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

Solve the following problem:

(+24):(−0.4)= (+24):(-0.4)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:05 Positive divided by negative is always negative
00:16 Convert from decimal to fraction
00:23 Write division as multiplication by reciprocal
00:27 Switch between numerator and denominator
00:34 Make sure to multiply numerator by numerator and denominator by denominator
00:40 Divide 24 by 4
00:45 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

Solve the following problem:

(+24):(−0.4)= (+24):(-0.4)=

2

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

3

Final Answer

−60 -60

Practice Quiz

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

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

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