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

Let's remember the rule:

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

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

$+1\times-1=-1$

Let's recall the law:

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

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

$-7\times+1=-7$

Let's remember the rule:

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

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

$-16\times+1=-16$

Let's recall the law:

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

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

$-1\times+3=-3$

Let's recall the law:

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

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

$-2\times+1=-2$

Let's remember the rule:

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

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

$+2\times+1=+2$

Let's remember the rule:

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

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

$-10\times-1=+10$

Let's recall the rule:

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

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

$-3\times-1=+3$

Let's recall the law:

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

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

$+6\times+1=+6$

Let's recall the rule:

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

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

$-4\times-1=+4$

Let's break down 5.4 into a subtraction exercise as follows:

$-5.4=-5-0.4$

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

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

Let's 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:

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

Now the exercise we got is:

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

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

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

Let's reduce the 10 in both fractions and we get:

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

Let's convert 66.6 to a simple fraction:

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

Let's convert 0.6 to a simple fraction:

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

Now the exercise we received is:

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

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

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

Let's reduce the 10 in both fractions and we get:

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

Let's factor 666 into a multiplication exercise:

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

Let's reduce the 6 in the numerator and denominator of the fraction and we 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 will necessarily be positive.

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

$+5$

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 write 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 will necessarily be positive.

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

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

We'll reduce between the 9 in the numerator and denominator of the fraction and get:

$+4$