Multiplication and Division of Signed Mumbers - Examples, Exercises and Solutions

Due to the fact that we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

Therefore:

$-(4:1)=-4$

Due to the fact that we are multiplying a positive number by a negative number, the result must be a negative number:

$+\times-=-$

Therefore:

$+9\times-4=-36$

Due to the fact that we are multiplying two positive numbers the result will also be positive:

$+\times+=+$

We obtain the following:

$+6\times+9=+54=54$

Due to the fact that we are multiplying two positive numbers together, the result will inevitably be positive:

$+\times+=+$

We obtain the following result:

$+5\times+5=+25=25$

First, let's convert 0.4 to a simple fraction:

$0.4=\frac{4}{10}$

Let's now convert 3 into a simple fraction:

$3=\frac{3}{1}$

Now the exercise we have is:

$\frac{4}{10}:\frac{3}{1}=$

Next, let's convert the division exercise into a multiplication exercise, remembering to switch the numerator and denominator in the second fraction:

$\frac{4}{10}\times\frac{1}{3}=$

Let's now combine everything into one multiplication exercise:

$\frac{4\times1}{10\times3}=\frac{4}{30}$

We can now break down the numerator and denominator into multiplication exercises:

$\frac{2\times2}{15\times2}=$

Finally, we reduce the 2 in the numerator and denominator to get:

$\frac{2}{15}$

First, let's rewrite the exercise in the form of a simple fraction:

$\frac{-19}{-76}=$

Since we have negative numbers in both the numerator and denominator of the fraction, the result of the fraction must be positive.

Now let's break down the 76 into a multiplication exercise:

$\frac{19}{19\times4}=$

We can then cancel out the 19s in the numerator and denominator of the fraction and get:

$+4$

First, let's rewrite the expression in the form of a simple fraction:

$\frac{-312}{0}=$

Since it is not possible to divide a number by 0, the expression is invalid.

First, let's write the exercise in the form of a simple fraction:

$\frac{24}{8}=$

Next we'll factor 24 into a multiplication exercise:

$\frac{3\times8}{8}=$

Finally we cancel out the 8 in both the numerator and denominator of the fraction to get:

$\frac{3}{1}=3$

First, let's write the exercise in the form of a simple fraction:

$\frac{-35}{-7}=$

Now let's factor 35 in the numerator:

$\frac{-7\times5}{-7}=$

Since we have negative numbers in the numerator and denominator of the fraction, the result of the fraction must be positive.

Let's simplify between the 7 in the numerator and denominator of the fraction, and we obtain the following:

$+5$

First let's write the exercise in the form of a simple fraction:

$\frac{5}{30}$

Next, we'll break down the 30 into a multiplication operation:

$\frac{5}{5\times6}=$

Finally, cancel out the 5 in both the numerator and denominator of the fraction, leaving us with:

$\frac{1}{6}$

First, let's write the expression in the form of a simple fraction:

$\frac{14}{0}$

Since it is not possible to divide a number by 0, the expression is invalid.

First let's write the expression in the form of a simple fraction:

$\frac{-\frac{4}{7}}{0}$

Since it is not possible to divide a number by 0, the expression is invalid.

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

$\frac{118}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{118}{1}=118$

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

$\frac{3.8}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{3.8}{1}=3.8$

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

$\frac{42}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{42}{1}=42$