:
When subtracting two negative numbers, it's like adding their absolute values but sticking to their original signs. For instance, $-0.6 - 0.8$ becomes $-0.6 + (-0.8)$. This can be challenging but is crucial for accurate calculations.
Remember: Two negative signs make a positive in multiplication or division, but in addition or subtraction, they emphasize the negativity.

addition of decimals

Adding decimals involves lining up the decimal points and adding as if they were whole numbers. For example, to add $-0.6$ and $-0.8$, we first ignore the negative signs and add $\text{0.6}$ and $\text{0.8}$ normally:

6 + 8 = 14 (write down 4, carry over 1).
0 + 0 (plus the carry over 1) = 1.
So, 0.6 + 0.8 = 1.4.

Now, reapply the negative sign to get $-1.4$.
Note: Always realign and finalize decimal places after computing.

basic arithmetic operations

Basic arithmetic operations form the foundation of math. Four main operations exist: addition (+), subtraction (-), multiplication (脳), and division (梅).
In our example, we showed how subtraction of negative decimals works. These principles apply broadly:

Addition: Combining two numbers (e.g., 4 + 5 = 9).
Subtraction: Finding the difference between two numbers (e.g., 5 - 3 = 2).
Multiplication: Repeated addition of a number (e.g., 3 脳 4 = 12).
Division: Splitting a number into equal parts (e.g., 12 梅 3 = 4).

Consistent practice reinforces understanding and proficiency in performing these operations.

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91影视

$$ -0.6-0.8 $$

Short Answer

Step by step solution

Identify the Numbers

Apply the Subtraction Rule for Negative Numbers

Add the Numbers

Key Concepts

absolute value

negative numbers

addition of decimals

basic arithmetic operations

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