Let's solve the given problem step by step:
1. Understand the problem:
We need to divide 5000 by [tex]\(10^3\)[/tex]. Note that [tex]\(10^3\)[/tex] is the same as 1000.
2. Write the division out explicitly:
[tex]\[
\frac{5000}{1000}
\][/tex]
3. Perform the division:
To divide 5000 by 1000, you can follow these steps:
- Count the number of zeros in the divisor (1000 has three zeros).
- Remove the same number of zeros from the end of the dividend (5000 has three zeros, so removing three zeros leaves us with 5).
Alternatively, another way to understand this division is by recognizing that moving the decimal place three positions to the left in 5000 (due to the three zeros in 1000) yields:
[tex]\[
5000 \div 1000 = 5.0
\][/tex]
4. Final answer:
Therefore, the result of dividing 5000 by [tex]\(10^3\)[/tex] is:
[tex]\[
5.0
\][/tex]
So, after carefully dividing 5000 by [tex]\(10^3\)[/tex], we get the result as 5.0.
