Nova Scotia
13. Solve problems by applying proportional reasoning and unit analysis
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Chapter 13.5
Mastering Percents, Fractions, and Decimals: Your Complete Guide
Unlock the power of number representations! Learn to effortlessly convert between percents, fractions, and decimals. Boost your problem-solving skills and excel in real-world math applications.
What You'll Learn
Convert percents to fractions by placing over 100 and simplifying
Convert percents to decimals by dividing by 100 or shifting the decimal two places left
Convert fractions to decimals by performing division (long division or calculator)
Convert decimals to percents by multiplying by 100 or shifting the decimal two places right
Convert decimals to fractions using place value (tenths, hundredths, thousandths)
Recognize that fractions, decimals, and percents are equivalent representations of the same values
What You'll Practice
1
Converting percentages like 145% and 54.8% to simplified fractions
2
Converting mixed number percents (3 and 2/5%) to fractions and decimals
3
Transforming decimals like 0.8 and 2.32 into percent and fraction forms
4
Performing long division to convert fractions into decimal form
5
Working with repeating decimals and expressing them with bar notation
Why This Matters
Converting between percents, fractions, and decimals is essential for understanding proportions in everyday lifefrom calculating discounts and sales tax to interpreting statistics and financial data. Mastering these conversions builds number sense and prepares you for algebra, geometry, and real-world problem solving.
Before You Start — Make Sure You Can:
This Unit Includes
15 Video lessons
Practice exercises
Learning resources
Skills
Percents
Fractions
Decimals
Conversion
Place Value
Long Division
Simplifying Fractions
Repeating Decimals
NS Curriculum Aligned
