How do you write 86.4 in scientific notation? _____ × 10^_____

Question Prompt: Question prompt: How do you write 86.4 in scientific notation?Determine Coefficient: Determine the coefficient for the scientific notation. To find the coefficient, we need to move the decimal point in the number 86.4 so that we have a number greater than or equal to 1 and less than 10. Coefficient: 8.64Determine Exponent: Determine whether the exponent will be positive or negative. Since 86.4 is greater than 10, the exponent in the scientific notation will be positive.Calculate Exponent: Calculate the exponent for the scientific notation. We moved the decimal point one place to the left to get the coefficient 8.64. Therefore, the exponent will be the number of places we moved the decimal point. 86.4 = 8.64 × 10^1 Exponent: 1Write in Scientific Notation: Write the number 86.4 in scientific notation. We have determined that the coefficient is 8.64 and the exponent is 1. Now we can write the number in scientific notation. Scientific notation: 8.64 × 10^1

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Math Problems

Grade 8

Convert between standard and scientific notation

Full solution

Q. How do you write

86.4

in scientific notation?

\newline

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

Question Prompt: Question prompt: How do you write $86.4$ in scientific notation?
Determine Coefficient: Determine the coefficient for the scientific notation. $\newline$ To find the coefficient, we need to move the decimal point in the number $86.4$ so that we have a number greater than or equal to $1$ and less than $10$ . $\newline$ Coefficient: $8.64$
Determine Exponent: Determine whether the exponent will be positive or negative. $\newline$ Since $86.4$ is greater than $10$ , the exponent in the scientific notation will be positive.
Calculate Exponent: Calculate the exponent for the scientific notation. $\newline$ We moved the decimal point one place to the left to get the coefficient $8.64$ . Therefore, the exponent will be the number of places we moved the decimal point. $\newline$ $86.4 = 8.64 \times 10^1$ $\newline$ Exponent: $1$
Write in Scientific Notation: Write the number $86.4$ in scientific notation. $\newline$ We have determined that the coefficient is $8.64$ and the exponent is $1$ . Now we can write the number in scientific notation. $\newline$ Scientific notation: $8.64 \times 10^1$