Question

problem 1
what is $5 \cdot (-7)$?
you can think of 5 groups of $-7$ as repeatedly counting by $-7$ to the left on the number line.
that is why multiplying a positive number by a negative number gives you a negative product.
$5 \cdot (-7) = \square$

Explanation:

Step1: Apply sign multiplication rule

Positive × Negative = Negative

Step2: Calculate absolute value product

$5 \times 7 = 35$

Step3: Combine sign and product

Apply the negative sign to the product.

Answer:

$-35$