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What is the product of
4.4 ×10^(2) and
3.2 ×10^(4) expressed in scientific notation?
Answer:
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What is the product of $4.4 \times 10^{2}$ and $3.2 \times 10^{4}$ expressed in scientific notation? $\newline$ Answer: $\newline$ Submit Answer

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Least common multiple

Full solution

Q. What is the product of

4.4 \times 10^{2}

and

3.2 \times 10^{4}

expressed in scientific notation?

\newline

Answer:

\newline

Submit Answer

Multiply Decimals: Multiply the decimal parts of the numbers. $\newline$ We have $4.4$ and $3.2$ to multiply. $\newline$ Calculation: $4.4 \times 3.2 = 14.08$
Add Exponents: Add the exponents of the powers of $10$ . We have $10^2$ and $10^4$ , so we add the exponents $2$ and $4$ . Calculation: $2 + 4 = 6$
Combine Results: Combine the results of Step $1$ and Step $2$ to express the product in scientific notation. $\newline$ We have $14.08$ from the decimal multiplication and $10^6$ from the exponent addition. $\newline$ Calculation: $14.08 \times 10^6$ $\newline$ However, scientific notation requires the decimal part to be between $1$ and $10$ , so we need to adjust $14.08$ .
Adjust Decimal: Adjust the decimal part to fit the scientific notation format. $\newline$ We need to move the decimal point in $14.08$ one place to the left to make it $1.408$ . $\newline$ Since we moved the decimal one place to the left, we need to increase the exponent by $1$ . $\newline$ Calculation: $1.408 \times 10^{6+1} = 1.408 \times 10^7$

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