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

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

$+\times+=+$

We obtain the following:

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

Note that we are multiplying two positive numbers, so the result will necessarily be positive:

$+\times+=+$

We get:

$+9\times+4=+36=36$

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

$+\times+=+$

We obtain the following result:

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

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

$+:-=-$

Therefore:

$-(4:1)=-4$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+12:+6=+2$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+9:+9=+1$

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

$+\times-=-$

Therefore:

$+9\times-4=-36$

Since we are multiplying two positive numbers, the result will necessarily be positive.

$+\times+=+$

Therefore:

$+10\times+3=+30$

Let's begin by breaking down 5.4 into a subtraction exercise as follows:

$-5.4=-5-0.4$

Now let's convert the exercise into a subtraction operation with fractions:

$-5-\frac{4}{10}=-5\times\frac{10}{10}-\frac{4}{10}=-\frac{50}{10}-\frac{4}{10}$

Let's proceed to combine the subtraction exercise between the fractions into one fraction:

$\frac{-50-4}{10}=-\frac{54}{10}$

Let's write the second decimal fraction as a simple fraction:

$-0.9=-\frac{9}{10}$

Below is the resulting exercise:

$-\frac{54}{10}:-\frac{9}{10}=$

Let's convert the division exercise into a multiplication exercise not forgetting to switch between the numerator and denominator in the second fraction:

$-\frac{54}{10}\times-\frac{10}{9}=$

Finally let's reduce the 10 in both fractions and we should obtain the following:

$+\frac{54}{9}=6$

Let's convert 66.6 into a simple fraction:

$-66.6\times\frac{10}{10}=-\frac{666}{10}$

Let's then convert 0.6 into a simple fraction:

$-0.6=-\frac{6}{10}$

Now the exercise we have is:

$-\frac{666}{10}:-\frac{6}{10}=$

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

$-\frac{666}{10}\times-\frac{10}{6}=$

Let's now reduce the 10 in both fractions to get:

$+\frac{666}{6}=$

next, we'll factor 666 into a multiplication exercise:

$\frac{6\times111}{6}=$

Finally, we reduce the 6 in the numerator and denominator of the fraction to get:

$+111$

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:

$+5$

Let's convert 1.8 to a simple fraction:

$-1.8=-\frac{18}{10}$

Let's convert 0.09 to a simple fraction:

$-0.09=-\frac{9}{100}$

Let's multiply the first fraction we got by 10 to get a common denominator of 100:

$-\frac{18}{10}\times\frac{10}{10}=-\frac{180}{100}$

Now the exercise we got is:

$-\frac{180}{100}:-\frac{9}{100}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:

$-\frac{180}{100}\times-\frac{100}{9}=$

Let's reduce the 100 in both fractions and we get:

$+\frac{180}{9}=$

Let's break down 180 into a multiplication exercise:

$\frac{9\times20}{9}=$

Let's reduce the 9 in both the numerator and denominator of the fraction and we get:

$+20$

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:

$+4$

Let's begin by converting 5.8 into a simple fraction:

$-5.8=-\frac{58}{10}$

Let's proceed to convert 3.4 into a simple fraction:

$-3.4=-\frac{34}{10}$

Below is the resulting exercise

$-\frac{58}{10}:-\frac{34}{10}=$

Let's now convert the division exercise into a multiplication exercise, not forgetting to swap the numerator and denominator in the second fraction:

$-\frac{58}{10}\times-\frac{10}{34}=$

Let's reduce the 10 in both fractions in order to obtain the following:

$+\frac{58}{34}=$

Let's now break down the numerator and denominator into multiplication exercises:

$\frac{2\times29}{2\times17}=$

Finally let's reduce the 2 in both the numerator and denominator of the fraction and we should obtain:

$\frac{29}{17}$

Let's begin by converting 1.4 into a simple fraction:

$-1.4=-\frac{14}{10}$

Let's now convert 7 into a simple fraction:

$-7=-\frac{7}{1}$

The resulting exercise is as follows:

$-\frac{14}{10}:-\frac{7}{1}=$

Let's proceed to convert the division exercise into a multiplication exercise, not forgetting to swap the numerator and denominator in the second fraction:

$-\frac{14}{10}\times-\frac{1}{7}=$

Let's now combine into one multiplication exercise:

$+\frac{14\times1}{10\times7}=\frac{14}{10\times7}=$

Let's proceed to break down 14 into a multiplication exercise:

$\frac{2\times7}{10\times7}=$

Next let's reduce the 7 in both the numerator and denominator obtaining the following:

$\frac{2}{10}=$

Let's proceed to break down the 10 into a multiplication exercise:

$\frac{2}{2\times5}=$

Finally let's reduce the 2 in both the numerator and denominator to obtain the following solution:

$5$