Rewrite the expression in unit form.
Division expression | Unit form |
$3 \div 2$ | □ halves $\div 2=$ □ halves |
To express the division expression \(3 \div 2\) in unit form, we consider the dividend \(3\) as a collection of units. Specifically, we are looking for the number of 'halves' contained in \(3\). Since one unit is equal to two halves, we can find the total number of halves in \(3\) by multiplying \(3\) by \(2\), which gives \(3 \times 2 = 6\) halves.
Now that we have rewritten the dividend \(3\) as \(6\) halves, we substitute this into our division expression:
\[(6 \text{ halves}) \div 2\]
To complete the division, we divide the quantity of halves by \(2\):
\[6 \div 2 = 3\]
This results in \(3\) halves, which is equivalent to the fraction \(\frac{3}{2}\).
The expression \(3 \div 2\) written in unit form is \(6 \text{ halves} \div 2 = 3 \text{ halves}\). Thus, the completed table is:
| Division expression | Unit form \) \(3 \div 2\) | \(\boxed{6}\) halves \(\div 2 = \boxed{3}\) halves \) |
Think of this as sharing a collection of items. If you have 3 whole pizzas and you want to share them among a group, you might first cut each pizza into 2 equal halves. You would then have a total of 6 halves. If you divide those 6 halves equally between 2 people, each person gets 3 halves. This method of using unit form helps visualize how division works when dealing with fractions or parts of a whole.