Positive and negative numbers and zero - Examples, Exercises and Solutions

Let's begin by marking F and 0 on the number line

We can thus determine that:

$F=0$

Therefore, the distance is 0 steps.

We first mark the letter C on the number line and then proceed towards the letter H:

Note that the distance between the two letters is 5 steps.

One might think that as a consequence of the displacement on the axis being towards the negative domain, the result is also negative.

However it is important to keep in mind that here we are referring to the distance.

Distance can never be negative.

Even if the displacement is towards the negative domain, the distance is an existing value.

We first mark the letter D on the number line and then proceed towards the letter K:

Note that the distance between the two letters is 7 steps.

Let's begin by marking the letter J on the number line and then proceeding towards the letter D:

Note that the distance between the two letters is 6 steps

One might think that because there are numbers on the axis that go into the negative domain, that the result must also negative.

However it is important to keep in mind that here we are asking about distance.

Distance can never be negative.

Even if we move towards or from the domain of negativity, distance is an existing value (absolute value).

We can think of it as if we were counting the number of steps, and it doesn't matter if we start from five or minus five, both are 5 steps away from zero.

We first mark the letter I on the number line and then proceed towards the letter E:

Note that the distance between the two letters is 4 steps.

Let's begin by marking the letter D on the number line and then proceeding towards the letter I:

Note that the distance between the two letters is 5 steps

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: 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 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 $7$.

As per the fact that there cannot be a situation where a negative number is greater than a positive number, the answer is incorrect.

Since every negative number is necessarily less than zero, the answer is indeed correct

The answer is incorrect because a negative number cannot be greater than a positive number:

4\frac{1}{2} > -5