Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How do you write $330$ 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

330

in scientific notation?

\newline

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

Identify Significant Digit: Identify the most significant digit in $330$ and the number of places it needs to be moved to the right to get a number between $1$ and $10$ . $330$ can be rewritten as $3.30$ by moving the decimal point two places to the left.
Write Coefficient: Write the number $3.30$ as the coefficient in scientific notation. $\newline$ The coefficient in scientific notation must be between $1$ and $10$ , and $3.30$ satisfies this condition.
Count Decimal Places: Count the number of places the decimal point was moved in Step $1$ to determine the exponent of $10$ . The decimal point was moved $2$ places to the left, so the exponent will be $2$ .
Write Scientific Notation: Write the scientific notation by combining the coefficient from Step $2$ and the exponent from Step $3$ . $\newline$ $330$ in scientific notation is written as $3.30 \times 10^2$ .

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