Answer :
To find the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation, you can follow these steps:
1. Multiply the Coefficients:
- First, multiply the numerical (non-exponential) parts: [tex]\(8.2 \times 4.5\)[/tex].
- [tex]\(8.2 \times 4.5 = 36.9\)[/tex].
2. Add the Exponents:
- Next, add the exponents of the powers of 10. Here, you have [tex]\(10^9\)[/tex] and [tex]\(10^{-5}\)[/tex].
- Add the exponents: [tex]\(9 + (-5) = 4\)[/tex].
3. Combine the Results:
- Combine the coefficient from step 1 with the new power of 10 from step 2 to express the product in scientific notation.
- The result is [tex]\(36.9 \times 10^4\)[/tex].
So, the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation is [tex]\(3.69 \times 10^5\)[/tex].
1. Multiply the Coefficients:
- First, multiply the numerical (non-exponential) parts: [tex]\(8.2 \times 4.5\)[/tex].
- [tex]\(8.2 \times 4.5 = 36.9\)[/tex].
2. Add the Exponents:
- Next, add the exponents of the powers of 10. Here, you have [tex]\(10^9\)[/tex] and [tex]\(10^{-5}\)[/tex].
- Add the exponents: [tex]\(9 + (-5) = 4\)[/tex].
3. Combine the Results:
- Combine the coefficient from step 1 with the new power of 10 from step 2 to express the product in scientific notation.
- The result is [tex]\(36.9 \times 10^4\)[/tex].
So, the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation is [tex]\(3.69 \times 10^5\)[/tex].