Let's find the products for each expression step-by-step.
i) 6 × ( − 14 ) :
Multiplying a positive number by a negative number results in a negative product. Therefore:
6 × ( − 14 ) = − 84
So, the product is − 84 .
vi) − 50 × ( − 10 ) × 60 :
When multiplying numbers, the order doesn't matter due to the commutative property of multiplication. Here we have two negative numbers and a positive number:
First multiply the two negative numbers: − 50 × − 10 = 500 (since multiplying two negatives gives a positive).
Then, multiply the result by the positive number: 500 × 60 = 30000 .
So, the product is 30000 .
vii) − 16 × ( − 9 ) × ( − 8 ) × ( − 7 ) :
Notice here, there are three negative numbers, which means the overall sign will be negative (two make a positive, the third flips it back to negative):
First, multiply − 16 and − 9 : − 16 × − 9 = 144 (a positive result).
Next, multiply 144 and − 8 : 144 × − 8 = − 1152 (a negative result).
Finally, multiply − 1152 and − 7 : − 1152 × − 7 = 8064 (back to positive).
So, the product is 8064 .