Examples with solutions for Multiplication and Division of Signed Mumbers: Dividing numbers with different signs

Exercise #1

(+10):(5)= (+10):(-5)=

Video Solution

Step-by-Step Solution

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

+:= +:-=-

Therefore:

(10:5)=2 -(10:5)=-2

Answer

2 -2

Exercise #2

(+24):(0.4)= (+24):(-0.4)=

Video Solution

Step-by-Step Solution

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

+:= +:-=-

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

0.4=410 0.4=\frac{4}{10}

Now we have the problem:

(24:410)= -(24:\frac{4}{10})=

Let's convert the division to multiplication, remembering to switch the numerator and denominator:

(24×104)= -(24\times\frac{10}{4})=

We'll simplify by 4 and get:

(6×10)=6×10=60 -(6\times10)=-6\times10=-60

Answer

60 -60

Exercise #3

(+3):(0.05)= (+3):(-0.05)=

Video Solution

Step-by-Step Solution

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

+:= +:-=-

First, let's convert 0.05 to a simple fraction:

0.05=5100 -0.05=-\frac{5}{100}

Now we have the problem:

(3:5100)= -(3:\frac{5}{100})=

Let's convert the division to multiplication, remembering to switch the numerator and denominator:

(3×1005)= -(3\times\frac{100}{5})=

Let's continue solving the fraction problem:

(3×20)=60 -(3\times20)=-60

Answer

60 -60

Exercise #4

(+0.9):(0.15)= (+0.9):(-0.15)=

Video Solution

Step-by-Step Solution

Since we are dividing a positive number by a negative number, the result must be a negative number:

+:= +:-=-

First, let's convert the numbers in the exercise to simple fractions:

0.9=910 0.9=-\frac{9}{10}

0.15=15100 0.15=\frac{15}{100}

Now we have the exercise:

(910:15100)= -(\frac{9}{10}:\frac{15}{100})=

Let's convert the division to multiplication, don't forget to switch between numerator and denominator:

(910×10015)= -(\frac{9}{10}\times\frac{100}{15})=

Let's reduce by 10 and get:

(9×1015)= -(9\times\frac{10}{15})=

Let's combine into one exercise:

(9×1015)=9015 -(\frac{9\times10}{15})=-\frac{90}{15}

Let's break down 90 into a multiplication exercise:

3×3015= -\frac{3\times30}{15}=

Let's reduce the numerator and denominator by 15 and get:

3×2=6 -3\times2=-6

Answer

6 -6