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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: $\newline$

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Least common multiple

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:

\newline

Divide Decimal Parts: Divide the decimal parts of the given numbers. $\newline$ We need to divide $2.058$ by $2.1$ to find the quotient of the decimal parts. $\newline$ Calculation: $2.058 \div 2.1 \approx 0.98$ (rounded to two decimal places for simplicity).
Subtract Exponents: Subtract the exponents of the given numbers. $\newline$ Since we are dividing numbers in scientific notation, we subtract the exponent of the divisor $2.1 \times 10^{4}$ from the exponent of the dividend $2.058 \times 10^{7}$ . $\newline$ Calculation: $7 - 4 = 3$ .
Combine Results: Combine the results of Step $1$ and Step $2$ to express the quotient in scientific notation. $\newline$ We combine the quotient of the decimal parts ( $0.98$ ) with the result of subtracting the exponents ( $10^3$ ) to express the final answer in scientific notation. $\newline$ Calculation: $0.98 \times 10^3$ .
Check Decimal Part: Check if the decimal part of the scientific notation is between $1$ and $10$ . The decimal part we obtained, $0.98$ , is less than $1$ . We need to adjust it to be between $1$ and $10$ for proper scientific notation. Calculation: To adjust, we can rewrite $0.98$ as $9.8$ by multiplying by $10$ , which means we need to decrease the exponent by $1$ to keep the value the same. Adjusted calculation: $10$ $0$ .
Write Final Answer: Write the final answer in correct scientific notation. $\newline$ The final answer, adjusted to have the decimal part between $1$ and $10$ , is $9.8 \times 10^2$ .

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