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hips
Enter the total weight of the ship ( 4850000 kilograms) using the weights shown in the diagram.
Write your answer using multiples of powers of 10 .

hips $\newline$ Enter the total weight of the ship ( $4850000$ kilograms) using the weights shown in the diagram. $\newline$ Write your answer using multiples of powers of $10$ .

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Multiply and divide rational numbers: word problems

Full solution

Q. hips

\newline

Enter the total weight of the ship (

4850000

kilograms) using the weights shown in the diagram.

\newline

Write your answer using multiples of powers of

10

.

Identify Total Weight: Identify the total weight of the ship which is $4,850,000$ kilograms.
Break Down Weight: Break down the weight into powers of $10$ . We start with the largest power of $10$ that fits into $4,850,000$ .
Express in Powers of $10$ : $4,000,000$ can be written as $4 \times 10^6$ because $4$ times $10$ to the power of $6$ equals $4,000,000$ .
Add Parts Together: $850,000$ can be written as $8.5 \times 10^5$ because $8.5$ times $10$ to the power of $5$ equals $850,000$ .
Express as Multiple of Power: Add the two parts together: $4 \times 10^6 + 8.5 \times 10^5$ .
Express as Multiple of Power: Add the two parts together: $4 \times 10^6 + 8.5 \times 10^5$ . Realize that $8.5 \times 10^5$ is not a multiple of a power of $10$ . We need to express it as such.

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