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Most cargo transport around the world is still done by sea. One of the largest cargo ships is the OOCL Hong Kong. It carries about $530,000$ cubic feet of fuel. What is the approximate amount of fuel written in scientific notation? $\newline$ Choices: $\newline$ (A) $5 \times 10^4$ cubic feet $\newline$ (B) $5 \times 10^5$ cubic feet $\newline$ (C) $5 \times 10^{-4}$ cubic feet $\newline$ (D) $5 \times 10^{-5}$ cubic feet

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Volume of cubes and rectangular prisms: word problems

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Q. Most cargo transport around the world is still done by sea. One of the largest cargo ships is the OOCL Hong Kong. It carries about

530,000

cubic feet of fuel. What is the approximate amount of fuel written in scientific notation?

\newline

Choices:

\newline

(A)

5 \times 10^4

cubic feet

\newline

(B)

5 \times 10^5

cubic feet

\newline

(C)

5 \times 10^{-4}

cubic feet

\newline

(D)

5 \times 10^{-5}

cubic feet

Express in Scientific Notation: First, we need to express $530,000$ in scientific notation. To do this, we move the decimal point so that there's only one non-zero digit to the left of the decimal point. $530,000$ is written as $5.3 \times 10^5$ in scientific notation.
Find Closest Match: Now, we look at the choices given to find the one that matches $5.3 \times 10^5$ . The closest match is (B) $5 \times 10^5$ , since scientific notation is an approximation and the choices don't include $5.3 \times 10^5$ .

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