Certainly! Let's solve the division problem step by step:
Given the problem:
[tex]\[ 5,000 \div 10^3 \][/tex]
### Step 1: Understand the division
Division involves splitting a number (the dividend) into equal parts based on another number (the divisor). Here, our dividend is 5,000, and our divisor is [tex]\( 10^3 \)[/tex].
### Step 2: Express the divisor in standard form
[tex]\( 10^3 \)[/tex] is an exponential term where 10 is raised to the power of 3. This can be written as:
[tex]\[ 10^3 = 10 \times 10 \times 10 = 1,000 \][/tex]
### Step 3: Perform the division
Now, we need to divide the dividend by the divisor:
[tex]\[ 5,000 \div 1,000 \][/tex]
### Step 4: Simplify the division
When dividing by 1,000, we can think of it as moving the decimal point three places to the left in the dividend. Therefore:
[tex]\[ 5,000 \div 1,000 = 5 \][/tex]
### Step 5: Write the final result
Thus, the result of the division [tex]\( 5,000 \div 10^3 \)[/tex] is:
[tex]\[ 5.0 \][/tex]
So, the final answer is:
[tex]\[ 5.0 \][/tex]
