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

32...

Question

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

32,000

Accepted Answer

Hello, everyone. We have been asked to rewrite the following number. In its scientific notation form, The number we're given is 46,000. Our answer choices are a four and 6/ multiplied by 10. Raised to the fourth power B four and 6/10 multiplied by 10 cubed C- 46 multiplied by 10 rays to the 4th power D 46 multiplied by 10, raised to the 5th power. I recall when I go from decimal notation to scientific notation that I need to make my coefficient be between the values of one And 10. It cannot include 10, but it can include one. So I need to put a decimal point in the number 46,000 That will result in a value between one and 10. So if I put the decimal point between the four and the six, I will have my coefficient that I need for scientific notation, The coefficient will be 4.6. And then we know that it's multiplied by 10 to a certain power. We need to decide what power. Well, if my decimal point originated behind the right most zero in my original value, and I moved it to between the four and the six. I'm gonna count how many places I moved that decimal point. I moved it 1234 places. Since I moved the decimal .4 places. My exponent is a four. So in scientific notation, the number 46,000 would be written as four and 6/10 multiplied by 10 rays to the fourth power which is answer choice. A have a nice day.

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In Exercises 15–30, write each number in scientific notation. 32,000