Step 1: First, we will convert the number 23 to scientific notation. After that, we will multiply the result by 10-2.
Step 2: Since 23 do not have a decimal point, we will add one at the end of the number 23.
23.
Step 3: 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).
2.3.
Step 4: We moved the decimal point 1 spaces to the right. Therefore, the exponent on base 10 will be positive 1.Now we know that the:
Mantissa = 2.3
Exponent = 1
So, the solution is:
$$23 = \color{blue}{ 2.3} \cdot 10^{ \color{red}{ 1 }}$$Step 5: Now we need to multiply the above result by $10^{ -2 }$.
$$ 2.3 \cdot 10^{ 1 } \cdot 10^{ -2 } = 2.3 \cdot 10^{ 1-2 } = 2.3 \cdot 10^{ -1 } $$