# When is the exponent in scientific notation negative?

Mar 25, 2018

Positive exponents lead to multipliers greater than 1:

${10}^{1} = 10 , {10}^{2} = 100 , {10}^{3} = 1000$ and so on.

An exponent of $0$ leads to a multiplier of $1$: ${10}^{0} = 1$

Negative exponents lead to multipliers smaller than 1:

${10}^{-} 1 = \frac{1}{10} = 0.1$
${10}^{-} 2 = \frac{1}{100} = 0.01$
${10}^{-} 3 = \frac{1}{1000} = 0.001$