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

Question

(+3):(0.05)= ? (+3):(-0.05)=\text{ ?}

Video Solution

Solution Steps

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 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

Answer

60 -60