Determine the Division Sign: Solving -2:-1947:? > 0

Q: Why does negative divided by negative equal positive?

Think of division as "how many groups". When you divide negative by negative, you're asking how many negative groups fit into a negative amount. The answer is always positive!

Q: How do I handle multiple divisions in a row?

Work left to right following order of operations. First solve $ -2 ÷ (-1947) $, then divide that result by the unknown number.

Q: What does the > 0 condition tell me?

The condition > 0 means your final answer must be positive. This helps you determine whether the missing number should be positive or negative.

Q: Can the missing number be negative?

No! Since we need a positive result and we already have a positive number from the first division, the missing number must be positive too.

Q: How do I verify my answer works?

Substitute your chosen number and calculate: $ (-2) ÷ (-1947) ÷ (+3.3) $. If the result is positive, you're correct!

Division Sign Rules with Multiple Operations

Insert the compatible sign for the following expression:

$-2:-1947:?>0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Complete the missing value

00:03 Negative divided by negative always equals positive

00:19 Positive divided by positive always equals positive

00:23 Therefore the missing value must be positive

00:32 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Insert the compatible sign for the following expression:

$-2:-1947:?>0$

Step-by-step solution

Let's first tackle the exercise on the left paying particular attention to the plus and minus signs.

The exercise looks like this:

$-:-\text{:?}=$

If we solve the equation from left to right, we can observe that we first divide a negative number by a negative number, so the result will be positive:

$-:-=+$

This means that now we need to divide a positive number by an unidentified integer that will give us a result greater than 0:

$+:+=+$

$+ > 0$

Therefore the answer is $+3.3$

Final Answer

$+3.3$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Negative divided by negative equals positive
Technique: Work left to right: (-2) ÷ (-1947) = positive
Check: Final result must be positive since positive ÷ positive > 0 ✓

Common Mistakes

Avoid these frequent errors

Ignoring order of operations in division chains
Don't solve the entire expression at once without considering order = wrong signs! This leads to confusion about which numbers are positive or negative. Always work from left to right, determining the sign after each division step.

Practice Quiz

Test your knowledge with interactive questions

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

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

FAQ

Everything you need to know about this question

Why does negative divided by negative equal positive?

Think of division as "how many groups". When you divide negative by negative, you're asking how many negative groups fit into a negative amount. The answer is always positive!

How do I handle multiple divisions in a row?

Work left to right following order of operations. First solve $-2 ÷ (-1947)$ , then divide that result by the unknown number.

What does the > 0 condition tell me?

The condition > 0 means your final answer must be positive. This helps you determine whether the missing number should be positive or negative.

Can the missing number be negative?

No! Since we need a positive result and we already have a positive number from the first division, the missing number must be positive too.

How do I verify my answer works?

Substitute your chosen number and calculate: $(-2) ÷ (-1947) ÷ (+3.3)$ . If the result is positive, you're correct!

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