In Exercises 15–30, write each number in scientific notation.638,...

Question

In Exercises 15–30, write each number in scientific notation.638,000,000,000,000,000

Accepted Answer

Hello, everyone. We're gonna rewrite the following number in its scientific notation form. The number we're given is 866 quadrillion. Our answer choices are a eight and 66/ multiplied by 10. Raised to the 16th power B eight and 66/100 multiplied by 10, raised to the 17th power C 86 and 6/10 multiplied by 10, raised to the 18th power D 86 and 66/10 multiplied by 10, raised to the 19th power. First thing I recall when I go from decimal notation to scientific notation is that I need to make a coefficient that is between one and 10. It could be one but it cannot be 10. We need to have a single digit to the left of the decimal point. So looking at our number 866 quadrillion I am going to rewrite it so I can move my decimal point to a spot that will give me a value between one and 10. So we have 15 zeros. So I've now rewritten the number 866 quadrillion. I recall that my decimal point originally is behind the right most zero And to create a coefficient that is between one and 10. I want the decimal point to be between eight and six. So my coefficient is going to be eight and hundreds And that's gonna be multiplied by 10. And we got to find what exponent needs to go there. So we are gonna count how many decimal places are there from where the decimal point began behind the right most zero and where it ended up between the eight and the six. Luckily, having written commas in this number, I can count my zeros in groups of three. So I know I have 369, 12, 15 decimal places. Bet before I get to the first six, then 12 more. So 17 is the exponent on the base 10. So this means in scientific notation, the number 866 quadrillion would be rewritten as eight and 66/ multiplied by 10, raised to the 17th power, which is answer choice B have a nice day.

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In Exercises 15–30, write each number in scientific notation.638,000,000,000,000,000

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