Standard Form and Orders of Magnitude

The numbers 7,200,000,000 and 0.0000000072 contain almost the same significant digits but represent vastly different scales. The central question is: how do powers of ten let us write, compare and calculate with numbers across enormous differences in size? Powers of ten explain how place value produces this difference without changing the underlying multiplicative structure. A negative exponent changes the scale of a power of ten, not the sign of its value.