Question

REVIEW

(P13.2
Xavier starts with the integer -10 and multiplies it by a negative integer. Mark the statements below as true or false. If false, explain
why to the right of the statement.
a. The resulting product cannot be greater than-10.
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b. The resulting product must be greater than 0.
c. The resulting product cannot be less than 10.

Answer 1

a. The resulting product cannot be greater than-10. (False)

b. The resulting product must be greater than 0. (True)

c. The resulting product cannot be less than 10. (True)

Explanation:

Explaining Statement (a):

The integer that is given is -10,

Let it will b multiplied with another negative integers let say (-1). Starting with the smallest one in order to clarify all statement.

So, if the resultant product is represented by x, So:

x = (-10)(-1)

Using the sign Multiplication rule which is {(-)*(-)} = +

x = 10

• While looking at the result It is greater than -10 because 10 is greater than -10 (So, First Statement is False)\
• Similarly, the resulting product is greater than 0 because 10 is greater than 0 (So, 2nd statement is true)
• At the end, the minimum integer choose to multiply with the -10 will be -1. It neither be -0.5 because -0.5 is not an integer. Hence answer will never ever be less than 10. (Last statement is True)