Let's consider the following area model:
To complete this area model, we need to look at the blue, pink, and orange rectangles:
Let's first look at the blue rectangle (the one on the left-hand side). Its length is and its width is Therefore, the area of this rectangle must be Let's add this to our model.
Now, let's look at the pink rectangle (the one in the center). Its length is and its width is Therefore, the area of this rectangle must be Let's add this to our model.
Finally, let's look at the orange rectangle (the one on the right-hand side). Its length is and its width is Therefore, the area of this rectangle must be Let's add this to our model.
And we're done!
Note: Remember, area models are usually not drawn to scale.
From left to right, find the missing numbers in the area model below.
We need to look at the blue and orange rectangles:
Let's first look at the blue rectangle (the one on the left-hand side). Its length is and its width is Therefore, the area of this rectangle must be Let's add this to our model.
Now, let's look at the orange rectangle (the one on the right-hand side). Its length is and its width is Therefore, the area of this rectangle must be Let's add this to our model:
Therefore, from left to right, the missing numbers are and
Find the missing number in the area model above.
|
a
|
$210$ |
|
b
|
$180$ |
|
c
|
$236$ |
|
d
|
$230$ |
|
e
|
$290$ |
From left to right, find the missing numbers in the area model above.
|
a
|
$1,200,$ $320,$ and $5$ |
|
b
|
$800,$ $320,$ and $5$ |
|
c
|
$800,$ $360,$ and $20$ |
|
d
|
$1,200,$ $360,$ and $20$ |
|
e
|
$1,200,$ $360,$ and $5$ |
The area model above can be used to represent the following multiplication problem:
What is the missing number?
Let's look at the big rectangle:
its length is
its width is
its area is
Hence, this area model can be used to represent the following multiplication problem:
Therefore, the missing number is
The area model above can be used to represent the following multiplication problem: \[ 754 \times \fbox{$\phantom{00}$} = 1,508. \]
What is the missing number?
|
a
|
$7$ |
|
b
|
$2$ |
|
c
|
$5$ |
|
d
|
$4$ |
|
e
|
$8$ |
The area model above can be used to represent the following multiplication problem:
\[ \fbox{$\phantom{00}$} \times 5 = 2,115. \]
What is the missing number?
|
a
|
$435$ |
|
b
|
$397$ |
|
c
|
$423$ |
|
d
|
$417$ |
|
e
|
$432$ |
Using the area model below, find the value of
First, we compute the areas of the blue, pink, and orange rectangles. This gives the following picture:
Now, notice the following regarding the big rectangle:
its length is
its width is
its area is
Therefore, this area model can be used to represent the following multiplication problem:
Using the area model above, find the value of $114 \times 7.$
|
a
|
$774$ |
|
b
|
$798$ |
|
c
|
$818$ |
|
d
|
$784$ |
|
e
|
$778$ |
Using the area model above, find the value of $255 \times 8.$
|
a
|
$2,350$ |
|
b
|
$2,040$ |
|
c
|
$2,160$ |
|
d
|
$2,420$ |
|
e
|
$2,280$ |
Using the area model below, find the value of
First, we set up the model. The number can be expressed in expanded form as So, we place and above the left, center, and right rectangles, respectively, and to the left of the big rectangle.
Next, we compute the areas of the blue, pink, and orange rectangles. This gives the following picture:
Now, notice the following regarding the big rectangle:
its length is
its width is
its area is
Therefore, this area model can be used to represent the following multiplication problem:
Using the area model above, find the value of $136 \times 4.$
|
a
|
$424$ |
|
b
|
$604$ |
|
c
|
$544$ |
|
d
|
$524$ |
|
e
|
$484$ |
Using the area model above, find the value of $236 \times 6.$
|
a
|
$1,236$ |
|
b
|
$1,416$ |
|
c
|
$1,496$ |
|
d
|
$1,506$ |
|
e
|
$1,376$ |
