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What is the quotient of
1.876 ×10^(9) and
6.7 ×10^(6) expressed in scientific notation?
Answer:

What is the quotient of $1.876 \times 10^{9}$ and $6.7 \times 10^{6}$ expressed in scientific notation? $\newline$ Answer:

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Least common multiple

Full solution

Q. What is the quotient of

1.876 \times 10^{9}

and

6.7 \times 10^{6}

expressed in scientific notation?

\newline

Answer:

Divide Decimal Numbers: Divide the significant figures (decimal numbers) of the given numbers. $\newline$ We have $1.876$ divided by $6.7$ . $\newline$ Calculation: $1.876 \div 6.7 \approx 0.280$
Subtract Exponents: Subtract the exponents of the powers of $10$ in scientific notation. $\newline$ We have $10^9$ divided by $10^6$ . $\newline$ Calculation: $10^{(9-6)} = 10^3$
Combine Results in Scientific Notation: Combine the results of Step $1$ and Step $2$ to express the quotient in scientific notation. $\newline$ The quotient is approximately $0.280 \times 10^3$ . $\newline$ However, scientific notation requires the significant figure to be between $1$ and $10$ . So we need to adjust the decimal point.
Adjust Significant Figure: Adjust the significant figure to be between $1$ and $10$ and adjust the exponent accordingly. $\newline$ Move the decimal point one place to the right to get $2.80$ , which is between $1$ and $10$ . $\newline$ Since we moved the decimal one place to the right, we need to decrease the exponent by $1$ . $\newline$ Calculation: $0.280 \times 10^3 = 2.80 \times 10^{3-1} = 2.80 \times 10^2$

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