Practice Relating Division to Multiplication with our Flashcards

Understanding the Basics

Multiplication and division are two sides of the same coin. When you multiply, you are essentially adding a number to itself a certain number of times. Division, on the other hand, involves splitting a number into equal parts.

Example 1: 50 Divided by 5

Let's say you encounter the problem: 50 divided by 5. How can you think of this as a multiplication problem?

Whatever the result (let’s call it 'blank'), if you multiply it by 5, you should get 50. Therefore, we need to determine what times 5 equals 50. The answer is 10 because 10 times 5 equals 50.

So, 50 divided by 5 is 10. This also means that if 50 divided by 5 equals 10, then 10 times 5 must equal 50.

Example 2: 50 Divided by 10

Consider another problem: 50 divided by 10. The answer is 5 because 5 times 10 equals 50. This relationship works both ways; if 5 times 10 equals 50, then 50 divided by 10 equals 5.

Example 3: Dividing by 2

What if you have a problem like: blank divided by 2 equals 9? To solve this, you need to find what number divided by 2 gives you 9. You can think of it as 9 times 2, which equals 18. Thus, 18 divided by 2 equals 9.

Example 4: 12 Divided by Blank

Finally, if you're given 12 divided by blank equals 3, you need to find out what number divided into 12 gives you 3. This can be thought of as 3 times what equals 12. The answer is 4 because 3 times 4 equals 12. Therefore, 12 divided by 4 equals 3.

By understanding these relationships, you can easily switch between multiplication and division, making math problems more manageable.