Problem 33 Simplify. $$|3.4(-2)|-9.8$$... [FREE SOLUTION]

Chapter 3: Problem 33

Simplify. $$|3.4(-2)|-9.8$$

Short Answer

Expert verified

-3

Step by step solution

Calculate Absolute Value

First, calculate the absolute value of $3.4 \times -2$. This can be done by multiplying 3.4 by -2 to give -6.8. The absolute value of -6.8 is 6.8.

Execute the Subtraction

Next, subtract 9.8 from 6.8. This can be done as $6.8 - 9.8 = -3$.

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Key Concepts

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

Simplifying Expressions

Simplifying expressions is an essential part of working with mathematical problems. It involves reducing expressions to their simplest form while preserving their value. In the context of this exercise, simplifying began with calculating the absolute value. This step involves transforming a complex expression into a smaller or more digestible part.

Start by addressing any parentheses or absolute value expressions. These operations are done before dealing with other arithmetic operations.
Look for ways to combine like terms in algebraic expressions.
Apply rules such as distributive properties when necessary.

In this exercise, simplifying started by finding the absolute value of a multiplication result, which then led to a subtraction step, further breaking down to a single number.

Subtraction

Subtraction is one of the four basic arithmetic operations. It's used to find the difference between two numbers or quantities. In our problem, we used subtraction in the final step to simplify the entire expression.

Identify the two numbers or quantities you need to subtract (in this case, 6.8 and 9.8).
Subtract the second value from the first: from 6.8, remove 9.8.
If the result is negative, it means the number being subtracted is greater than the starting number.

For example, subtracting 9.8 from 6.8 resulted in -3 because 9.8 is larger than 6.8. This can often confuse students, but remembering that subtraction means removing or taking away can help clarify the result.

Multiplication

Before diving into the subtraction part of this expression, multiplication occurred when solving the absolute value. Multiplication is the mathematical operation of scaling one number by another. It's a case of repeated addition.

Begin by identifying the numbers you're multiplying (in this example, 3.4 and -2).
Multiply the numbers directly: 3.4 times -2 equals -6.8.
Note that multiplying a positive number by a negative one gives a negative result.

Multiplication in this problem helped us reach a crucial part of the expression simplification. Understanding this fundamental element is key to simplifying expressions successfully.

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91影视

Simplify. $$|3.4(-2)|-9.8$$

Short Answer

Step by step solution

Calculate Absolute Value

Execute the Subtraction

Key Concepts

Simplifying Expressions

Subtraction

Multiplication

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