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When multiplying by 1 why is the answer the other factor?

Updated: 8/18/2019
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14y ago

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This property is called the identity property of multiplication; 1 is said to be the multiplicative identity.

Consider the definition of multiplication as repeated addition: 2 · 3 = 6 because 2 + 2 + 2 = 6. 6 · 5 = 30 because 6 + 6 + 6 + 6 + 6 = 30. When multiplying by 1, you are adding the factor exactly once; hence, 2 · 1 = 2 because 2 = 2, and 5 · 1 = 5 because 5 = 5, etc.

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Q: When multiplying by 1 why is the answer the other factor?
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