Question

Determine the integer whose product with (-1) is (-32)

Answer 1

INTEGERS

We must know some points on Integers before we proceed to solve the problem:

• product of two integers is an integer
• and the product of symbols follow:
• (-) × (-) = (+)
• (+) × (+) = (+)
• (+) × (-) = (-)
• (-) × (+) = (-)

SOLUTION:

Let the integer be x whose product with (- 1) is (- 32).

• Then, (- 1) × x = - 32
• Multiply both sides by (- 1), since multiplication by integers is acceptable.
• or, (- 1) × (- 1) × x = (- 1) × (- 32)
• or, 1 × x = 32
• or, x = 32

Answer: The integer is 32, whose product with (- 1) is (- 32).