Explain how the two steps of mving the decimal and multipying by the power of 10 leave the value of the orginal number unchanged

Multiplying by the power of 10 will always move the value of the original number to the left without changing the original number. Lets say you have 2.06 and u multiply it by 10^4 power (which also equals 10000) you would end up with 20600 because when you multiply by the power of 10 however many zeros you end up with you add to the end of the original value which in this case will take two zeros to move 2.06 into 206 and then you add two zeros onto the end which leaves you with 20600. For anther example, 567 x 10^2 = 567 because 10^2 equals 100 and if you add those two zeros you get from 100 to 567 you get 56700 with the original value unchanged because when multiplying by the power of 10 you only add 0's to the number.

Sorry if that was super confusing /: I tried my best (not that good at explaining) hope I helped though (:

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