Multiplication and Division of Signed Mumbers: Complete the following equation using the appropriate signs

Note that we are dividing a negative number by a positive number:

$-:+=-$

Therefore, the exercise is:

$-?0$

Since we have a negative number, it is necessarily less than zero.

Therefore, the answer is:

- < 0

Note that we are dividing a negative number by a negative number, therefore:

$-:-=+$

This means the final exercise looks like this:

$+?0$

Since we got a positive number, it must be greater than zero.

The answer is:

+ > 0

First let's solve the exercise on the left-hand side:

$\frac{0}{-412.5}=$

Here we must remember the formula:

$\frac{0}{x}=0$

In other words, when we divide 0 by any number, the result will always be 0.

Now we have:

$0\text{?}0$

Therefore, the answer is:

$0=0$

Note that in the first step we are dividing a positive number by a negative number:

$+:-=-$

Therefore, we the exercise is:

$-:-?0$

Now we are dividing a negative number by a negative number, that is:

$-:-=+$

Therefore, the final exercise will look like this:

$+?0$

Since we have a positive number, it is greater than zero.

Therefore, the answer is:

+ > 0

Let's solve the exercise from left to right:

$\frac{0}{15}=$

Let's remember the formula:

$\frac{0}{x}=0$

In other words, if we divide zero by any number, the result will always be zero.

Now we have received the exercise:

$0:-16?0$

Let's solve the exercise:

$\frac{0}{-16}=$

We'll remember the formula we wrote earlier, and we can see that the result is zero.

So the final exercise will look like this:

$0\text{?}0$

Therefore, the appropriate sign is:

$0=0$

Let's first turn our attention to the exercise on the left hand side :

$\frac{-12\frac{1}{8}}{0}=$

Remembering the below formula:

$\frac{x}{0}$

Since no number can be divided by 0 we are able to ascertain that the expression has no meaning.

We must first consider which value when multiplied by a negative results in a negative number.

Let's remember the rule:

$(-x)\times(+x)=-x$

Therefore, the answer is as follows:

$+3$

Let's consider what we would need to multiply by a positive in order to obtain a negative number.

Let's remember the rule:

$(+x)\times(-x)=-x$

Therefore, the answer will be:

$-3$

We must first consider what we need to multiply by a negative in order to obtain a positive number.

Let's remember the rule:

$(-x)\times(-x)=+x$

Therefore, the answer is as follows:

$-3$

Note that in the first step we are dividing a negative number by a negative number:

$-:-=+$

This means that the exercise can be written as follows:

$+:-?0$

Now we are dividing a positive number by a negative number:

$+:-=-$

Therefore, the final exercise will look like this:

$-?0$

We are left with a negative number, meaning a number less than zero.

Therefore, the answer is:

- < 0

Note that in the first stage we are dividing a positive number by a negative number:

$+:-=-$

Now the exercise is:

$-:a?0$

Since we don't know whether a is a positive or negative number, we cannot determine the sign.

We must first consider what value we need to multiply by a negative number in order to obtain a positive number.

Let's remember the rule:

$(-x)\times(-x)=+x$

Therefore, the answer is:

$-4$

We should first consider which value we need to multiply a negative number by in order to get a positive number.

Let's remember the rule:

$(-x)\times(-x)=+x$

Therefore, the answer is:

$-5$