Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How do you write $33,000$ 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

33,000

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 $33,000$ , the decimal point is currently at the end of the number (implied after the last zero). We need to move it to the right of the first $3$ , which is $5$ places to the left.
Determine Number Between $1$ and $10$ : Moving the decimal point $5$ places to the left turns $33,000$ into $3.3$ . We count the number of places we moved the decimal point to determine the power of $10$ .
Calculate Power of $10$ : Since we moved the decimal $5$ places, the power of $10$ will be $10^5$ . Therefore, $33,000$ in scientific notation is written as $3.3 \times 10^5$ .

More problems from Scientific notation

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 3 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 3 months ago

Question

x^2 = 4

Posted 2 months ago

Question

x^2 = 9

Posted 4 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 4 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 4 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 4 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 16 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 2 months 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 2 months ago