Determine the sign of the product of - 16.8 x 3/7

The product of -16.8 and 3/7 is negative.

To determine the sign of the product -16.8 x 3/7, we need to consider the signs of the numbers being multiplied.

The number -16.8 is negative because it has a negative sign in front of it.

The number 3/7 is positive because the numerator (3) is positive, and the denominator (7) is positive.

When we multiply a negative number with a positive number, the product is always negative.

Therefore, the sign of the product -16.8 x 3/7 is negative.

To determine the sign of the product of -16.8 and 3/7, you need to consider the following rules:

Rule 1: When two numbers with the same sign (either both positive or both negative) are multiplied, the result is always positive.
Rule 2: When two numbers with different signs (one positive and one negative) are multiplied, the result is always negative.

In this case, -16.8 is negative because it has a negative sign in front of it. The sign of 3/7 is positive because it is a fraction with a positive numerator and denominator.

Now, let's apply the rules:

-16.8 (negative) x 3/7 (positive)

According to Rule 2, when a negative number is multiplied by a positive number, the result is always negative. Therefore, the sign of the product of -16.8 and 3/7 is negative.