What is the product of 5.6 ×10^(6) and 8.9 ×10^(6) expressed in scientific notation? Answer:

Multiply decimals: Multiply the decimal parts of the numbers. We have 5.6 and 8.9 as the decimal parts of the two numbers in scientific notation. To find the product, we multiply these two numbers together. Calculation: 5.6 * 8.9Calculate product: Calculate the product of the decimal parts. Calculation: 5.6 * 8.9 = 49.84Add exponents: Add the exponents of 10. Since both numbers are multiplied by 10 raised to the power of 6, we add the exponents according to the laws of exponents for multiplication. Calculation: 10^6 * 10^6 = 10^(6+6) = 10^12Combine results: Combine the results of Step 2 and Step 3 to express the product in scientific notation. Since the product of the decimal parts is 49.84, which is not between 1 and 10, we need to adjust it to fit the scientific notation format. Calculation: 49.84 can be written as 4.984 * 10^1 (since 49.84 = 4.984 * 10).Adjust scientific notation: Adjust the scientific notation by combining the powers of 10. Now we combine the 10^1 from the adjustment of the decimal part with the 10^12 from the multiplication of the exponents. Calculation: 4.984 * 10^1 * 10^12 = 4.984 * 10^(1+12) = 4.984 * 10^13

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What is the product of
5.6 ×10^(6) and
8.9 ×10^(6) expressed in scientific notation?
Answer:

What is the product of $5.6 \times 10^{6}$ and $8.9 \times 10^{6}$ expressed in scientific notation? $\newline$ Answer:

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Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. What is the product of

5.6 \times 10^{6}

and

8.9 \times 10^{6}

expressed in scientific notation?

\newline

Answer:

Multiply decimals: Multiply the decimal parts of the numbers. $\newline$ We have $5.6$ and $8.9$ as the decimal parts of the two numbers in scientific notation. To find the product, we multiply these two numbers together. $\newline$ Calculation: $5.6 \times 8.9$
Calculate product: Calculate the product of the decimal parts. $\newline$ Calculation: $5.6 \times 8.9 = 49.84$
Add exponents: Add the exponents of $10$ . $\newline$ Since both numbers are multiplied by $10$ raised to the power of $6$ , we add the exponents according to the laws of exponents for multiplication. $\newline$ Calculation: $10^6 \times 10^6 = 10^{6+6} = 10^{12}$
Combine results: Combine the results of Step $2$ and Step $3$ to express the product in scientific notation. $\newline$ Since the product of the decimal parts is $49.84$ , which is not between $1$ and $10$ , we need to adjust it to fit the scientific notation format. $\newline$ Calculation: $49.84$ can be written as $4.984 \times 10^1$ (since $49.84 = 4.984 \times 10$ ).
Adjust scientific notation: Adjust the scientific notation by combining the powers of $10$ . $\newline$ Now we combine the $10^1$ from the adjustment of the decimal part with the $10^{12}$ from the multiplication of the exponents. $\newline$ Calculation: $4.984 \times 10^1 \times 10^{12} = 4.984 \times 10^{1+12} = 4.984 \times 10^{13}$