Fill in the corresponding sign for the following question
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Fill in the corresponding sign for the following question
We should first consider which value we need to multiply a negative number by in order to get a positive number.
Let's remember the rule:
Therefore, the answer is:
Solve the following exercise:
\( (+6)\cdot(+9)= \)
Because we already have (-6) as one factor! If we used (+5), we'd get: (-6) × (+5) = -30, not +30. We need two negatives to make a positive result.
Same signs = positive result
• (+) × (+) = (+)
• (-) × (-) = (+)
Different signs = negative result
• (+) × (-) = (-)
• (-) × (+) = (-)
Think: "What do I need to multiply (-6) by to get +30?" Since the result is positive and one factor is negative, the other factor must also be negative to make both signs the same.
Try both options! Test (+5): (-6) × (+5) = -30 ❌
Test (-5): (-6) × (-5) = +30 ✓
Only one gives the correct answer!
Count the negative signs! An even number of negatives gives a positive result. An odd number gives a negative result. Here: (-6) × (?) = +30 needs 2 negatives total.
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