What is the quotient of 1.501 ×10^(7) and 3.95 ×10^(4) expressed in scientific notation? Answer: ◻×10^(◻)

Understand the problem: Understand the problem. We need to divide two numbers given in scientific notation and express the result in scientific notation as well.Write down the numbers: Write down the numbers to be divided. 1.501 × 10^7 ÷ 3.95 × 10^4Divide the coefficients: Divide the coefficients (the numbers in front of the powers of 10). 1.501 ÷ 3.95Calculate the division: Calculate the division of the coefficients. 1.501 ÷ 3.95 ≈ 0.380Subtract the exponents: Subtract the exponents of the powers of 10. 10^7 ÷ 10^4 = 10^(7-4) = 10^3Combine the results: Combine the results of Step 4 and Step 5 to express the quotient in scientific notation. 0.380 × 10^3Check coefficient form: Check if the coefficient is in the correct form for scientific notation (between 1 and 10). The coefficient 0.380 is not between 1 and 10, so we need to adjust it to be in proper scientific notation.Adjust coefficient and exponent: Adjust the coefficient to be between 1 and 10 and adjust the exponent accordingly. 0.380 can be written as 3.80 by multiplying by 10, which means we need to decrease the exponent by 1. 3.80 × 10^(3-1) = 3.80 × 10^2Write final answer: Write the final answer in correct scientific notation. Answer: 3.80 × 10^2

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What is the quotient of
1.501 ×10^(7) and
3.95 ×10^(4) expressed in scientific notation?
Answer:
◻×10^(◻)

What is the quotient of $1.501 \times 10^{7}$ and $3.95 \times 10^{4}$ 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

1.501 \times 10^{7}

and

3.95 \times 10^{4}

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 and express the result in scientific notation as well.
Write down the numbers: Write down the numbers to be divided. $1.501 \times 10^7 \div 3.95 \times 10^4$
Divide the coefficients: Divide the coefficients (the numbers in front of the powers of $10$ ). $1.501 \div 3.95$
Calculate the division: Calculate the division of the coefficients. $1.501 \div 3.95 \approx 0.380$
Subtract the exponents: Subtract the exponents of the powers of $10$ . $10^7 \div 10^4 = 10^{(7-4)} = 10^3$
Combine the results: Combine the results of Step $4$ and Step $5$ to express the quotient in scientific notation. $\newline$ $0.380 \times 10^3$
Check coefficient form: Check if the coefficient is in the correct form for scientific notation (between $1$ and $10$ ). $\newline$ The coefficient $0.380$ is not between $1$ and $10$ , so we need to adjust it to be in proper scientific notation.
Adjust coefficient and exponent: Adjust the coefficient to be between $1$ and $10$ and adjust the exponent accordingly. $\newline$ $0.380$ can be written as $3.80$ by multiplying by $10$ , which means we need to decrease the exponent by $1$ . $\newline$ $3.80 \times 10^{3-1} = 3.80 \times 10^2$
Write final answer: Write the final answer in correct scientific notation. $\newline$ Answer: $3.80 \times 10^2$