Full solution

Q. How do you write

1,800

in scientific notation?

\newline

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

Identify Non-Zero Digit: 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 start by placing the decimal point after the first non-zero digit. $\newline$ For $1,800$ , the first non-zero digit is $1$ , so we place the decimal point after it to get $1.8$ .
Move Decimal Point: Next, we need to count how many places we moved the decimal point to get from the original number to the number between $1$ and $10$ . In this case, we moved the decimal point $3$ places to the left (from the end of $1,800$ to after the $1$ ).
Write in Scientific Notation: Now we can write the number as a product of $1.8$ and $10$ raised to the power of the number of places we moved the decimal point. Since we moved the decimal point $3$ places, we use $10^3$ .
Write in Scientific Notation: Now we can write the number as a product of $1.8$ and $10$ raised to the power of the number of places we moved the decimal point. Since we moved the decimal point $3$ places, we use $10^3$ .Therefore, $1,800$ in scientific notation is written as $1.8 \times 10^3$ .