What is the quotient of 3.515 ×10^(8) and 4.75 ×10^(5) expressed in scientific notation? Answer: ◻×10^(◻)

Understand the problem: Understand the problem. We need to divide two numbers given in scientific notation. 3.515 × 10^8 ÷ 4.75 × 10^5 We will divide the coefficients (the numbers before the × 10^ part) and subtract the exponents of 10.Divide the coefficients: Divide the coefficients. Divide 3.515 by 4.75. 3.515 ÷ 4.75 ≈ 0.74 (rounded to two decimal places for simplicity)Subtract the exponents: Subtract the exponents. Subtract the exponent of the divisor (5) from the exponent of the dividend (8). 8 - 5 = 3Combine the results: Combine the results of Step 2 and Step 3 to express the quotient in scientific notation. 0.74 × 10^3 However, scientific notation requires the coefficient to be between 1 and 10. Since 0.74 is not within this range, we need to adjust the coefficient and exponent.Adjust the coefficient: Adjust the coefficient to be between 1 and 10. To adjust 0.74, we can multiply it by 10 to make it 7.4, and decrease the exponent by 1 to keep the value the same. 7.4 × 10^(3-1) 7.4 × 10^2

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What is the quotient of
3.515 ×10^(8) and
4.75 ×10^(5) expressed in scientific notation?
Answer:
◻×10^(◻)

What is the quotient of $3.515 \times 10^{8}$ and $4.75 \times 10^{5}$ expressed in scientific notation? $\newline$ Answer: $\square \times 10^{\square}$

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Math Problems

Grade 6

Multiply three or more mixed numbers, fractions, and/or whole numbers

Full solution

Q. What is the quotient of

3.515 \times 10^{8}

and

4.75 \times 10^{5}

expressed in scientific notation?

\newline

Answer:

\square \times 10^{\square}

Understand the problem: Understand the problem. $\newline$ We need to divide two numbers given in scientific notation. $\newline$ $3.515 \times 10^8 \div 4.75 \times 10^5$ $\newline$ We will divide the coefficients (the numbers before the \times 10^ part) and subtract the exponents of $10$ .
Divide the coefficients: Divide the coefficients. $\newline$ Divide $3.515$ by $4.75$ . $\newline$ $3.515 \div 4.75 \approx 0.74$ (rounded to two decimal places for simplicity)
Subtract the exponents: Subtract the exponents. $\newline$ Subtract the exponent of the divisor ( $5$ ) from the exponent of the dividend ( $8$ ). $\newline$ $8 - 5 = 3$
Combine the results: Combine the results of Step $2$ and Step $3$ to express the quotient in scientific notation. $0.74 \times 10^3$ However, scientific notation requires the coefficient to be between $1$ and $10$ . Since $0.74$ is not within this range, we need to adjust the coefficient and exponent.
Adjust the coefficient: Adjust the coefficient to be between $1$ and $10$ . To adjust $0.74$ , we can multiply it by $10$ to make it $7.4$ , and decrease the exponent by $1$ to keep the value the same. $7.4 \times 10^{3-1} 7.4 \times 10^2$