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What is the quotient of
2.058 ×10^(7) and
2.1 ×10^(4) expressed in scientific notation?
Answer:

What is the quotient of $2.058 \times 10^{7}$ and $2.1 \times 10^{4}$ expressed in scientific notation? $\newline$ Answer:

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Convert between fractions and repeating decimals

Full solution

Q. What is the quotient of

2.058 \times 10^{7}

and

2.1 \times 10^{4}

expressed in scientific notation?

\newline

Answer:

Write Numbers in Scientific Notation: Write down the numbers that need to be divided in scientific notation. $2.058 \times 10^7$ divided by $2.1 \times 10^4$
Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of $10$ ) and subtract the exponents. $(2.058 \div 2.1) \times 10^{(7 - 4)}$
Perform Coefficient Division: Perform the division of the coefficients. $2.058 \div 2.1 \approx 0.98$ (rounded to two decimal places for simplicity)
Subtract Exponents: Subtract the exponents. $\newline$ $10^{7 - 4} = 10^3$
Combine Results in Scientific Notation: Combine the results of the coefficient division and the exponent subtraction to express the quotient in scientific notation. $0.98 \times 10^3$

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