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Let's write the exercise in the following way:
Note that in the numerator we are multiplying between two negative numbers, therefore the result must be a positive number:
Let's multiply by the question mark and get:
Let's divide by negative 3 and get:
Let's factor the 9 into a multiplication exercise:
Let's reduce between the 3 in the numerator and denominator, noting that we are dividing a positive number by a negative number, therefore the result must be a negative number:
Solve the following exercise:
\( (+6)\cdot(+9)= \)
Think of it as "opposite of opposite" - when you reverse a negative direction twice, you end up going positive! So .
Look at the final result you need: -3 is negative. Since , you need to divide a positive by a negative to get negative, so ? must be negative.
You could work left to right, but rewriting as a fraction makes the relationship clearer: shows you need 63 ÷ ? = -3 directly.
Check your signs! If you got +21, you probably forgot that dividing positive by positive gives positive, but we need -3. The divisor must be negative to make the quotient negative.
Substitute back step by step: , then ✓. Both steps should give you the expected result!
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