What is the quotient of 3.648 ×10^(8) and 3.8 ×10^(5) expressed in scientific notation? Answer:

Write Numbers in Scientific Notation: Write down the numbers that need to be divided in scientific notation. 3.648 × 10^8 ÷ 3.8 × 10^5Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of 10) and subtract the exponents. (3.648 ÷ 3.8) × 10^(8 - 5)Perform Coefficient Division: Perform the division of the coefficients. 3.648 ÷ 3.8 ≈ 0.96Subtract Exponents: Subtract the exponents. 10^(8 - 5) = 10^3Combine Results in Scientific Notation: Combine the results of the coefficient division and the exponent subtraction to express the answer in scientific notation. 0.96 × 10^3

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What is the quotient of
3.648 ×10^(8) and
3.8 ×10^(5) expressed in scientific notation?
Answer:

What is the quotient of $3.648 \times 10^{8}$ and $3.8 \times 10^{5}$ expressed in scientific notation? $\newline$ Answer:

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Math Problems

Grade 6

Convert between fractions and repeating decimals

Full solution

Q. What is the quotient of

3.648 \times 10^{8}

and

3.8 \times 10^{5}

expressed in scientific notation?

\newline

Answer:

Write Numbers in Scientific Notation: Write down the numbers that need to be divided in scientific notation. $3.648 \times 10^8 \div 3.8 \times 10^5$
Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of $10$ ) and subtract the exponents. $(3.648 \div 3.8) \times 10^{(8 - 5)}$
Perform Coefficient Division: Perform the division of the coefficients. $3.648 \div 3.8 \approx 0.96$
Subtract Exponents: Subtract the exponents. $10^{8 - 5} = 10^3$
Combine Results in Scientific Notation: Combine the results of the coefficient division and the exponent subtraction to express the answer in scientific notation. $\newline$ $0.96 \times 10^3$