Consider the following area model.
Let's write down the multiplication and division problems this area model represents:
the length of the big rectangle is
the width of the big rectangle is
the area of the big rectangle is
Therefore, this area model can be used to represent the following multiplication problem:
Writing this as a division problem, we get
The area model above can be used to represent the following division problem:
What is the missing number?
Let's look at 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:
Writing this as a division problem, we get
Therefore, the missing number is
The area model above can be used to represent the following division problem:
\[ 999 \div \fbox{$\phantom{00}$} = 111 \]
What is the missing number?
|
a
|
$7$ |
|
b
|
$8$ |
|
c
|
$9$ |
|
d
|
$10$ |
|
e
|
$11$ |
The area model above can be used to represent the following division problem: \[ \fbox{$\phantom{00}$} \div 4 = 212 \]
What is the missing number?
|
a
|
$864$ |
|
b
|
$828$ |
|
c
|
$848$ |
|
d
|
$884$ |
|
e
|
$868$ |
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 area is and its width is Therefore, the length 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 area is and its width is Therefore, the length 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
|
$8$ |
|
b
|
$2$ |
|
c
|
$4$ |
|
d
|
$6$ |
|
e
|
$5$ |
From left to right, find the missing numbers in the area model above.
|
a
|
$300,$ $50,$ and $9$ |
|
b
|
$200,$ $50,$ and $7$ |
|
c
|
$200,$ $50,$ and $9$ |
|
d
|
$200,$ $70,$ and $9$ |
|
e
|
$200,$ $70,$ and $7$ |
A load of coal is equally distributed between hopper wagons. Using the area model above, find how much coal is loaded into each wagon.
To find how much coal is loaded into each wagon, we need to calculate
We need to look at the orange and blue rectangles:
Let's first look at the blue rectangle (the one on the left-hand side). Its area is and its width is Hence, the length 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 area is and its width is Hence, the length of this rectangle must be Let's add this to our model:
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:
Writing this as a division problem, we get
Therefore, each wagon is loaded with of coal.
Using the area model above, find the value of $968 \div 8.$
|
a
|
$124$ |
|
b
|
$129$ |
|
c
|
$121$ |
|
d
|
$127$ |
|
e
|
$131$ |
Using the area model above, find the value of $975 \div 3.$
|
a
|
$325$ |
|
b
|
$345$ |
|
c
|
$275$ |
|
d
|
$335$ |
|
e
|
$215$ |
