In Exercises 65–76, write each number in decimal notation without...

Question

In Exercises 65–76, write each number in decimal notation without the use of exponents. −7.00001×10^10

Accepted Answer

Hello. Today we're going to be expressing a scientific notation as a decimal notation. So the scientific notation given to us is negative 3.0005 times 10 to the eighth power. Okay, so in order to expand this, we need to go ahead and pay attention to the exponents that are 10 is raised to and the exponent in this case is going to be positive eight. So this tells us two things. 1. It tells us that we're gonna be taking our decimal and moving it to the right because the exponent is a positive number. So we're going to have an exponentially large number and it tells us how many times we're going to be moving the decimal since this number is eight, we're gonna be moving the decimal eight times. So let's go ahead and do that. So just quickly rewriting our number which is 3.5. We're gonna go ahead and move it in the positive direction eight times. So that'll be and eight. And for every time we're moving this to the right we're increasing this value by 10 times. So we're gonna fill in these gaps with Zeros. And doing so is gonna give us a final value of negative 300 million and 50,000. So that's gonna be the decimal notation of this scientific notation. And the answer to this problem is going to be be so I hope this video helps you in understanding how to expand the scientific notation and I'll go ahead and see you all in the next video.