Let's go over some of the multiplication and division strategies and problems we've looked at. These include:
We also looked at using a standard algorithm to solve multiplication or division, for larger numbers. This strategy is useful if we need to trade, or regroup.
Let's use the area model to find $29\times28$29×28.
Fill in the areas of each rectangle.
$20$20 | $9$9 | ||||||||||||||||
$20$20 | $\editable{}$ | $\editable{}$ | |||||||||||||||
$8$8 | $\editable{}$ | $\editable{}$ | |||||||||||||||
Find the sums of each column
$20$20 | $9$9 | ||||||||||||||||
$20$20 | $400$400 | $180$180 | |||||||||||||||
$8$8 | $160$160 | $72$72 | |||||||||||||||
Total: | $\editable{}$ | $\editable{}$ | |||||||||||||||
What is the total area of the rectangles?
$20$20 | $9$9 | |||||||||||||||
$28$28 | $560$560 | $252$252 | ||||||||||||||
So what is $29\times28$29×28?
Find the value of $651\div7$651÷7.
Find the value of $297\div16$297÷16.
$\editable{}$ with remainder $\editable{}$
Arrays and the area model are great to solve multiplication or division problems when there will be no remainder. If we are not sure, we can use a standard algorithm.