Question

Try these without a calculator. On these, dont round. Do convert final answers to scientific notation. Do the odds first, then the evens if you need more practice.
1. (61 x 10⁻⁷) + (2.25 x 10⁻⁵) + (212.0 x 10⁻⁶) =2. ( ― 54 x 10⁻²⁰ ) + ( ― 2.18 x 10⁻¹⁸ ) =3. ( ― 21.46 x 10⁻¹⁷ ) ― ( ― 3,250 x 10⁻¹⁹ ) =

Answer 1

Answer:

1) $2.406e^{-4}$

2) $-5.618e^{-19}$

3) $-2.14275e^{-16}$

Step-by-step explanation:

1) First you need to reorder the terms, to do a simple sum:

  (61 x 10⁻⁷) + (2.25 x 10⁻⁵) + (212.0 x 10⁻⁶) =

  $6.1e^{-6} + 22.5e^{-6} + 212e^{-6}=$

Now you can simply sum each term, because the exponential is the same:

 $240.6e^{-6}=\\ 2.406e^{-4}$

2) First you need to reorder the terms, to do a simple sum:

  ( ― 54 x 10⁻²⁰ ) + ( ― 2.18 x 10⁻¹⁸ ) =

  $-5.4e^{-19} - 0.218e^{-19}=$

Now you can simply sum each term, because the exponential is the same:

$-5.618e^{-19}$

3) First you need to reorder the terms, to do a simple sum:

 ( ― 21.46 x 10⁻¹⁷ ) ― ( ― 3,250 x 10⁻¹⁹ ) =

$-21.46e^{-17} + 0.0325e^{-17}=$

Now you can simply sum each term, because the exponential is the same:

$-21.4275e^{-17}=\\-2.14275e^{-16}$