# Math help from the Learning Centre

This guide provides useful resources for a wide variety of math topics. It is targeted at students enrolled in a math course or any other Centennial course that requires math knowledge and skills.

## Metric Measurements

The metric system is easy to learn and simply to use. There are only a few basic units, and they are generally related to each other by simple factors of 10. The metric system has a single unit for weight (grams), volume (litres), and another for length (metres). Smaller and larger units can be modified with a prefix. For example, kilo means 1000 times bigger, so a kilogram is 1000 grams and a kilometer is 1000 metres.

Metric Abbreviations

 Metric Base Unit Abbreviation Other Common Metric Abbreviations litre, L millilitre, mL gram, g kilogram, kg

Common Metric Equivalents in the Food-Service Industry

 Weight (Mass) Volume (Liquid) 1 gram = 1000 milligrams 1000 milliliters = 1 litre 1000 grams = 1 kilogram

Conversions between U.S. Standard and Metric Measurements

 Weight Conversion between U.S. Standard Measure and Metric Volume Conversion between U.S. Standard Measure and Metric 1 ounce = 28.35 grams 1 litre = 33.8 fluid ounces 1 kilogram = 2.21 pounds

## Examples

Example 1

Convert 24 fluid ounces of concentrate to litres and then millilitres.

Solution

$24\, fl.oz. \times \frac{1 L}{33.8\, fl.oz.} = 0.7101L\qquad (rounded\, to\, 4\, decimal\, places)$

$0.7101L \times \frac{1000mL}{1L} = 710.1mL \qquad (rounded\, to\, 1\, decimal\, place)$

Example 2

Convert 15 pounds to kilograms.

Solution

$15\, lbs \times \frac{1 \,kg}{2.21\, lbs} = 6.7873 kg \qquad (rounded\, to\, 4\, decimal\, places)$