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. −3.14×10^−3

Accepted Answer

Hello. Everyone in this video. We're going to be practicing this problem where we're given a number 1.29 times 10 to the negative seven in scientific notation. And we want to find how this number expresses in decimal notation. So in order to express in decimal notation, I'm going to be concerned about the value of the exponent on the 10. And in this case the value of the exponent is -7. So in order to express in decimal notation, we want to write out all the zeros in front of this number. So if I write 1.29 and I see that the exponent is negative, I know that I'm going to be moving the decimal point to the left and I'm going to move it seven times. So 1234567. New decimal position is right there. And if I write out all the zeros, I have 123456 zeros. So the number 1.29 times 10 to the negative seven. Industrial Notation becomes 0.000000129. And that's six zeros. So the answer that matches that is a Hopefully this video helped