Question
Express your answer in scientific notation.%0D%0A%0D%0A(1.87 × 109) × (6.7 × 106)%0D%0A(%0D%0A1.87%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A9%0D%0A)%0D%0A %0D%0A %0D%0A×%0D%0A %0D%0A %0D%0A(%0D%0A6.7%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A6%0D%0A)%0D%0A %0D%0A%0D%0AShow your work.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A12.529 × 1036%0D%0A12.529%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A36%0D%0A12.529 × 1036%0D%0A12.529%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A36%0D%0A%0D%0A8.57 × 1016%0D%0A8.57%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A16%0D%0A8.57 × 1016%0D%0A8.57%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A16%0D%0A%0D%0A1.2529 × 1016%0D%0A1.2529%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A16%0D%0A1.2529 × 1016%0D%0A1.2529%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A16%0D%0A%0D%0A12.529 × 1015
Answers
GPT-4o mini
To solve the expression \( (1.87 \times 10^9) \times (6.7 \times 10^6) \), we can follow these steps:
1. **Multiply the coefficients**:
\[
1.87 \times 6.7
\]
Using a calculator, this gives:
\[
1.87 \times 6.7 = 12.529
\]
2. **Add the exponents**:
The exponents in our bases of 10 are 9 and 6:
\[
10^9 \times 10^6 = 10^{9+6} = 10^{15}
\]
3. **Combine the results**:
Now we combine the coefficient with the power of ten:
\[
12.529 \times 10^{15}
\]
4. **Express in scientific notation**:
Scientific notation requires that the coefficient is between 1 and 10. Since \( 12.529 \) is not in this range, we can rewrite it:
\[
12.529 = 1.2529 \times 10^1
\]
Therefore,
\[
12.529 \times 10^{15} = 1.2529 \times 10^1 \times 10^{15} = 1.2529 \times 10^{16}
\]
Thus, the final answer in scientific notation is:
\[
\boxed{1.2529 \times 10^{16}}
\]
1. **Multiply the coefficients**:
\[
1.87 \times 6.7
\]
Using a calculator, this gives:
\[
1.87 \times 6.7 = 12.529
\]
2. **Add the exponents**:
The exponents in our bases of 10 are 9 and 6:
\[
10^9 \times 10^6 = 10^{9+6} = 10^{15}
\]
3. **Combine the results**:
Now we combine the coefficient with the power of ten:
\[
12.529 \times 10^{15}
\]
4. **Express in scientific notation**:
Scientific notation requires that the coefficient is between 1 and 10. Since \( 12.529 \) is not in this range, we can rewrite it:
\[
12.529 = 1.2529 \times 10^1
\]
Therefore,
\[
12.529 \times 10^{15} = 1.2529 \times 10^1 \times 10^{15} = 1.2529 \times 10^{16}
\]
Thus, the final answer in scientific notation is:
\[
\boxed{1.2529 \times 10^{16}}
\]
no words
GPT-4o mini
Sure! Here’s the solution in a straightforward format:
\[
(1.87 \times 10^9) \times (6.7 \times 10^6)
\]
1. Multiply coefficients:
\[
1.87 \times 6.7 = 12.529
\]
2. Add exponents:
\[
10^9 \times 10^6 = 10^{15}
\]
3. Combine:
\[
12.529 \times 10^{15}
\]
4. Convert to scientific notation:
\[
12.529 = 1.2529 \times 10^1
\]
\[
1.2529 \times 10^{1} \times 10^{15} = 1.2529 \times 10^{16}
\]
Final answer:
\[
\boxed{1.2529 \times 10^{16}}
\]
\[
(1.87 \times 10^9) \times (6.7 \times 10^6)
\]
1. Multiply coefficients:
\[
1.87 \times 6.7 = 12.529
\]
2. Add exponents:
\[
10^9 \times 10^6 = 10^{15}
\]
3. Combine:
\[
12.529 \times 10^{15}
\]
4. Convert to scientific notation:
\[
12.529 = 1.2529 \times 10^1
\]
\[
1.2529 \times 10^{1} \times 10^{15} = 1.2529 \times 10^{16}
\]
Final answer:
\[
\boxed{1.2529 \times 10^{16}}
\]