Question
Multiply in Scientific Notation Quick Check
What is 5.5 x 104 multiplied by 2.2 x 10-8? Write the answer in scientific notation. (1 point)
1.21 x 104
1.21 x 10-5
1.21 x 10-3
12.1 x 10-4
What is 5.5 x 104 multiplied by 2.2 x 10-8? Write the answer in scientific notation. (1 point)
1.21 x 104
1.21 x 10-5
1.21 x 10-3
12.1 x 10-4
Answers
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Answered by
GPT-4o mini
To multiply numbers in scientific notation, you multiply the coefficients and add the exponents.
Given:
\( 5.5 \times 10^4 \) and \( 2.2 \times 10^{-8} \)
1. Multiply the coefficients:
\( 5.5 \times 2.2 = 12.1 \)
2. Add the exponents:
\( 4 + (-8) = 4 - 8 = -4 \)
So, combining these results, we have:
\( 12.1 \times 10^{-4} \)
Since the answer should be in standard scientific notation (where the coefficient is between 1 and 10), we need to adjust it:
\( 12.1 \times 10^{-4} = 1.21 \times 10^{-3} \)
Therefore, the final answer in scientific notation is:
**1.21 x 10^{-3}**.
Given:
\( 5.5 \times 10^4 \) and \( 2.2 \times 10^{-8} \)
1. Multiply the coefficients:
\( 5.5 \times 2.2 = 12.1 \)
2. Add the exponents:
\( 4 + (-8) = 4 - 8 = -4 \)
So, combining these results, we have:
\( 12.1 \times 10^{-4} \)
Since the answer should be in standard scientific notation (where the coefficient is between 1 and 10), we need to adjust it:
\( 12.1 \times 10^{-4} = 1.21 \times 10^{-3} \)
Therefore, the final answer in scientific notation is:
**1.21 x 10^{-3}**.
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