Part b : how can the multiplication table be used to solve division problems ? ( choices are pictured )
Part c : consider the odd # 35 shown in the multiplication table. Consider all the #s that surround it. Note that they are all even. Does this happen for all odd numbers in the table? ( choices are pictured )
ultiplication facts that most children have memonzed can be stated in a table. Complete parts (aj through (c) below 5 5 101 15 30 35 401 1145 12 18124 30 136 424 7 7 14 121 881 42 49 56 3514 16 12432 140 48 56 64 72 181 |27 | 136| | :45: | 54 72 81 Find some patlerns and explam why they occur in the table. Select all that appty A. Moving diagonally down and to the right,tie difference between entries increases by 2 This pattern occurs because, starting at row a and column b.the frst difterence is (a + 1Xb second difference is (a + 2Xb+2)-(a+1Xb+1), and the ditference between difterences is (a +b+3)-(a+b 1)-2 B. Every row or column correspanding to an even number contains only even numbers. This patterm occurs because the product of an even number and any other whole number is e The table is symmetric about the diagonal ine rom 1 to 81 This pattern occurs because multiplication is commutative D. Perfect squares occur on each entry in the diagonal ine from 1 to 81. This pattern occurs because these entries correspond to mutipying a number by tset E. Moving to the right along row a, the entries increase by a +1. This pattern occurs because at row b, the entry is ab, and at row b + 1, the entry is ab + 1), and the difference is atb â¡ c.
