Solve Division Problem: (+3) ÷ (-0.05) with Signed Numbers

(+3):(0.05)= ? (+3):(-0.05)=\text{ ?}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Positive divided by negative is always negative
00:16 Convert from decimal to fraction
00:20 Write division as multiplication by reciprocal
00:25 Switch between numerator and denominator
00:30 Calculate the quotient
00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(+3):(0.05)= ? (+3):(-0.05)=\text{ ?}

2

Step-by-step solution

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

+:= +:-=-

Next, let's convert 0.05 into a simple fraction:

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

We are left with:

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

Then let's convert the division into multiplication, remembering to switch the numerator and denominator:

(3×1005)= -(3\times\frac{100}{5})=

Finally we can continue solving to find the answer:

(3×20)=60 -(3\times20)=-60

3

Final Answer

60 -60

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations