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.

- Welcome
- Learning Math Strategies (Online)Toggle Dropdown
- Study Skills for MathToggle Dropdown
- Simply Math
- Business MathToggle Dropdown
- How to use a scientific calculator
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Basic Laws
- Operations on Signed numbers
- Order of Operations
- Fractions
- Decimals
- Percents
- Ratios and Proportions
- Exponents
- Statistics
- Factoring
- Rearranging Formulas
- Solving Linear Equations
- Solving Systems of Linear Equations
- Trade and Cash Discounts
- Multiple Rates of Discount
- Payment Terms and Cash Discounts
- Markup
- Markdown
- Simple Interest
- Equivalent Values
- Compound Interest
- Equivalent Values in Compound Interest
- Nominal and Effective Interest Rates
- Ordinary Simple Annuities
- Ordinary General Annuities

- Hospitality MathToggle Dropdown
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Order of Operations
- Basic Laws
- Prime Factorisation and Least Common Multiple
- Fractions
- Decimals
- Percents
- Exponents
- Units of Measures
- Fluid Ounces and Ounces
- Metric Measures
- Yield Percent
- Recipe Size Conversion
- Ingredient Ratios
- Food-Service Industry Costs

- Engineering MathToggle Dropdown
- Basic Laws
- Order of Operations
- Prime Factorisation and Least Common Multiple
- Fractions
- Exponents
- Radicals
- Reducing Radicals
- Factoring
- Rearranging Formulas
- Solving Linear Equations
- Areas and Volumes of Figures
- Congruence and Similarity
- Functions
- Domain and Range of Functions
- Basics of Graphing
- Transformations
- Graphing Linear Functions
- Graphing Quadratic Functions
- Solving Systems of Linear Equations
- Solving Quadratic Equations
- Solving Higher Degree Equations
- Trigonometry
- Graphing Trigonometric Functions
- Graphing Circles and Ellipses
- Exponential and Logarithmic Functions
- Complex Numbers
- Number Bases in Computer Arithmetic
- Linear Algebra
- Calculus
- Set Theory
- Modular Numbers and Cryptography
- Statistics
- Problem Solving Strategies

- Upgrading / Pre-HealthToggle Dropdown
- Basic Laws
- Place Value in Decimal Number Systems
- Decimals
- Significant Digits
- Prime Factorisation and Least Common Multiple
- Fractions
- Percents
- Ratios and Proportions
- Exponents
- Radicals
- Reducing Radicals
- Metric Conversions
- Factoring
- Solving Linear Equations
- Solving Quadratic Equations
- Functions
- Domain and Range of Functions
- Polynomial Long Division
- Exponential and Logarithmic Functions
- Statistics

- Nursing MathToggle Dropdown
- Arithmetic Operations
- Order of Operations
- Place Value in Decimal Number Systems
- Decimals
- Fractions
- Percents
- Ratios and Proportions
- Nutrition Labels
- Interpreting Drug Orders
- Oral Dosages
- Dosage Based on Size of the Patient
- Parenteral Dosages
- Intravenous (IV) Administration
- Infusion Rates for Intravenous Piggyback (IVPB) Bag
- General Dosage Rounding Rules

- Transportation Math
- PhysicsToggle Dropdown
- Architectural MathToggle Dropdown

You may have experienced two types of measurement systems such as the **metric **and **imperial **systems. The imperial system consist of units such as *inches*, *miles*, or *pounds*. The metric system consists of units such as *metres*, *grams*, or *litres*.

The metric system is based on powers of 10 and each power has a prefix.

Prefixes |
|||
---|---|---|---|

Prefix Name | Prefix Symbol | Exponent of 10 | Value |

zetta | Z | \(10^{21}\) | Sextillion |

exa | E | \(10^{18}\) | Quintillion |

peta | P | \(10^{15}\) | Quadrillion |

tera | T | \(10^{12}\) | Trillion |

giga | G | \(10^{9}\) | Billion |

mega | M | \(10^{6}\) | Million |

kilo | k | \(10^{3}\) | Thousand |

hecto | h | \(10^{2}\) | Hundred |

deka | da | \(10^{1}\) | Ten |

\(10^{0}\) | One | ||

deci | d | \(10^{-1}\) | Tenth |

centi | c | \(10^{-2}\) | Hundredth |

milli | m | \(10^{-3}\) | Thousandth |

micro | \(\mu\) | \(10^{-6}\) | Millionth |

nano | n | \(10^{-9}\) | Billionth |

pico | p | \(10^{-12}\) | Trillionth |

femto | f | \(10^{-15}\) | Quadrillionth |

atto | a | \(10^{-18}\) | Quintillionth |

zepto | z | \(10^{-21}\) | Sextillionth |

A method of moving left or right depending on the operation of divide or multiply can be used to move the decimal point operation with powers of 10.

**Steps of the Practical Method:**

- Ask if the unit in the answer is
**larger or smaller**than the unit given?- If the unit you want to get to is
*larger*than the given: the decimal will move to the left, creating a smaller number. - If the unit you want to get to is
*smaller*than the given: the decimal will move to the right, creating a larger number.

- If the unit you want to get to is
- How much larger or smaller is the unit in the answer? This determines how many times the decimal moves.

**Examples:**

1. Convert \(25\, L\) to \(kL\).

- The unit we want to get to is larger then the given, so the decimal will move to the left.
- kilo compared to the ones unit differ by 3 places, so we move to the left 3 places.

\[25\, L = 0.025\, kL\]

2. Convert \(1.8\, cg\) to \(\mu g\).

- The unit we want to get to is smaller then the given, so the decimal will move to the right.
- micro compared to the centi unit differ by 4 places, so we move to the right 4 places.

\[1.8\, cg = 18,000\, \mu g\]

We can make a conversion by multiplying the given ratio that cancels the unwanted units and moves the decimal the correct number of places.

**Examples:**

1. Convert \(3.8\, hm\) to cm.

\[3.8\,hm \times \frac{10,000\,cm}{1\,hm} = 38,000\,cm\]

2. Convert \(9.01\, kL\) to daL.

\[9.01\,kL \times \frac{100\,daL}{1\,kL} = 901\,daL\]

Designed by Matthew Cheung. This work is licensed under a Creative Commons Attribution 4.0 International License.

- Last Updated: Aug 1, 2024 10:46 AM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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