SECTION 1.2MULTIPLYING INTEGERS WITHAREA MODEL
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I) REVIEW OF A RECTANGLE
When we multiply the lengths of two sides of a rectangle,the product is the area of
Suppose the length is8 units long and thewidth is 4 units long
If we multiply them
the product will be thearea of the rectangle
Inside the rectanglewe will have 32 littlesquares
So the product of two integers can be represented by the“AREA” of a rectangle
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II) MULTIPLYING TWO DIGIT INTEGERS
When multiplying a single digit number with a twodigit number, split the two digit into a sum of twonumbers
Split the 15 to two numbers that are easy to multiply
The area of each rectangle is much easier to find
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EX: FIND THE PRODUCT USING THE AREA MODEL
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A number can also be written as the difference of twointegers (if it makes things easier)
For instance 9 = 10 – 1 OR 19 = 20 – 1
and also 99999 = 100000 – 1
If we add 1 to 19, it becomes 20. However, we need tosubtract 1 also, so the value stays the same (zero property)
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EX: FIND THE PRODUCT USING THE AREA MODEL
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HOMEWORK:
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