To convert a number in scientific notation to standard notation, move the decimal point $n$ places to the write if $n$ is positive, or $|n|$ places to the left if $n$ is negative. Add zeros as needed.

To write a number in scientific notation, move the decimal point to the right of the first nonzero digit in the number. Write the digits as a decimal number between 1 and 10. Count the number of places $n$ that you moved the decimal point. Multiply the decimal number by 10 raised to a power of $n$. If you moved the decimal left as in a very large number, $n$ is positive. If you moved the decimal right as in a small large number, $n$ is negative.

Glossary

constant: number whose value does not change

inequality: compares two expressions, identifying one as more, less, or simply different than the other

inference: drawing reliable conclusions about the population on the basis of what we’ve discovered in our sample

probability: a number between zero and one, inclusive, that gives the likelihood that a specific event will occur; also described as long-term relative frequency. Probabilities are between 0 and 1, inclusive.

real number line: a horizontal line used to represent the real numbers. An arbitrary fixed point is chosen to represent 0; positive numbers lie to the right of 0 and negative numbers to the left.

scientific notation: number is written in the form $a \times 10^{n}$ where $1 \leq |a| < 10$ solution set: values of a variable which make a statement true

variable: a quantity that may change value, or whose value we don’t know