Solve -4/-8 ÷ 0.7: Determining the Final Sign

Sign Rules with Division of Fractions

Will the result of the exercise below be positive (+) or negative (-)?

48:0.7 \frac{-4}{-8}:0.7

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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
00:10 Negative divided by negative always equals positive
00:19 Positive divided by positive always equals positive
00:22 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

Will the result of the exercise below be positive (+) or negative (-)?

48:0.7 \frac{-4}{-8}:0.7

2

Step-by-step solution

In this question, we only need to work out whether the resulting value is negative or positive.

In other words, the division exercise can be considered as follows:

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

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

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

This leaves us with:

+:+=+ +:+=+

Therefore, the result of the exercise will be positive.

3

Final Answer

+

Key Points to Remember

Essential concepts to master this topic
  • Rule: Negative divided by negative always gives positive result
  • Technique: Work left to right: 48=+0.5 \frac{-4}{-8} = +0.5 , then +0.5 ÷ 0.7 = +
  • Check: Count negatives: two negatives make positive, then positive ÷ positive = positive ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to simplify the fraction first
    Don't jump straight to dividing by 0.7 without simplifying 48 \frac{-4}{-8} = wrong sign tracking! This makes it harder to see that two negatives cancel out. Always simplify the fraction first to see it equals +0.5, then divide by the decimal.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( (+6)\cdot(+9)= \)

FAQ

Everything you need to know about this question

Why does negative divided by negative equal positive?

+

Think of division as "how many times does the divisor fit into the dividend?" When both numbers have the same sign (both negative), the result is always positive. It's like the rule: opposite signs attract, same signs repel!

Do I need to calculate the exact decimal answer?

+

No! The question only asks for the sign of the result. You just need to determine if it's positive (+) or negative (-), not the exact numerical value.

What if I get confused about the order of operations?

+

Work left to right for operations of the same priority. First solve 48 \frac{-4}{-8} , which gives you +0.5, then divide that result by 0.7.

How do I remember the sign rules quickly?

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Use this memory trick: "Same signs = positive, different signs = negative". Since both -4 and -8 are negative (same signs), their division gives a positive result!

What happens when I divide a positive by a positive?

+

Positive ÷ positive always equals positive. In this problem, after getting +0.5 from the fraction, you're dividing +0.5 ÷ +0.7, which stays positive.

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