Basic Definitions: Finding the opposite number

To solve this problem, we'll follow these steps:

• Step 1: Identify the given number
• Step 2: Apply the definition of an opposite number
• Step 3: Conclude with the opposite number

Now, let's work through each step with detailed explanations:
Step 1: We are given the number $87$. This is a positive integer.
Step 2: The definition of an opposite number states that the opposite of any number $x$ is $-x$. Here, $x = 87$.
Step 3: Using the definition, the opposite number of $87$ is calculated as $-87$.

Therefore, the solution to the problem is $-87$.

To determine the opposite number of $0.7$, we will simply change its sign, following these steps:

• Step 1: Identify the given number, which is $0.7$.
• Step 2: Change the sign of $0.7$ to find its opposite. Since $0.7$ is positive, its opposite will be negative.

By changing the sign of $0.7$, we get $-0.7$. Therefore, the opposite number of $0.7$ is $-0.7$.

In conclusion, the solution to the problem is $-0.7$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given number.
• Step 2: Find its opposite by changing the sign.

Now, let's work through each step:
Step 1: The problem gives us the number $5$.
Step 2: The opposite of a positive number is the same number with a negative sign.
Thus, the opposite of $5$ is $-5$.

Therefore, the opposite number of $5$ is $-5$.

To solve the problem of finding the opposite number of $-7$, we will use the concept of opposite numbers:

• Step 1: Identify the given number, which is $-7$.
• Step 2: Determine the opposite number by changing the sign. The opposite of $-7$ is calculated as follows:

The opposite of a negative number is its positive counterpart. So, the opposite of $-7$ is $7$.

Therefore, the answer is $7$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given number, which is $-0.25$.
• Step 2: Apply the concept of finding the opposite by changing the sign.
• Step 3: Since the given number is $-0.25$, the opposite number will be $-(-0.25) = 0.25$.

Therefore, the opposite number of $-0.25$ is $0.25$.

To determine the opposite number of $-\frac{8}{7}$, we need to understand what the opposite of a number means in mathematics.

The opposite of a number is simply a number with the same magnitude but the opposite sign. For any real number $a$, its opposite is $-a$. When $a$ is already negative, its opposite is positive.

Given the number $-\frac{8}{7}$, we will apply the following steps:

• Identify the sign and magnitude: The given number is $-\frac{8}{7}$, a negative fraction.
• Apply sign change: The opposite is simply the positive version of $-\frac{8}{7}$, which is $\frac{8}{7}$.

Thus, the opposite of $-\frac{8}{7}$ is $\frac{8}{7}$.

Therefore, the correct answer is $\frac{8}{7}$.