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Since we are multiplying two positive numbers, the result will necessarily be positive.
Therefore:
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
The sign rule for multiplication states that when you multiply two numbers with the same sign, the result is always positive. Since both +10 and +3 are positive, their product +30 must be positive too!
While mathematically correct, the + sign is usually optional for positive numbers. You can write either +30 or just 30 - both mean the same thing!
Multiplication means repeated addition: (+10) × (+3) = (+10) + (+10) + (+10) = +30. But addition gives: (+10) + (+3) = +13. The × symbol tells you which operation to use!
Then you'd use a different sign rule: positive × negative = negative. For example, (+10) × (-3) = -30. The signs must be the same to get a positive result.
Yes! Think "same signs = positive, different signs = negative". So + × + = +, and - × - = +, but + × - = - and - × + = -.
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