Use our definition of multiplication and a math drawing to give a conceptual exp
ID: 3122698 • Letter: U
Question
Use our definition of multiplication and a math drawing to give a conceptual explanation for why 2 times 4 = 4 times 2. Your explanation should be general enough to remain valid if other counting numbers were to replace 2 and 4. Use the definition of multiplication to explain why the area of a carpet that is 20 feet long and 12 feet wide is 20 times 12 square feet. One cubic foot of water weights about 62 pounds. How much will the water weight in a swimming pool that is 20 feet wide, 30 feet long, and 4 feet deep? Explain how you use the associative property of multiplication when you calculate 7 times 600 mentally. Suppose you have 60 pennies arranged into 12 stacks with 5 pennies in each stack The 12 stacks are arranged into 3 rows with 4 stacks in each row. For each of the following expressions, explain how to see the pennies grouped that way. Your explanation of the grouping should not involve rearranging the pennies 3 times (4 times 5) (3 times 4) times 5 5 times (3 times 4) 4 times (3 times 5)Explanation / Answer
1) The basic idea of multiplication is repeated addition.
for example 2*4 = 2+2+2+2 {4 times} = 8
4*2 = 4+4 {2 times} = 8
hence 2*4 = 4*2 = 8
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