However, in order for scientific notation to be completely correct, the number at the beginning must be between 1 and 10. The 15 has to be changed into 1.5, and to make up for this we multiply the whole thing by another factor of 10, giving 1.51014. For example, you might have the number. Thats really big, right? Unfortunately, it isnt easy to tell exactly how big at first glance with all those zeroes stuck on the end. The value of scientific notation becomes clear when you try to multiply or divide these numbers. What is? You could do this relatively easily by multiplying 3 times 5 and then adding up all the zeroes, but that still takes time, and you could easily miscount all the zeroes.
Here are a few more examples to illustrate the principles of scientific notation:.8 710-3.007 (5108 41015) 2 1024 (510-8 41015) 2 108 (9106) / (3104) 3102 (when dividing, you subtract the exponents) (810-5) / (210-3) 410-2.