Determine the Sign: Solving -4/-0.4 ÷ -1.7 Step by Step

What will be the sign of the result?

40.4:1.7 \frac{-4}{-0.4}:-1.7

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the result sign
00:03 Let's find the sign of each number
00:09 Negative divided by negative always equals positive
00:16 Positive divided by negative always equals negative
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What will be the sign of the result?

40.4:1.7 \frac{-4}{-0.4}:-1.7

2

Step-by-step solution

In this question, we only need to know whether the resulting number is negative or positive.

In that case, we can rewrite the division exercise as follows:

:= \frac{-}{-}:-=

If we solve the exercise from left to right, we will first divide the numerator of the negative fraction by the denominator of the negative fraction.

Therefore, the resulting fraction will be positive:

=+ \frac{-}{-}=+

Now the remaining exercise will look like this:

+:= +:-=-

Therefore, the sign of the result will be negative.

3

Final Answer

-

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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