3.09 Dividing 2 and 3 digit numbers
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Do you remember how to multiply numbers using the area model? We will reverse this skill in order to divide larger numbers. Let's try this problem to practice.
We want to use the area model to find $607\times6$607×6.
Fill in the areas of each rectangle.
$600$600 $7$7 $6$6 $\editable{}$ $\editable{}$ What is the total area of both rectangles?
So what is $607\times6$607×6?
Learn
This video looks at how we can use area models to divide large numbers by a single digit number.
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Question 1
Let's use an area model to find the answer to $42\div3$42÷3.
We set up the area model using a rectangle like this.
$3$3 Total area: $42$42 Now if we don't know what $42\div3$42÷3 is straight away, we start with something we do know, like groups of $10$10.
Fill in the area used so far if we take out $10$10 groups of $3$3.
$10$10 $3$3 $\editable{}$ Total area: $42$42 How much area is remaining?
$10$10 $3$3 $30$30 $\editable{}$ Total area: $42$42 What is the width of the second rectangle?
$10$10 $\editable{}$ $3$3 $30$30 $12$12 Total area: $42$42 Using the area model above, what is $42\div3$42÷3?
Learn
This video looks at how we can use place value and partitioning numbers to solve division problems.
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Question 2
Find the value of $363\div3$363÷3.
Learn
This video looks at how we can use a long division algorithm to solve division with larger numbers.
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Question 3
Find the value of $228\div3$228÷3.
Division is when we share a total into a number of groups, or find out how many items each group has. It is the reverse of multiplication.
If two factors multiply to give a product, then dividing the product by one of the factors will give the other factor as the solution.