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

- Nursing MathToggle Dropdown
- Transportation MathToggle Dropdown
- PhysicsToggle Dropdown

We start counting the number of significant digit at the leftmost non-zero value of the number and we stop counting after the rightmost number (which could be a 0)

**Examples:**

1) \(50.0\) has three significant digits since we start counting at the 5 and move right

2) \(3.9\) has two significant digits since we start counting at the 3 and move right

3) \(0.00056\) has two significant digits since we start counting at the 5 and move right

4) \(8.432∗10^{-6}\) has four significant digits since we start at the 8 of the \(8.432\) and move right

When a number has zeros before we start counting the significant digits, we call those "leading zeros". It's important to remember that leading zeros are not significant. Example #3 above has 4 leading zeros.

When multiplying or dividing numbers with significant digits, the answer should have the same number of significant digits as the number with the least significant digits being operated on.

**Example: **

Solve \(4.5∗89.3\) with the correct amount of significant digits.

__Solution__

\(4.5∗89.3\=401.85)

However, our answer must have the least amount of significant digits of \(4.5\) and \(89.3\): two significant digits.

We can convert this into scientific notation to have two significant digits:

\(4.0∗10^2\) is our final answer.

When adding or subtracting numbers of significance, we pay less attention to the total significant digits and more attention to the significant digits of only the decimals of the numbers. The decimal significant digits of the answer will have the least significant digits in the decimal portion of the numbers being operated on.

**Example:**

Solve \(89.901−7.1\) with the correct amount of significant digits.

__Solution__

\(89.901−7.1=82.801\)

However, our answer must have the least amount of significant digits just in the decimal place of \(89.901\) and \(7.1\): one significant digit.

Since we need our answer to have only one significant digit in the decimal place, our final answer is \(82.8\).

- Last Updated: Aug 19, 2022 3:18 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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