John is picking apples. He picks 36 from the first tree, 18 from the second tree, and 27 from the third tree. How many apples does he pick from the three trees altogether? |
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Student: They are all multiples of nine. Four times nine plus two times nine plus three times nine equals nine times nine which is eighty-one. |
Students at the Advanced Multiplicative stage are learning to choose appropriately from a range of part-whole strategies to solve and estimate the answers to problems involving multiplication and division. These strategies require one or more of the numbers involved in a multiplication or division to be partitioned, manipulated, then recombined. |