Multiplying Whole Numbers by Fractions

Multiplying Whole Numbers by Fractions

Multiple Select

Think about simple multiplication... Select all of the ways you could write and think about the expression 5 x 2

• Five groups of two

• 5 evenly split into 2 groups

• 2 + 2 + 2 + 2 + 2

Using that logic...

• How could you think of $3\times\frac{1}{2}$  ?

  
  

• Use a ruler to represent the expression and solve!

Multiple Select

Which are true about the product of

 $3\ \times\frac{1}{2}$  
Select all that apply...

•  $3\times\frac{1}{2}=\frac{3}{2}\ or\ 1\frac{1}{2}$  

• Three  $\frac{1}{2}$  inch sections is  $\frac{3}{2}\$  inches

•  $\frac{3}{2}$  inches is 3 times as long as  $\frac{1}{2}$  inch 

•  $\frac{3}{2}\$  inches is a third of  $\frac{1}{2}\$  inch

Let's Think

• We just solved 3 x $\frac{1}{2}$  by thinking of it has 3 groups of  $\frac{1}{2}$  

• What if we had the problem  $\frac{1}{2}\times3$  ?

• How could we think about it? Will the product change?

• Model it using your ruler!

Multiple Select

Which is true about the product of

 $\frac{1}{2}\times3$  ?

• The product is 1 $\frac{1}{2}$  , because it is half of 3

• Multiplying 3 x $\frac{1}{2}$  is equivalent to dividing 3 by 2

•  $\frac{1}{2}\times3\$  is not equivalent to  $3\times\frac{1}{2}$