Understand Decimal Place Value Relationships Practice Test

A number has a $$7$$ in the tenths place with a value of $$0.7$$. If you wanted to place another $$7$$ in this number so that its value would be exactly $$\frac{1}{100}$$ of the original $$7$$'s value, where would you place it?

Ms. Chen writes a mystery decimal where one digit appears in both the tens place and the thousandths place. She says the digit in the tens place represents a value that is $$10{,}000$$ times the value of the same digit in the thousandths place. Which calculation proves her statement?