Write in scientific notation: 400

Question Prompt: Question prompt: How do you write 400 in scientific notation?Determine Coefficient: Determine the coefficient for the scientific notation. We need to move the decimal point in 400 to the left until we have a number between 1 and 10. Coefficient: 4.0Determine Exponent Sign: Determine whether the exponent will be positive or negative. Since 400 is greater than 10, the exponent in scientific notation will be positive.Calculate Exponent: Calculate the exponent for the scientific notation. Moving the decimal point 2 places to the left gives us the coefficient 4.0. 400 = 4.0 × 10^2 Exponent: 2Write in Scientific Notation: Write the number 400 in scientific notation. Using the coefficient 4.0 and the exponent 2, we write 400 as 4.0 × 10^2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write in scientific notation: $\newline$ $400$

View step-by-step help

Home

Math Problems

Grade 8

Convert between standard and scientific notation

Full solution

Q. Write in scientific notation:

\newline

400

Question Prompt: Question prompt: How do you write $400$ in scientific notation?
Determine Coefficient: Determine the coefficient for the scientific notation. $\newline$ We need to move the decimal point in $400$ to the left until we have a number between $1$ and $10$ . $\newline$ Coefficient: $4.0$
Determine Exponent Sign: Determine whether the exponent will be positive or negative. $\newline$ Since $400$ is greater than $10$ , the exponent in scientific notation will be positive.
Calculate Exponent: Calculate the exponent for the scientific notation. $\newline$ Moving the decimal point $2$ places to the left gives us the coefficient $4.0$ . $\newline$ $400 = 4.0 \times 10^2$ $\newline$ Exponent: $2$
Write in Scientific Notation: Write the number $400$ in scientific notation. $\newline$ Using the coefficient $4.0$ and the exponent $2$ , we write $400$ as $4.0 \times 10^2$ .