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Question 1 (2 points)
Write in scientific notation:

400

Question $1$ ( $2$ points) $\newline$ Write in scientific notation: $\newline$ $400$

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Convert between standard and scientific notation

Full solution

Q. Question

1

(

2

points)

\newline

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 $4.0 \times 10^2$ .

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