What is the quotient of 1.56 ×10^(9) and 1.3 ×10^(6) expressed in scientific notation? Answer:

Understand the problem: Understand the problem. We need to divide two numbers given in scientific notation. 1.56 × 10^9 is the dividend, and 1.3 × 10^6 is the divisor. We will divide the coefficients (1.56 and 1.3) and subtract the exponents (9 and 6) to find the quotient in scientific notation.Divide the coefficients: Divide the coefficients. Divide 1.56 by 1.3 to get the coefficient of the quotient. 1.56 ÷ 1.3 = 1.2Subtract the exponents: Subtract the exponents. Subtract the exponent of the divisor (6) from the exponent of the dividend (9). 9 - 6 = 3Combine the results: Combine the results to express the quotient in scientific notation. The coefficient is 1.2, and the difference of the exponents is 3. Therefore, the quotient in scientific notation is 1.2 × 10^3.

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What is the quotient of
1.56 ×10^(9) and
1.3 ×10^(6) expressed in scientific notation?
Answer:

What is the quotient of $1.56 \times 10^{9}$ and $1.3 \times 10^{6}$ expressed in scientific notation? $\newline$ Answer:

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Precalculus

Partial sums of geometric series

Full solution

Q. What is the quotient of

1.56 \times 10^{9}

and

1.3 \times 10^{6}

expressed in scientific notation?

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We need to divide two numbers given in scientific notation. $\newline$ $1.56 \times 10^9$ is the dividend, and $1.3 \times 10^6$ is the divisor. $\newline$ We will divide the coefficients ( $1.56$ and $1.3$ ) and subtract the exponents ( $9$ and $6$ ) to find the quotient in scientific notation.
Divide the coefficients: Divide the coefficients. $\newline$ Divide $1.56$ by $1.3$ to get the coefficient of the quotient. $\newline$ $1.56 \div 1.3 = 1.2$
Subtract the exponents: Subtract the exponents. $\newline$ Subtract the exponent of the divisor $6$ from the exponent of the dividend $9$ . $\newline$ $9 - 6 = 3$
Combine the results: Combine the results to express the quotient in scientific notation. $\newline$ The coefficient is $1.2$ , and the difference of the exponents is $3$ . $\newline$ Therefore, the quotient in scientific notation is $1.2 \times 10^3$ .