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Karim multiplies two numbers written in scientific notation and finds that the product is 0.0258 ×
10^(-8 )

Explain the next steps Karim should take to solve this problem. Be specific.

User Rebeca
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It’s correct! I tried it!
User Tttapa
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Answer:

To solve the problem, Karim can follow these specific steps:

Understand scientific notation: Ensure that Karim understands the basic concept of scientific notation, which represents numbers as a product of a decimal number between 1 and 10 and a power of 10. For example, 0.0258 × 10^-8 is in scientific notation.

Convert to standard notation: Karim should convert the given numbers in scientific notation to standard notation. In this case, he can multiply 0.0258 by 10 raised to the power of -8. The result will be a decimal number in standard notation.

Perform the multiplication: Multiply the two numbers without considering the scientific notation. Multiply 0.0258 by 10 raised to the power of -8. This will give the actual product of the two numbers in standard notation.

Adjust the answer to scientific notation: After performing the multiplication, Karim should evaluate the result and adjust it to scientific notation if necessary. If the result is a very small or very large number, it is often expressed in scientific notation for convenience.

Finalize the answer: Write down the final answer in scientific notation, if applicable. Make sure to include the decimal number between 1 and 10 and the corresponding power of 10.

By following these steps, Karim will be able to solve the problem and obtain the accurate result in scientific notation, if necessary.

Explanation:

User OlegTheCat
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