Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How do you write $28,000$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

View step-by-step help

View step-by-step help

Scientific notation

Full solution

Q. How do you write

28,000

in scientific notation?

\newline

\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

Move decimal point left: To write a number in scientific notation, we need to express it as a number between $1$ and $10$ multiplied by a power of $10$ . We do this by moving the decimal point to the left until we have a number between $1$ and $10$ . For $28,000$ , the decimal point is initially after the last zero, and we need to move it to between the $2$ and the $8$ .
Count decimal point places: Count the number of places the decimal point moves from its original position to its new position between the $2$ and the $8$ . This will give us the exponent for the power of $10$ .
Determine exponent: The decimal point moves $4$ places to the left ( $28,000.0$ becomes $2.8$ ). Therefore, the exponent for the power of $10$ is $4$ .
Write in scientific notation: Now we can write $28,000$ in scientific notation as $2.8$ multiplied by $10$ to the power of $4$ .

More problems from Scientific notation

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 2 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 2 months ago

Question

x^2 = 4

Posted 1 month ago

Question

x^2 = 9

Posted 3 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 3 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 3 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 3 months ago

Question

Select the equivalent expression.

\newline

((8^{-5})/(2^{-2}))^{-4}=?

\newline

1

\newline

\newline

(8^{20})/(2^{8})

\newline

\newline

(2^{6})/(8^{9})

\newline

\newline

(1)/(8\cdot 2^{2})

Posted 4 days ago

Question

Select the equivalent expression.

\newline

\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?

\newline

1

\newline

\frac{b^{21}}{4^{15}}

\newline

\frac{4^{15}}{b^{21}}

\newline

b^{-21}\cdot 4^{-15}

Posted 1 month ago

Question

Select the equivalent expression.

\newline

(3^{3}\cdot6^{6})^{-3}=

\newline

1

\newline

\frac{1}{3^{9}\cdot6^{18}}

\newline

\frac{6^{18}}{3^{9}}

\newline

\frac{3^{9}}{6^{18}}

Posted 1 month ago