In a multiplication table, the numbers in the first row and the first column are all factors, and the numbers in the interior rows and columns are all products. To use the table to find the answer to a multiplication problem, locate one factor in the first row and the other factor in the first column. The number in the interior square where the column and row meet is the product of the problem.
Continue ReadingAccording to the cumulative property of multiplication, the order of the factors in a multiplication problem does not affect the product. For example, in the multiplication problem 9 x 2 = 18, 9 and 2 are the factors, while 18 is the product. Whether you locate 9 in the first row and 2 in the first column, or you locate 2 in the first row or 9 in the first column, both interior squares where the columns and rows meet have the same product value of 18. In fact, the top diagonal half and the bottom diagonal half of the multiplication table are always mirrors of each other.
Multiplication tables are generally used in grades three and above to help students memorize multiplication problems from 1 x 1 to 10 x 10. When memorizing these multiplication problems, the cumulative property of multiplication is helpful because it means a student actually only has to memorize half of the problems; the other half is the same factors and product, just in a different order.
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