To solve the mathematical expression [tex]\(2.1 \times 10^3 \times 1.2 \times 10^2 + 1.5 \times 10^{01}\)[/tex], let's break it down step by step.
1. Identify the terms in the expression:
- The first term is [tex]\(2.1 \times 10^3\)[/tex].
- The second term is [tex]\(1.2 \times 10^2\)[/tex].
- The third term is [tex]\(1.5 \times 10^1\)[/tex].
2. Evaluate the first term:
[tex]\(2.1 \times 10^3 = 2100.0\)[/tex]
3. Evaluate the second term:
[tex]\(1.2 \times 10^2 = 120.0\)[/tex]
4. Multiply the results of the first two terms:
[tex]\[
2100.0 \times 120.0 = 252000.0
\][/tex]
5. Evaluate the third term:
[tex]\(1.5 \times 10^1 = 15.0\)[/tex]
6. Add the result of the multiplication to the third term:
[tex]\[
252000.0 + 15.0 = 252015.0
\][/tex]
So, the detailed step-by-step solution yields the final answer:
[tex]\[
(2.1 \times 10^3) \times (1.2 \times 10^2) + (1.5 \times 10^1) = 252015.0
\][/tex]
