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# HL AI – Number and Logarithms

##### Learning Outcomes
 Write numbers in a x 10k (standard form). Calculate in standard form. Understand basic rules of exponents such as (multiplying, division, powers, fractional powers, negative powers, etc). Find exponents of integers without a calculator. Use the natural logarithm (ln) and interchange with its base (e). Modelling with logarithms, such as population models. Understanding and calculating simple and compound interest. Using a GDC and other technology to find amortization and annuities. Approximation to decimal places and significant figures. Understanding and finding upper and lower bounds of rounded number. Finding percentage error of rounded number. Estimation of number. Convert between exponent and logarithm form. Understand the basic rules of logarithms and relationship with exponent forms. Understand and use the change of base rule. Use the natural logarithm (ln) and interchange with its base (e). Using logarithm models with large and small numbers. Interpretation of log-log and semi-log graphs.