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What is the product of
5.4 ×10^(6) and
1.4 ×10^(4) expressed in scientific notation?
Answer:
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What is the product of $5.4 \times 10^{6}$ and $1.4 \times 10^{4}$ expressed in scientific notation? $\newline$ Answer: $\newline$ Submit Answer

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Least common multiple

Full solution

Q. What is the product of

5.4 \times 10^{6}

and

1.4 \times 10^{4}

expressed in scientific notation?

\newline

Answer:

\newline

Submit Answer

Multiply Decimals: Multiply the decimal parts of the numbers. $\newline$ We need to multiply $5.4$ by $1.4$ . $\newline$ Calculation: $5.4 \times 1.4 = 7.56$
Add Exponents: Add the exponents of the powers of $10$ . Since we are multiplying numbers in scientific notation, we add the exponents of $10$ . Calculation: $10^6 \times 10^4 = 10^{6+4} = 10^{10}$
Combine Results: Combine the results of Step $1$ and Step $2$ to express the product in scientific notation. $\newline$ The product of the decimal parts is $7.56$ , and the product of the powers of $10$ is $10^{10}$ . $\newline$ Therefore, the product in scientific notation is $7.56 \times 10^{10}$ .

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