To express the amount $15,528.23 in the form of \( a \times 10^n \) where \( a \) is a single digit, we first convert the number into scientific notation.
We can rewrite \( 15,528.23 \) as:
\[ 1.552823 \times 10^4 \]
Here, \( a = 1.552823 \) is not a single digit. We can adjust this to meet the requirement of having only one digit before the decimal point:
\[ 15,528.23 = 1.552823 \times 10^4 \]
Since we want \( a \) to be a single digit, we can round \( 1.552823 \) to \( 2 \) (because rounding it would make it simpler with one digit) and we need to adjust the exponent accordingly. So we can write:
\[ 1.552823 \approx 2 \]
Thus, we need to adjust:
\[ 2 \times 10^4 \text{ becomes } 2 \times 10^4 \]
To keep the single digit requirement:
So we'll write \( 15,528.23 \approx 1.6 \times 10^4 \).
Thus, we have:
\[ 15,528.23 \approx 1.6 \times 10^4 \]
Rounded to \( 1.6 \times 10^4 \).
Final Answer:
Therefore, \( 15,528.23 \) can be expressed as:
\[ 1.6 \times 10^4 \]
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