Decimal Comparison: Is 0.707 Equal to 0.7007?

To determine if the fractions are equal, examine each digit of the decimal numbers.

In the number $0.707$, the digits are 0, 7, and 7.

In the number $0.7007$, the digits are 0, 7, 0, and 7.

The first fraction, $0.707$, has no digit in the thousandths place, but the second fraction, $0.7007$, contains a zero in the thousandths place.

Thus, $0.707 \neq 0.7007$.