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
- Business Math
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Basic Laws
- Operations on Signed numbers
- Order of Operations
- Some Useful Basic Numeracy
- Decimals
- Fractions
- 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
- 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
- Operations with Numbers
- Prime Factorisation and Least Common Multiple
- Fractions
- Exponents
- 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
- Reducing Radicals
- Metric Conversions
- Factoring
- Solving Linear Equations1
- Solving Quadratic Equations
- 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
- 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 MathToggle Dropdown
- PhysicsToggle Dropdown

Arithmetic Operations include operations such as addition, subtraction, multiplication, and division.

On top of knowing the operation symbol, it is important to know keywords that imply each operation.

Operation |
Keywords |

Addition | sum, sum of, increased by, more than, combined, together, total of, plus, added to, comparatives (e.g., greater than) |

Subtraction | difference, difference between/of, decreased by, minus, less, less than, fewer than, left, left over, smaller than |

Multiplication | product, product of, times, multiplied by, factor of, twice, triple |

Division | quotient, divide, groups of, split, average, ratio of, per |

Also note, that addition and subtraction are inverse operations of each other meaning you can find an equivalent question using the reverse operation.

\(12+20=32\) and \(32-20=12\)

Multiplication and Division are inverses of each other.

**Examples:**

1) Find the sum of \(321\), \(22\), and \(1345\).

*Solution:*

Addition is implied, so \(321+22+1345=1688\)

2) How many groups of eight parts can be found in three hundred thirty-six parts.

*Solution:*

Groups of implies division, so \(336\div 8=42\) groups

3) If there are 96 aircraft maintenance technicians working at each terminal and there are 12 terminals, how many technicians are there?

*Solution*:

There are 96 technicians in each terminal, and we want to multiply by a factor of 12.

\(96\times 12=1152\) technicians

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

- Last Updated: Mar 27, 2023 5:08 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
- Print Page

chat loading...