What is the product of 9.9 ×10^(2) and 6.7 ×10^(4) expressed in scientific notation? Answer:

Multiply Coefficients: Multiply the coefficients (9.9 and 6.7) together. Calculation: 9.9 × 6.7Add Exponents: Add the exponents (2 and 4) together since we are multiplying powers of 10. Calculation: 2 + 4 = 6Combine Results in Scientific Notation: Combine the results from Step 1 and Step 2 to express the product in scientific notation. Calculation: (9.9 × 6.7) × 10^(2+4)Perform Coefficient Multiplication: Perform the multiplication of the coefficients from Step 1. Calculation: 9.9 × 6.7 = 66.33Write Final Answer in Scientific Notation: Write the final answer in scientific notation. If the coefficient is not between 1 and 10, adjust it so that it is, and adjust the exponent accordingly. Calculation: Since 66.33 is not between 1 and 10, we need to convert it to 6.633 and increase the exponent by 1. 66.33 × 10^6 = 6.633 × 10^7

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What is the product of
9.9 ×10^(2) and
6.7 ×10^(4) expressed in scientific notation?
Answer:

What is the product of $9.9 \times 10^{2}$ and $6.7 \times 10^{4}$ 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

9.9 \times 10^{2}

and

6.7 \times 10^{4}

expressed in scientific notation?

\newline

Answer:

Multiply Coefficients: Multiply the coefficients ( $9.9$ and $6.7$ ) together. $\newline$ Calculation: $9.9 \times 6.7$
Add Exponents: Add the exponents ( $2$ and $4$ ) together since we are multiplying powers of $10$ . $\newline$ Calculation: $2 + 4 = 6$
Combine Results in Scientific Notation: Combine the results from Step $1$ and Step $2$ to express the product in scientific notation. $\newline$ Calculation: $(9.9 \times 6.7) \times 10^{(2+4)}$
Perform Coefficient Multiplication: Perform the multiplication of the coefficients from Step $1$ . $\newline$ Calculation: $9.9 \times 6.7 = 66.33$
Write Final Answer in Scientific Notation: Write the final answer in scientific notation. If the coefficient is not between $1$ and $10$ , adjust it so that it is, and adjust the exponent accordingly. $\newline$ Calculation: Since $66.33$ is not between $1$ and $10$ , we need to convert it to $6.633$ and increase the exponent by $1$ . $\newline$ $66.33 \times 10^6 = 6.633 \times 10^7$