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Answer :
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1. Write the following in scientific notation and express the answer with only base units:
Let's start with the given value:
- [tex]\( 16.9 \mu g \)[/tex]
Step-by-Step Solution:
- Step 1: Understand the units involved.
1 microgram ([tex]\(\mu g\)[/tex]) is [tex]\(1 \times 10^{-6}\)[/tex] grams.
- Step 2: Convert [tex]\(16.9 \mu g\)[/tex] to base units, which is grams (g).
[tex]\[
16.9 \mu g = 16.9 \times 10^{-6} g
\][/tex]
- Step 3: Write this value in scientific notation.
[tex]\[
16.9 \times 10^{-6} g = 1.69 \times 10^{-5} g
\][/tex]
So, the correct scientific notation for [tex]\(16.9 \mu g\)[/tex] is:
[tex]\[
1.69 \times 10^{-5} g
\][/tex]
2. Express 5048941 in scientific notation rounded to 3 significant figures.
Step-by-Step Solution:
- Step 1: Identify the given number, which is 5048941.
- Step 2: Convert this number to scientific notation.
- Step 3: Round the number to 3 significant figures.
[tex]\[
5048941 \approx 5.05 \times 10^{6}
\][/tex]
We know that the result, when following through the steps described, matches the final format provided.
Putting these together, the solutions are:
1. The scientific notation for [tex]\( 16.9 \mu g \)[/tex] is [tex]\( 1.69 \times 10^{-5} g \)[/tex].
2. The scientific notation for 5048941 rounded to 3 significant figures is [tex]\( 5.05 \times 10^{6} \)[/tex].
1. Write the following in scientific notation and express the answer with only base units:
Let's start with the given value:
- [tex]\( 16.9 \mu g \)[/tex]
Step-by-Step Solution:
- Step 1: Understand the units involved.
1 microgram ([tex]\(\mu g\)[/tex]) is [tex]\(1 \times 10^{-6}\)[/tex] grams.
- Step 2: Convert [tex]\(16.9 \mu g\)[/tex] to base units, which is grams (g).
[tex]\[
16.9 \mu g = 16.9 \times 10^{-6} g
\][/tex]
- Step 3: Write this value in scientific notation.
[tex]\[
16.9 \times 10^{-6} g = 1.69 \times 10^{-5} g
\][/tex]
So, the correct scientific notation for [tex]\(16.9 \mu g\)[/tex] is:
[tex]\[
1.69 \times 10^{-5} g
\][/tex]
2. Express 5048941 in scientific notation rounded to 3 significant figures.
Step-by-Step Solution:
- Step 1: Identify the given number, which is 5048941.
- Step 2: Convert this number to scientific notation.
- Step 3: Round the number to 3 significant figures.
[tex]\[
5048941 \approx 5.05 \times 10^{6}
\][/tex]
We know that the result, when following through the steps described, matches the final format provided.
Putting these together, the solutions are:
1. The scientific notation for [tex]\( 16.9 \mu g \)[/tex] is [tex]\( 1.69 \times 10^{-5} g \)[/tex].
2. The scientific notation for 5048941 rounded to 3 significant figures is [tex]\( 5.05 \times 10^{6} \)[/tex].
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