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The largest U.S. state is Alaska, which covers $5.7 \times 10^5$ square miles. Rhode Island, the smallest state, covers $1 \times 10^3$ square miles. How many times as big as Rhode Island is Alaska? Write your answer in standard form. Do not use exponents. $\newline$ ____ times as big

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Volume of cubes and rectangular prisms: word problems

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Q. The largest U.S. state is Alaska, which covers

5.7 \times 10^5

square miles. Rhode Island, the smallest state, covers

1 \times 10^3

square miles. How many times as big as Rhode Island is Alaska? Write your answer in standard form. Do not use exponents.

\newline

____ times as big

Alaska's Area: Alaska's area = $5.7 \times 10^5$ square miles. $\newline$ Rhode Island's area = $1 \times 10^3$ square miles. $\newline$ To find out how many times larger Alaska is, divide the area of Alaska by the area of Rhode Island.
Calculation: Calculation: $5.7 \times 10^5 / 1 \times 10^3$ Simplify the division by canceling out the common power of $10$ .
Simplify Division: Calculation: $5.7 \times 10^{(5-3)}$ $\newline$ This simplifies to $5.7 \times 10^2$ .
Convert to Standard Form: Convert $5.7 \times 10^2$ to standard form without exponents. $\newline$ Calculation: $5.7 \times 100 = 570$

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