In Exercises 1–14, write each number in decimal notation without ...

Question

In Exercises 1–14, write each number in decimal notation without the use of exponents.-6.00001X10¹⁰

Accepted Answer

Hello everyone. We are going to rewrite the following number in its decimal form. The number we're given is negative 9.000007 multiplied by 10, raised to the ninth power. Our answer choices are a negative 0.000000009000007 B negative 0.8100006300 C negative 8 billion, 100 million, 6300 D negative 9,000,007,000. Recall that when we work with scientific notation, the exponent on our base 10 will tell us how many decimal places and in what direction to go to get back into decimal form. So I'm gonna rewrite the coefficient. So negative 9.000007. And then I'm gonna look at the exponent on my base 10. That exponent is a positive nine because it is positive. I know it will go to the right, just like if I had a number line and since it's a nine, that means I'm going to the right nine places. If I get to a spot where I don't have a number in that decimal place. I will fill it in with a zero. So starting with the decimal point between the nine and the left most zero, I'm gonna go nine places. 123456789. So behind the seven, I have three empty loops which I will be filling in with zeros. When I rewrite this without all of the doodles, it's still a negative nine in front. And then I have five zeros, seven and then three more zeros. So this number is negative 9,000,007,000. And that is answer choice D have a nice day.

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In Exercises 1–14, write each number in decimal notation without the use of exponents.-6.00001X10¹⁰

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