Convert this number to scientific notation 278 000

Question

Accepted Answer

Welcome back everyone. We need to convert the given number in standard form to scientific notation. We're given an integer as 142,800. So writing this out so it's bigger. We have 142,800 which we can observe is greater than one. In order to convert this to its scientific notation form, we would begin in the one place at the end of our number where we would want to move our decimal point until we form a new coefficient that is greater than or equal to one but less than 10. So we would move the decimal point five places to the left so that we form a new coefficient as 1.428. And recall that in scientific notation, our coefficient is multiplied by a power of 10 because our decimal point was moved five places to the left. We decreased our original coefficient which was 142,800 to the value 1.4 to 8. And so therefore, we have a positive exponent since we moved our decimal point to the left. And since our original value of our coefficient was decreased. So we're going to place a power of a positive power of 10 to the fifth power. And so our final answer is that our standard form of 142,800 is expressed in scientific notation as 1.428 times 10 to the fifth power. This is our final answer. I hope this made sense and let us know if you have any questions.

Convert this number to scientific notation 278 000

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