Sure! Let's solve the problem step-by-step using scientific notation.
1. Rewrite the numbers in scientific notation:
[tex]\[
1,960,000
\][/tex]
In scientific notation, this becomes:
[tex]\[
1.96 \times 10^6
\][/tex]
Likewise for:
[tex]\[
14,000
\][/tex]
In scientific notation, this becomes:
[tex]\[
1.4 \times 10^4
\][/tex]
2. Set up the division with the numbers in scientific notation:
[tex]\[
\frac{1.96 \times 10^6}{1.4 \times 10^4}
\][/tex]
3. Divide the coefficients and subtract the exponents:
- Divide the coefficients:
[tex]\[
\frac{1.96}{1.4} = 1.4
\][/tex]
- Subtract the exponents:
[tex]\[
10^6 \div 10^4 = 10^{6-4} = 10^2
\][/tex]
4. Combine the results:
[tex]\[
1.4 \times 10^2
\][/tex]
5. Convert this back to standard scientific notation (if needed):
[tex]\[
1.4 \times 10^2 = 140 \, \text{(not necessary since it's already simple enough)}
\][/tex]
So, the final answer in scientific notation is:
[tex]\[
1.4 \times 10^2
\][/tex]
In decimal form, this is:
[tex]\[
140
\][/tex]
And if we multiply it out, we get:
[tex]\[
14000.0
\][/tex]
Hence, the final answer in scientific notation is:
[tex]\[
1.4 \times 10^4
\][/tex]
