Let's solve the problem step by step to find out how many times smaller [tex]\(2.7 \times 10^3\)[/tex] is than [tex]\(5.481 \times 10^5\)[/tex].
1. Express the numbers in standard form:
- [tex]\(2.7 \times 10^3 = 2700\)[/tex]
- [tex]\(5.481 \times 10^5 = 548100\)[/tex]
2. Determine the ratio of the larger number to the smaller number:
- To find how many times smaller [tex]\(2700\)[/tex] is than [tex]\(548100\)[/tex], we need to divide the larger number by the smaller number:
[tex]\[
\frac{548100}{2700}
\][/tex]
3. Perform the division:
- Dividing [tex]\(548100\)[/tex] by [tex]\(2700\)[/tex] gives us the result:
[tex]\[
\frac{548100}{2700} = 203
\][/tex]
Thus, [tex]\(2.7 \times 10^3\)[/tex] is 203 times smaller than [tex]\(5.481 \times 10^5\)[/tex].
