Step 1: First, we will convert the number 100.11 to scientific notation. After that, we will multiply the result by 103.
Step 2: Move the decimal point from its current position (the black dot) to a position immediately to the right of the first nonzero digit (the red dot).
1.00.11
Step 3: We moved the decimal point 2 spaces to the right. Therefore, the exponent on base 10 will be positive 2.Now we know that the:
Mantissa = 1.0011
Exponent = 2
So, the solution is:
$$100.11 = \color{blue}{ 1.0011} \cdot 10^{ \color{red}{ 2 }}$$Step 4: Now we need to multiply the above result by $10^{ 3 }$.
$$ 1.0011 \cdot 10^{ 2 } \cdot 10^{ 3 } = 1.0011 \cdot 10^{ 2+3 } = 1.0011 \cdot 10^{ 5 } $$