What is the product of 9.2 ×10^(3) and 7.8 ×10^(5) expressed in scientific notation? Answer:

Multiply Coefficients: Multiply the coefficients (9.2 and 7.8) together. Calculation: 9.2 × 7.8 = 71.76Add Exponents: Add the exponents (3 and 5) together since we are multiplying powers of 10. Calculation: 3 + 5 = 8Combine Results: Combine the results from Step 1 and Step 2 to form the initial product in scientific notation. Calculation: 71.76 × 10^8Adjust Coefficient: Adjust the coefficient to be between 1 and 10 for proper scientific notation. Since 71.76 is greater than 10, we need to move the decimal point one place to the left. Calculation: 71.76 becomes 7.176 To compensate for moving the decimal point, we need to increase the exponent by 1. Calculation: 8 + 1 = 9Write Final Answer: Write the final answer in scientific notation with the adjusted coefficient and exponent. Calculation: 7.176 × 10^9

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What is the product of
9.2 ×10^(3) and
7.8 ×10^(5) expressed in scientific notation?
Answer:

What is the product of $9.2 \times 10^{3}$ and $7.8 \times 10^{5}$ expressed in scientific notation? $\newline$ Answer:

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Math Problems

Grade 8

Convert between standard and scientific notation

Full solution

Q. What is the product of

9.2 \times 10^{3}

and

7.8 \times 10^{5}

expressed in scientific notation?

\newline

Answer:

Multiply Coefficients: Multiply the coefficients ( $9.2$ and $7.8$ ) together. $\newline$ Calculation: $9.2 \times 7.8 = 71.76$
Add Exponents: Add the exponents ( $3$ and $5$ ) together since we are multiplying powers of $10$ . $\newline$ Calculation: $3 + 5 = 8$
Combine Results: Combine the results from Step $1$ and Step $2$ to form the initial product in scientific notation. $\newline$ Calculation: $71.76 \times 10^8$
Adjust Coefficient: Adjust the coefficient to be between $1$ and $10$ for proper scientific notation. Since $71.76$ is greater than $10$ , we need to move the decimal point one place to the left. $\newline$ Calculation: $71.76$ becomes $7.176$ $\newline$ To compensate for moving the decimal point, we need to increase the exponent by $1$ . $\newline$ Calculation: $8 + 1 = 9$
Write Final Answer: Write the final answer in scientific notation with the adjusted coefficient and exponent. $\newline$ Calculation: $7.176 \times 10^9$