Answer :
Let's simplify the expression [tex]\(\frac{3.1 \times 10^3}{2.0 \times 10^2}\)[/tex].
### Step-by-step solution:
1. Express Numbers in Scientific Notation:
- The numerator is [tex]\(3.1 \times 10^3\)[/tex].
- The denominator is [tex]\(2.0 \times 10^2\)[/tex].
2. Divide the Coefficients:
- Divide the numbers [tex]\(3.1\)[/tex] and [tex]\(2.0\)[/tex]:
[tex]\[
\frac{3.1}{2.0} = 1.55
\][/tex]
3. Subtract the Exponents:
- In division, subtract the exponent in the denominator from the exponent in the numerator:
[tex]\[
3 - 2 = 1
\][/tex]
4. Combine the Results:
- Combine the result of the coefficients with the new exponent:
[tex]\[
1.55 \times 10^1
\][/tex]
Therefore, the simplified expression is [tex]\(1.55 \times 10^1\)[/tex].
### Step-by-step solution:
1. Express Numbers in Scientific Notation:
- The numerator is [tex]\(3.1 \times 10^3\)[/tex].
- The denominator is [tex]\(2.0 \times 10^2\)[/tex].
2. Divide the Coefficients:
- Divide the numbers [tex]\(3.1\)[/tex] and [tex]\(2.0\)[/tex]:
[tex]\[
\frac{3.1}{2.0} = 1.55
\][/tex]
3. Subtract the Exponents:
- In division, subtract the exponent in the denominator from the exponent in the numerator:
[tex]\[
3 - 2 = 1
\][/tex]
4. Combine the Results:
- Combine the result of the coefficients with the new exponent:
[tex]\[
1.55 \times 10^1
\][/tex]
Therefore, the simplified expression is [tex]\(1.55 \times 10^1\)[/tex].
