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Chapter 10: Problem 67

Find the opposite. (Change the sign.) $$ -\frac{3}{8} $$

Short Answer

Expert verified
\(\frac{3}{8}\)

Step by step solution

01

Identify the Given Number

The given number is \(-\frac{3}{8}\).
02

Understand Opposite Numbers

Opposite numbers have the same absolute value but different signs. To find the opposite of \(-\frac{3}{8}\), you need to change its sign.
03

Change the Sign

To change the sign of \(-\frac{3}{8}\), make it positive. The opposite of \-\frac{3}{8}\ is \frac{3}{8}\.

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Key Concepts

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

Fractions
Fractions represent parts of a whole. They consist of two main components: the numerator (top part) and the denominator (bottom part). For instance, in \(\frac{3}{8}\), 3 is the numerator, and 8 is the denominator.

Fractions can be positive or negative. A negative fraction has a negative sign in front of it, like \(-\frac{3}{8}\). Changing the sign of a fraction involves making it positive if it was negative, or negative if it was positive.
Absolute Value
The absolute value of a number is its distance from zero on the number line, regardless of direction. The absolute value is always non-negative.

For example, the absolute value of both \(\frac{3}{8}\) and \(-\frac{3}{8}\) is simply \(\frac{3}{8}\).
To denote the absolute value of a number, we use vertical bars. Thus, \[|- \frac{3}{8} | = \frac{3}{8} \].
Sign Change
Changing the sign of a number means making a positive number negative and vice versa. This is particularly useful when finding the opposite of a number.

For our example, the given number is \(-\frac{3}{8}\). Its opposite number is found by changing the sign from negative to positive, resulting in \(\frac{3}{8}\).
Remember, the opposite numbers have the same absolute value but different signs.

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Most popular questions from this chapter

Divide. $$ \frac{-17.8}{3.2} $$

Subtract and simplify. \(6 \frac{1}{2}-2 \frac{3}{10}\)

Simplify. $$ 9 \div(-3)+16 \div 8 $$

Simplify. $$ -1000 \div(-100) \div 10 $$

Multiply. \(-6.3 \times 2.7\)
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