Solve Division Problem: (+24) ÷ (-0.4) with Sign Rules

Question

Solve the following problem:

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

Video Solution

Step-by-Step Solution

Given that we are dividing a positive number by a negative number, the result must 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 as follows:

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

Answer

60 -60