Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the quotient of 3.648 ×10^(8) and 3.8 ×10^(5) expressed in scientific notation? Answer:

What is the quotient of 3.648×108 3.648 \times 10^{8} and 3.8×105 3.8 \times 10^{5} expressed in scientific notation?\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Convert between fractions and repeating decimalsright chevron icon

Full solution

Q. What is the quotient of 3.648×108 3.648 \times 10^{8} and 3.8×105 3.8 \times 10^{5} expressed in scientific notation?\newlineAnswer:
  1. Write Numbers in Scientific Notation: Write down the numbers that need to be divided in scientific notation. 3.648×108÷3.8×1053.648 \times 10^8 \div 3.8 \times 10^5
  2. Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of 1010) and subtract the exponents.(3.648÷3.8)×10(8−5)(3.648 \div 3.8) \times 10^{(8 - 5)}
  3. Perform Coefficient Division: Perform the division of the coefficients. 3.648÷3.8≈0.963.648 \div 3.8 \approx 0.96
  4. Subtract Exponents: Subtract the exponents. 108−5=10310^{8 - 5} = 10^3
  5. Combine Results in Scientific Notation: Combine the results of the coefficient division and the exponent subtraction to express the answer in scientific notation.\newline0.96×1030.96 \times 10^3

More problems from Convert between fractions and repeating decimals

Question
Write 135\frac{13}{5} in mixed fraction.
Get tutor helpright-arrow

Posted 2 months ago

Question
99.882882 divided by 8181
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert 245 \frac{24}{5} into a mixed number.
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert 816 8 \frac{1}{6} into an improper fraction.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert the decimal below to a fraction in simplest form.\newline0.78 0.78 \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert the decimal below to a fraction in simplest form.\newline0.599 0.599 \newlineAnswer:\newlineSubmit Answer
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the quotient of 2.058×107 2.058 \times 10^{7} and 2.1×104 2.1 \times 10^{4} expressed in scientific notation?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the quotient of 8.91×105 8.91 \times 10^{5} and 9.9×102 9.9 \times 10^{2} expressed in scientific notation?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Mariana wears her winter coat when the temperature is colder than −4∘C-4^\circ\text{C}. If tt is the temperature, in ∘C^\circ\text{C} , at which Mariana wears her winter coat, which of the following inequalities best models the situation? \newline(A) tt \newline(B) t>−4t>-4 \newline(C) t<4t<4 \newline(D) t≥4t≥ 4
Get tutor helpright-arrow

Posted 2 months ago

Question
56x856x8
Get tutor helpright-arrow

Posted 8 hours ago

View all (7)