What is the product of 5.4 ×10^(6) and 1.4 ×10^(4) expressed in scientific notation? Answer:

Multiply coefficients: Multiply the coefficients (5.4 and 1.4) together. Calculation: 5.4 × 1.4Calculate product: Calculate the product of the coefficients. Calculation: 5.4 × 1.4 = 7.56Add exponents: Add the exponents of 10 (6 and 4) together. Calculation: 6 + 4 = 10Combine coefficients and exponents: Combine the product of the coefficients with the sum of the exponents. Calculation: 7.56 × 10^(6+4) = 7.56 × 10^10Check coefficient: Check if the coefficient (7.56) is in the correct form for scientific notation (between 1 and 10). Calculation: 7.56 is between 1 and 10.Write final answer: Write the final answer in scientific notation. Calculation: The product is 7.56 × 10^10.

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What is the product of
5.4 ×10^(6) and
1.4 ×10^(4) expressed in scientific notation?
Answer:

What is the product of $5.4 \times 10^{6}$ and $1.4 \times 10^{4}$ 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

5.4 \times 10^{6}

and

1.4 \times 10^{4}

expressed in scientific notation?

\newline

Answer:

Multiply coefficients: Multiply the coefficients ( $5.4$ and $1.4$ ) together. $\newline$ Calculation: $5.4 \times 1.4$
Calculate product: Calculate the product of the coefficients. $\newline$ Calculation: $5.4 \times 1.4 = 7.56$
Add exponents: Add the exponents of $10$ ( $6$ and $4$ ) together. $\newline$ Calculation: $6 + 4 = 10$
Combine coefficients and exponents: Combine the product of the coefficients with the sum of the exponents. $\newline$ Calculation: $7.56 \times 10^{6+4} = 7.56 \times 10^{10}$
Check coefficient: Check if the coefficient ( $7.56$ ) is in the correct form for scientific notation (between $1$ and $10$ ). $\newline$ Calculation: $7.56$ is between $1$ and $10$ .
Write final answer: Write the final answer in scientific notation. $\newline$ Calculation: The product is $7.56 \times 10^{10}$ .