The first steps to understanding Why multiplication works is understanding what a multiple digit integer really is. You have been working with integers for so long that this understanding is intuitive. In the decimal system each digit represents a different power of 10. The integer 1 is equal to 10 to the power of 0, integer 10 is equal to 10 to the power of 1, integer 100 is equal to 10 to the power of 2, integer 1000 is equal to 10 to the power of 3, and so on. All of the examples in the above paragraph refer to integers that include only the digit 1. What would the integer 500 equal using powers of 10? How did you come up with that answer?

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Q: In scientific notation, the 10 is raised to some power. What type of number is the power?

A: The number in the power is called exponent.

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Q: Can anyone elplain what these jumbled numbers are supposed to tell me? Thank you!

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Q: Use the numbers 5 and 4 to illustrate the commutative property of multiplication.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.