To fill in the missing number in the equation:
\[ 72,252 = 10^{1101} \times \text{____} \]
we can start by isolating the missing number, which we will denote as \( x \):
\[ x = \frac{72,252}{10^{1101}} \]
Now, let's calculate \( x \). First, we need to recognize that:
\[ 10^{1101} \] is a very large number, specifically it would be represented as a 1 followed by 1101 zeros.
Next, dividing 72,252 by \( 10^{1101} \) effectively means moving the decimal point 1101 places to the left in 72,252, which will result in a very small number (since the original number has fewer than 1101 digits).
Calculating this step:
- The number 72,252 has 5 digits.
- Moving the decimal 1101 places to the left, we will get a number in scientific notation:
\[ x = 7.2252 \times 10^{-1100} \]
Therefore, the missing number when formatted properly is:
0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000072252 (a 5-digit number followed by 1100 zeros)
For practical purposes, we can represent this as:
\[ x \approx 7.2252 \times 10^{-1100} \]
Grabbing the significant digits, it would be:
The missing number is approximately \( 7.2252 \).
So, to provide a response for the missing number in decimal form, we can say:
(The missing number is \( 7.2252 \) as a decimal).