Certainly! Let's break down the steps to find the radius of a hydrogen atom given in scientific notation.
1. Understanding Scientific Notation:
- Scientific notation expresses numbers as a product of a coefficient and a power of 10.
- The given value for the radius is [tex]\(0.037 \times 10^{-0}\)[/tex].
2. Interpreting [tex]\(10^{-0}\)[/tex]:
- Any number raised to the power of 0 is 1.
- Therefore, [tex]\(10^{-0} = 1\)[/tex].
3. Calculating the Radius:
- To find the actual radius, we multiply the coefficient by the power of 10.
- The coefficient in this case is 0.037.
- [tex]\[
0.037 \times 10^{-0} = 0.037 \times 1 = 0.037
\][/tex]
4. Final Result:
- The radius of the hydrogen atom, therefore, is [tex]\(0.037\)[/tex].
So, the radius of the hydrogen atom is [tex]\(0.037\)[/tex].
