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

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Question

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

-5716

Accepted Answer

Hello, everyone. We are going to rewrite the following number. In its scientific notation form, the number we're given is negative 276. Our answer choices are a negative 27 6/ multiplied by 10 squared B -27 and 6/10 multiplied by 10 cubed C negative two and 76/100 multiplied by 10 squared D negative two and 76/100 multiplied by 10 cubed. I recall that when I go from decimal notation to scientific notation, I want to create a coefficient that has a value between one and 10. It could be one but it cannot be 10. We want only one digit to the left of the decimal point. The number we're given negative 276 is negative and our answer will be negative. So that negative sign will not come into play while we try to figure out what exponent goes on our base 10. So creating our coefficient from the number -276. Again, as I just mentioned, the negative sign will stay to the left. Originally, the decimal point would be behind the six or to the right of the six And I want to place it between the two and the seven to get a coefficient that falls in between one and 10 and has only one digit to the left of the decimal point. So our coefficient is gonna be negative two and 76/100. That's gonna be multiplied by 10 to the, we have to discover which power since our original decimal point is to the right of the six, I'm gonna count how many decimal places it took to get it to be between the two and the seven no 1, 2 places. So my exponent on the base 10 will be two. So this means that in scientific notation, the number negative 276 is negative two and 76/100 multiplied by 10 squared, which is answer choice C have a nice day.

In Exercises 15–30, write each number in scientific notation. -5716

Key Concepts

Scientific Notation

Negative Numbers in Scientific Notation

Converting to Scientific Notation

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