![]() ![]() Multiplying: Multiply numbers & add powers of 10.Subtracting (with same power of 10): Subtract numbers and keep power of 10.Adding (with same power of 10): Add numbers and keep power of 10.3 -2 = 1/3 2 and 1/8 -2 = 8 2 Calculations with scientific notation: Negative powers : Put the number on the opposite side of the fraction & the power becomes positive.Power of a power : Multiply the powers.Dividing (with the same base): Subtract the powers.Multiplying (with the same base): Add the powers.Power of “0”: Anything to the power of “0” = 1 25 0 = 1. ![]() Power of “1”: Anything to the power of “1” = itself.Negative exponents = make the number “Small” (<1). “Big” numbers (>1) have positive exponents. Count the number of times the decimal point is moved and use this as the power of 10. The decimal point is always moved to after the 1 st non- zero number. Example: 10.027 g → 5 sig figs 1.50 mL → 3 sig figs = 6.6847 g/mL → 6.68 g/mL (3 sig figs) Scientific Notation Scientific Notation -A short hand method of writing numbers using powers of 10. Determine which value in the problem has least sig fig 3. Example: 10.027 g → 3 decimal places - 1.5 g → 1 decimal place 8.527 g → 8.5 g (1 decimal place) Multiplying & Dividing: 1. Round answer to that number of decimal places. Determine which value in the problem has least decimal places. 6 = x Calculations with Significant Figures Adding & Subtracting: 1.All Rights Reserved AP Physics - Core Concept Cheat Sheet 02: Basic Math for Physics Algebra If a number is _to a variable Then to solve _ that number on both sides to solve for the variable Example Added Subtract 5 = x + 2 - 2 -2 5 - 2 = x Subtracted Add 3 = x – 6 + 6 +6 3 + 6 =x Multiplied Divide 2= 4x 4 4 2/4 = x Divided Multiply 2 ![]()
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