Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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: $\square \times 10^{\square}$

View step-by-step help

View step-by-step help

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. $7.4 \times 10^{3-1} 7.4 \times 10^2$

More problems from Multiply three or more mixed numbers, fractions, and/or whole numbers

Question

1/6

of the dogs seen in the park were on leashes. On Wednesday,

3/7

of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?

\newline

\newline

\newline

Posted 2 months ago

Question

Perry Repertory Theater Company sold out

\frac{1}{10}

of the performances it held. Hancock Shakespeare Company sold out

\frac{5}{7}

of the performances it put on. Which theater company sold out a greater fraction of its performances?

\newline

A)Perry Repertory Theater Company

\newline

B)Hancock Shakespeare Company

Posted 2 months ago

Question

\frac{3}{5}

of the flights at Logan County Airport were delayed. At Cass County Airport,

\frac{2}{9}

of the flights were delayed. Which airport had a higher fraction of delayed flights?

\newline

A)Logan County Airport

\newline

B)Cass County Airport

\newline

Posted 2 months ago

Question

Last month, Baldwin finished

\frac{3}{7}

of his to-do list items, while Jason completed

\frac{7}{9}

of his to-do list items. Who finished a greater fraction of his to-do list last month?

\newline

\newline

Posted 2 months ago

Question

What is the quotient of

1.501 \times 10^{7}

3.95 \times 10^{4}

expressed in scientific notation?

\newline

\square \times 10^{\square}

Posted 2 months ago

Question

What is the quotient of

6.096 \times 10^{9}

6.35 \times 10^{5}

expressed in scientific notation?

\newline

\square \times 10^{\square}

Posted 2 months ago

Question

x

\newline

3x+5=2(x-4)

Posted 2 months ago

Question

Solve for the variable.

\newline

x+12=14

Posted 2 months ago

Question

As a fraction in simplest terms, what would you multiply the first number by to get the second?

\newline

6

33

\newline

6 \cdot \square=33

Posted 2 months ago

Question

8

) How many liters of pure water should be added to

150

35\%

salt water saline solution to make it a

25\%

salt water saline solution? Let

\quad = \quad

\quad 11 =\quad

Posted 4 hours ago