Multiplication and Division of Signed Mumbers: Substituting parameters

$-a\cdot b=$

Replace and calculate if $a=-3\text{, }b=5$

First, we replace the data in the exercise

-(-3)*5 = 

To better understand the minus sign multiplied at the beginning, we will write it like this:

-1*-3*5 = 

Now we see that we have an exercise that is all multiplication,

We will solve according to the order of arithmetic operations, from left to right:

-1*-3 = 3

3*5 = 15

$15$

$2a+b=$

Replace and calculate if $a=10,b=-3$

Let's place the numbers in the formula:

$2\times10+(-3)=$

Let's remember the rule:

$+(-x)=-x$

Let's write the exercise in the appropriate form:

$2\times10-3=$

Let's solve the multiplication exercise:

$2\times10=20$

Now we get the exercise:

$20-3=$

Therefore, the answer is:

$17$

$17$

$-a\cdot(b+2)=$

Replace and calculate if $a=-5,\text{ }b=6$

Let's substitute the numbers into the formula:

$-(-5)\times(6+2)=$

Let's remember the rule:

$-(-x)=+x$

Let's write the exercise in the appropriate form:

$5\times(6+2)=$

Let's solve the expression in parentheses:

$6+2=8$

Now we get the exercise:

$5\times8=$

Therefore, the answer is:

$40$

$40$

$a\cdot b+b=$

Replace and calculate if $a=-3,b=-2$

Let's substitute the numbers into the formula:

$-3\times(-2)+(-2)=$

Let's remember the rule:

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

First, let's solve the multiplication problem:

$-3\times-2=6$

Now we get the expression:

$6+(-2)=$

Let's remember the rule:

$+(-x)=-x$

Let's write the expression in the appropriate form:

$6-2=$

Therefore, the answer is:

$4$

$4$

$b\cdot(a+4)=$

Replace and calculate if $a=-6,b=-2$

Let's substitute the numbers into the formula:

$-6\times(-2+4)=$

First, let's solve the expression in parentheses:

$-2+4=2$

Now we get the expression:

$-6\times2=$

Let's remember the rule:

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

Therefore, the answer is:

$-12$

$-12$

$a\cdot(a\cdot b+3)=$

Replace and calculate if $a=-1,b=5$

Let's substitute the numbers into the formula:

$-1\times(-1\times5+3)=$

Let's remember the rule:

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

Let's solve the expression in parentheses:

$(-1\times5+3)=$

$-1\times5=-5$

$-5+3=-2$

Now we get the expression:

$-1\times(-2)=$

Let's remember the rule:

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

Therefore, the answer is:

$2$

$2$

$a\cdot b+1=$

Replace and calculate if $a=2,b=-2$

Let's substitute the numbers into the formula:

$2\times(-2)+1=$

Let's remember the rule:

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

Let's solve the multiplication part first:

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

Now we get the expression:

$-4+1=$

Therefore, the answer is:

$-3$

$-3$

$a+b\cdot(a+1)=$

Replace and calculate if $a=2,b=-3$

Let's substitute the numbers into the formula:

$2+(-3)\times(2+1)=$

Let's remember the rule:

$+(-x)=-x$

Let's write the exercise in the appropriate form:

$2-3\times(2+1)=$

Let's solve the expression in parentheses:

$2+1=3$

Now we get the exercise:

$2-3\times3=$

Now let's solve the multiplication exercise:

$3\times3=9$

Now we get the exercise:

$2-9=$

Therefore, the answer is:

$-7$

$-7$

$-\frac{a}{b}$

Substitute the following into the expression above and solve.

1. $b=-4,a=8$

2. $b=4,a=-8$

$1,2=+2$

$\frac{-x}{-(-y)}$

Substitute the following into the equation above and calculate:

1. $y=-\frac{1}{3},x=4$

2. $y=+\frac{1}{3},x=-4$

$1,2=+12$

In front of you an algebraic expression:

$0:-\frac{m}{b}+c$

Replace and calculate

1. $m=3,b=409,c=8$

2. $m=-\frac{1}{205},b=-7,c=3004$

$1=8,2=3004$

In front of you an algebraic expression:

$a:(-b):c$

Replace and calculate

1. $a=3,\text{ }b=-9,\text{ }c=2$

2. $a=-4,\text{ }b=16,\text{ }c=3$

$1=+\frac{1}{6},2=+\frac{1}{12}$

In front of you an algebraic expression:

$-2m:(m+8):\frac{1}{m}$

Replace and calculate once $m=1$ and once again $m=-1$

$-\frac{2}{7},-\frac{2}{9}$

In front of you an algebraic expression:

$-\frac{x:y}{z}$

Replace and calculate

1. $x=y,z=-3$

2. $x=z,y=-4.4$

$1=+\frac{1}{3},2=+\frac{5}{22}$

In front of you an algebraic expression:

$\frac{m}{n}+3(-m)$

Replace and calculate

1. $m=3,n=-0.2$

2. $m=-4,n=-3$

$1=-24,2=+13\frac{1}{3}$

Look at the following algebraic expression:

$m:-3m+4$

Calculate when: $m=2$

Calculate when: $m=-\frac{1}{2}$

For each m the value of the expression will be $+3\frac{2}{3}$.