Two integers are multiplied, and their product is a positive number. What must be true about the two integers?

One is negative and one is positive.

One is positive and one is negative.

Multiplication And Division Of Integers

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Leonie M.

Leonie M.

Community Contributor

Quizzes Created: 1 | Total Attempts: 188

Questions: 5 | Attempts: 189 | Updated: Mar 22, 2023

Settings

Create your own Quiz

Questions and Answers

1.

What is 8 • -13?
- A.
  
  -104
- B.
  
  104
- C.
  
  -204
- D.
  
  204
Correct Answer
A. -104

Explanation
To find the product of 8 and -13, we multiply the two numbers together. When we multiply a positive number (8) by a negative number (-13), the result is always negative. Therefore, the correct answer is -104.

Rate this question:

1
0
2.

The product of two positive numbers is positive.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The product of two positive numbers will always be positive because when you multiply two positive numbers, the result will be a positive number. This can be understood by considering the concept of multiplication, where multiplying a positive number by another positive number will result in a larger positive number. Therefore, the statement is true.

Rate this question:

1
0
3.

The expression -4 x -3 equivalent to 4 x -3.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The expression -4 x -3 is not equivalent to 4 x -3. When multiplying two negative numbers, the result is always positive. Therefore, -4 x -3 is equal to 12, while 4 x -3 is equal to -12. Hence, the given statement is false.

Rate this question:
4.

Two integers are multiplied, and their product is a positive number. What must be true about the two integers?
- A.
  
  Both are negative.
- B.
  
  One is negative and one is positive.
- C.
  
  One is positive and one is negative.
- D.
  
  None of the Above.
Correct Answer
A. Both are negative.

Explanation
If the product of two integers is positive, it means that both integers must have the same sign (either both positive or both negative). This is because a positive number can only be obtained by multiplying two positive numbers or two negative numbers. Therefore, both integers must be negative.

Rate this question:
5.

If you divide 1 215 by -5, what is the answer?
- A.
  
  -143
- B.
  
  143
- C.
  
  -243
- D.
  
  243
Correct Answer
C. -243

Explanation
When dividing a positive number by a negative number, the result is always negative. Therefore, when dividing 1,215 by -5, the answer is -243.

Rate this question:

Multiplication And Division Of Integers

What is 8 • -13?

The product of two positive numbers is positive.

The expression -4 x -3 equivalent to 4 x -3.

Two integers are multiplied, and their product is a positive number. What must be true about the two integers?

If you divide 1 215 by -5, what is the answer?