Question

Hey , can somebody please help me do this<3?

Answer 1

9514 1404 393

Answer:

  6.71×10^-4

Step-by-step explanation:

Move the decimal point to the immediate right of the left-most non-zero digit.

  6.71

Count how many places you moved it: 4

You have essentially determined that you can rewrite the number as ...

  $0.000671=\dfrac{6.71}{10000}=\dfrac{6.71}{10^4}=\boxed{6.71\times10^{-4}}$

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Additional comments

You can enter this number into your scientific calculator and set its display mode to "scientific". It will show you this result.

When you move the decimal point to the immediate right of the most significant digit of the number, the number of places moved is the exponent of the power of 10. The exponent is negative if you moved the decimal point to the right, as we did here. It all has to do with place value.