Conversion tables - metric units

Learning Objectives Recall and apply the primary metric prefixes for length (kilo-, centi-, milli-). Use a conversion table or rule to convert any given metric length to a consistent base unit for calculations. Convert all side lengths of a right triangle to a single, consistent metric unit before performing calculations. Accurately apply the Pythagorean theorem to solve for unknown side lengths in right triangles presented with mixed metric units. Use trigonometric ratios (sine, cosine, tangent) to solve for unknown sides or angles after standardizing all units. Solve multi-step word problems involving right triangles where metric unit conversion is a necessary first step. An engineer's blueprint shows a right-angled ramp with a base of 3 meters and a height of 120 cen...

TermDefinitionExample Metric SystemA system of measurement based on the decimal system, where units are related by powers of 10. The base unit for length is the meter (m).Kilometer (km), meter (m), centimeter (cm), and millimeter (mm) are all metric units of length. Metric PrefixesSyllables attached to the beginning of a base unit to indicate a multiple or fraction of that unit.In 'kilometer', 'kilo-' is the prefix meaning 1000. In 'centimeter', 'centi-' is the prefix meaning 1/100th. Conversion TableA chart that shows the relationship between different units, allowing for systematic conversion by moving a decimal point or multiplying/dividing by powers of 10.km | hm | dam | m | dm | cm | mm. Moving from meters to centimeters is two steps to the rig...

Metric Conversion: Decimal Shift Rule King Henry Died By Drinking Chocolate Milk (km, hm, dam, base unit, dm, cm, mm) This mnemonic helps remember the order of metric prefixes. To convert, count the number of 'jumps' between the starting unit and the target unit. Move the decimal point that many places in the same direction. Pythagorean Theorem a^2 + b^2 = c^2 Used in a right triangle to find the length of a third side when two sides are known. Before applying, ensure lengths 'a', 'b', and 'c' are all in the exact same metric unit (e.g., all in meters or all in centimeters). Trigonometric Ratios \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}, \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}, \tan(\theta) = \frac...