Without multiplying, tell whether the value of the expression is positive or negative. Explain your reasoning.
$\frac{4}{7}, (- 3 \frac{1}{2})$

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Solution

Step 1: $\frac{4}{7} \cdot (- 3 \frac{1}{2})$
Step 2: Product of two numbers with different signs is negative.
And in $\frac{4}{7} \cdot (- 3 \frac{1}{2}), \frac{4}{7}$ is positive and $(- 3 \frac{1}{2})$ is negative. So their product will be negative.
Final Answer: Product of two numbers with different signs is negative.
And in $\frac{4}{7} \cdot (- 3 \frac{1}{2}), \frac{4}{7}$ is positive and $(- 3 \frac{1}{2})$ is negative. So their product will be negative.

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