Multiplying Numbers by Fractions: Key Concepts and Techniques

This video tutorial explains the outcomes of multiplying numbers by whole numbers and fractions. It demonstrates that multiplying by a whole number always results in a larger number, while multiplying by a fraction can result in a number that is greater, less, or equal to the original number, depending on whether the fraction is greater than, less than, or equal to one. The video provides examples and illustrations for each case and concludes with practice questions to reinforce understanding.

What happens when you multiply a number by a whole number?

• The result can be unpredictable.

• The result remains the same.

• The result is always greater than the starting number.

• The result is always less than the starting number.

What is the result of multiplying 4 by 3?

• 7

• 12

• 15

• 9

When multiplying by a fraction greater than one, the result is:

• Less than the starting number.

• Greater than the starting number.

• Equal to the starting number.

• Unpredictable.

What is the outcome of 4 times seven-halves?

• 14

• 28

• 7

• 3.5

What does multiplying a number by a fraction less than one result in?

• A larger number than you started with.

• A smaller number than you started with.

• The same number you started with.

• It varies.

What is the result of 4 times one-half?

• 4

• 2

• 1

• 8

Multiplying a number by a fraction equal to one will result in:

• An increase in the number.

• A decrease in the number.

• No change in the number.

• The number being squared.

What is the result of multiplying four by three-thirds?

• 3

• 4

• 1

• 12

How does the size of the fraction affect the multiplication outcome?

• Larger fractions always result in larger numbers.

• The outcome depends on whether the fraction is greater than, less than, or equal to one.

• It has no effect.

• Only fractions less than one affect the outcome.

What should you predict when multiplying a number by a fraction?

• The exact numerical outcome.

• Whether the result is greater, less, or equal to the starting number.

• How many times larger the result will be.

• If the fraction will change to a whole number.