Multiplication and Division of Signed Mumbers: Determine the resulting sign from the exercise

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

It's important to remember: when we multiply a negative by a negative, the result is positive!

You can use this guide:

Positive

Will the result of the exercise below be positive or negative?

$5\cdot(-\frac{1}{2})=$

Let's remember the rule:

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

Therefore, the sign of the exercise result will be negative:

$+5\times-\frac{1}{2}=-2\frac{1}{2}$

Negative

What will be the sign of the result of the next exercise?

$(-4)\cdot12=$

Let's remember the rule:

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

Therefore, the sign of the exercise result will be negative:

$-4\times+12=-48$

Negative

What will be the sign of the result of the next exercise?

$(-6)\cdot5=$

Remember the law:

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

For the sum of the angles of a triangle is always:

$-6\times+5=-30$

Negative

What will be the sign of the result of the next exercise?

$2\cdot(-2)=$

To solve the exercise you need to remember an important rule: Multiplying a positive number by a negative number results in a negative number.

$(−)×(+)=(−)$
Therefore, if we multiply negative 2 by 2 the result will be negative 4.

That is, the result is negative.

$+2\times-2=-4$

Negative

What will be the sign of the result of the next exercise?

$(-3)\cdot(-4)=$

Let's remember the rule:

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

Therefore, the sign of the exercise result will be positive:

$-3\times-4=+12$

Positive

What will be the sign of the result of the next exercise?

$(-2)\cdot(-\frac{1}{2})=$

Let's recall the law:

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

Therefore, the sign of the exercise result will be positive:

$-2\times-\frac{1}{2}=+1$

Positive

What will be the sign of the result of the next exercise?

$6\cdot3=$

Let's remember the rule:

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

Therefore, the sign of the exercise result will be positive:

$+6\times+3=+18$

Positive

What will be the sign of the result of the exercise?

$(+3\frac{1}{4}):(+\frac{2}{5})$

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

$+:+=$

Since we are dividing a positive number by a positive number, our result will necessarily be positive.

+

What will be the sign of the result of the exercise?

$(+7.5):(+3)$

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

$+:+=$

Since we are dividing a positive number by a positive number, the result will necessarily be a positive number.

+

What will be the sign of the result of the exercise?

$0:(-\frac{1}{8})$

Let's remember the rule that anything we divide by zero will give us a result of zero:

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

$0:x=0$$$

Therefore, the answer is zero.

0

What will be the sign of the result of the exercise?

$24:-8:12.4$

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

$+:-:+=$

If we solve the exercise from left to right, we will first divide plus by minus:

$+:-=-$

Now the remaining exercise is:

$-:+=-$

Therefore, the sign of the exercise result will be negative.

-

What will be the sign of the result of the exercise?

$-\frac{9}{4}\cdot\frac{1}{2}\cdot\frac{10}{3}$

We will look only at whether the fraction is negative or positive.

In other words, the multiplication exercise looks like this:

$-\times+\times+=$

If we solve the exercise from left to right, we'll first multiply minus by plus:

$-\times+=-$

Now the remaining exercise is:

$-\times+=-$

Therefore, the sign of the exercise result will be negative.

-

What will be the sign of the result of the exercise?

$\frac{-4}{-0.4}:-1.7$

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

$\frac{-}{-}:-=$

If we solve the exercise from left to right, we will first divide the numerator of the negative fraction by the denominator of the negative fraction.

Therefore, the resulting fraction will be positive:

$\frac{-}{-}=+$

Now the remaining exercise will look like this:

$+:-=-$

Therefore, the sign of the exercise result will be negative.

-

What will be the sign of the result of the exercise?

$(-14):(+8)$

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

$-:+=$

Since we are dividing a negative number by a positive number, the result will necessarily be a negative number.

-

What will be the sign of the result of the exercise?

$\frac{-0.9}{1.1}:(-4)$

Let's see if the number is negative or positive.

As you can see, in the expression the numerator is negative and the denominator is positive.

That is, the division exercise will look like this:

$\frac{-}{+}:-=$

The result of the expression will be a negative number, since we are dividing a negative number by a positive number.

Therefore, the exercise that will be obtained will look like this:

$-:-=+$

Therefore, the sign of the result of the exercise will be negative.

+

What will be the sign of the result of the exercise?

$\frac{-4}{-8}:0.7$

We will look only at whether the number is negative or positive.

In other words, the division exercise looks like this:

$\frac{-}{-}:+=$

If we solve the exercise from left to right, we first divide the numerator of the negative fraction by the denominator of the negative fraction:

$\frac{-}{-}=+$

Now the remaining exercise is:

$+:+=+$

Therefore, the sign of the result of the exercise will be positive.

+

What will be the sign of the result of the exercise?

$(-7):(-\frac{3}{5})$

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

$-:-=$

Since we are dividing a negative number by a negative number, the result will necessarily be a positive number.

+

What will be the sign of the result of the next exercise?

$(-16)\cdot(-5)=$

Positive

What will be the sign of the result of the next exercise?

$\frac{1}{4}\cdot\frac{1}{2}=$

Positive