Question

10⁻⁶ is an example of scientific notation. the exponent of -6 tells you your numbevery _______.

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \(a\times10^{n}\), where \(1\leq|a|\lt10\) and \(n\) is an integer. For \(10^{-6}\), we can think of it as \(1\times10^{-6}\) (since \(a = 1\) here which satisfies \(1\leq|a|\lt10\)). The exponent \(- 6\) indicates that we move the decimal point 6 places to the left (because the exponent is negative) when converting from scientific notation to standard form. So \(10^{-6}=\frac{1}{10^{6}}=\frac{1}{1000000}=0.000001\), which is a very small number (since the exponent is negative, it represents a fraction less than 1).

Step2: Determine the description

Since \(10^{-6}\) is equal to \(0.000001\), the exponent \(-6\) tells us that the number is very small (or we can say "small" or "tiny", but in the context of scientific notation with a negative exponent, it's a small number).

Answer:

small (or tiny, or we can also say "the number is very small, as \(10^{-6}=0.000001\)")