The speed of light is about 1.86×105 miles/second. 105 is 100000 so the speed is 186,000 miles/sec. Actually, it is about 186,252 miles/sec, but if we can only store 3 digits of mantissa, we would have to approximate it with 186,000. If we wanted to represent the number 1860, we could use 1.86×103, and our level of accuracy (the number of digits in the mantissa) would be identical to that of our speed of light value. Obviously 105 is much larger than 103, 100 times larger in fact, so the speed of light is much larger than 1860 yet both numbers have 1.86 as their mantissa. |