To solve the expression [tex]\( 59.303 \times 10^2 \)[/tex], let's break it down step-by-step:
1. Identify the components: The expression involves a multiplication of the number 59.303 by [tex]\( 10^2 \)[/tex], which means multiplying the number by 100 since [tex]\( 10^2 = 100 \)[/tex].
2. Understand the multiplication: Multiplying by [tex]\( 10^2 \)[/tex] will shift the decimal point two places to the right. This occurs because each power of ten increases the place value of the digits by one order.
3. Perform the multiplication:
[tex]\[
59.303 \times 100 = 5930.3
\][/tex]
4. Additional details: Upon checking the precise numerical result, we get [tex]\( 5930.299999999999 \)[/tex]. This result can happen due to the inherent nature of floating-point arithmetic in computers, which can sometimes introduce such minor discrepancies.
Thus, the solution to the expression [tex]\( 59.303 \times 10^2 \)[/tex] is approximately:
[tex]\[
5930.299999999999
\][/tex]
Let's arrange the cards in the order that represents this solution:
- 5
- 9
- 3
- 3
These digits correspond to the first few significant figures of the correct answer.
