What is the quotient of 7.15 ×10^(8) and 6.5 ×10^(3) expressed in scientific notation? Answer:

Write Numbers in Scientific Notation: Write down the numbers in scientific notation that need to be divided. 7.15 × 10^8 (the dividend) and 6.5 × 10^3 (the divisor).Divide Coefficients and Subtract Exponents: Divide the coefficients (the numbers in front of the powers of 10) and subtract the exponents. Divide 7.15 by 6.5 to get the coefficient for the quotient. 7.15 ÷ 6.5 = 1.1 (rounded to two significant figures for simplicity). Subtract the exponent of the divisor (3) from the exponent of the dividend (8). 8 - 3 = 5.Write Result in Scientific Notation: Write the result in scientific notation. The coefficient is 1.1 and the exponent is 5. So, the quotient is 1.1 × 10^5.

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What is the quotient of
7.15 ×10^(8) and
6.5 ×10^(3) expressed in scientific notation?
Answer:

What is the quotient of $7.15 \times 10^{8}$ and $6.5 \times 10^{3}$ expressed in scientific notation? $\newline$ Answer:

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Precalculus

Partial sums of geometric series

Full solution

Q. What is the quotient of

7.15 \times 10^{8}

and

6.5 \times 10^{3}

expressed in scientific notation?

\newline

Answer:

Write Numbers in Scientific Notation: Write down the numbers in scientific notation that need to be divided. $7.15 \times 10^8$ (the dividend) and $6.5 \times 10^3$ (the divisor).
Divide Coefficients and Subtract Exponents: Divide the coefficients (the numbers in front of the powers of $10$ ) and subtract the exponents. $\newline$ Divide $7.15$ by $6.5$ to get the coefficient for the quotient. $\newline$ $7.15 \div 6.5 = 1.1$ (rounded to two significant figures for simplicity). $\newline$ Subtract the exponent of the divisor ( $3$ ) from the exponent of the dividend ( $8$ ). $\newline$ $8 - 3 = 5$ .
Write Result in Scientific Notation: Write the result in scientific notation. $\newline$ The coefficient is $1.1$ and the exponent is $5$ . $\newline$ So, the quotient is $1.1 \times 10^5$ .