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Question 9 (2 points)
Simplify. Your answer should be in proper scientific notation:
Double
5.5 ×10^(4)

Question $9$ ( $2$ points) $\newline$ Simplify. Your answer should be in proper scientific notation: $\newline$ Double $5.5 \times 10^{4}$

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Powers with decimal and fractional bases

Full solution

Q. Question

9

(

2

points)

\newline

Simplify. Your answer should be in proper scientific notation:

\newline

Double

5.5 \times 10^{4}

Understand Operation: Understand the operation to be performed. $\newline$ We need to double the value of $5.5 \times 10^4$ , which means multiplying it by $2$ .
Perform Multiplication: Perform the multiplication. $\newline$ Double $5.5 \times 10^4$ by multiplying $5.5$ by $2$ . $\newline$ $5.5 \times 2 = 11$
Write in Scientific Notation: Write the result in scientific notation. $\newline$ The result of doubling $5.5$ is $11$ , so the expression becomes $11 \times 10^4$ . $\newline$ Since $11$ is not between $1$ and $10$ , we need to adjust it to proper scientific notation. $\newline$ We can write $11$ as $1.1 \times 10^1$ .
Combine Powers of $10$ : Combine the powers of $10$ . $\newline$ Now we have $1.1 \times 10^1 \times 10^4$ . $\newline$ To combine the powers of $10$ , we add the exponents. $\newline$ $10^1 \times 10^4 = 10^{1+4} = 10^5$
Final Result: Write the final result in proper scientific notation. $\newline$ The final result is $1.1 \times 10^5$ .

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