Math Chapter 5 & 6 Flashcards

Questions and Answers

How do you find percent notation from a fraction?

First turn it into a decimal. Divide the top number by the bottom one. Move the decimal point two places to the right. Add the % symbol. Check if the answer looks reasonable.

How do you find a fraction notation from a percent?

Use a calculator. Enter the number, press 2nd, PRB, = to get a decimal. Then enter 2nd, PRB, = again to get the fraction.

What fraction does 0.33333333333 (repeating) represent?

1/3

What fraction does 0.66666666666 (repeating) represent?

2/3 Signup and view all the answers

How do you write ratios as fractions?

The first number goes on top and the second number goes on the bottom, e.g., 1 to 7 = 1/7. Signup and view all the answers

Which of the following is a rule of ratios? (Select all that apply)

All proper fractions must be in reduced form Signup and view all the answers

What is the difference between a ratio and a rate?

A ratio compares like quantities, while a rate compares different quantities. Signup and view all the answers

How do you convert whole numbers in ratios to fractions?

Enter as a fraction, then hit =. If you get a whole number, change it to a fraction by putting it over 1 (e.g., 4 = 4/1). Signup and view all the answers

What should you do with decimals in ratios?

Divide the numerator by the denominator to get a decimal, then hit 2nd PRB to change it to a fraction. Signup and view all the answers

How do you write a proportion?

A proportion is two equal ratios, for example, 5/6 = 10/12. Signup and view all the answers

What is the method to determine if you have a proportion?

Cross multiply. If the numbers are the same, you have a proportion. Signup and view all the answers

What does percent mean?

Percent means per (for every) cent (100). Signup and view all the answers

How do you convert percents to decimals?

Move the decimal two places to the left and drop the % symbol. Signup and view all the answers

How do you convert decimals to percents?

Move the decimal two places to the right and add the % symbol. Signup and view all the answers

How do you convert a percent to a fraction?

Write the percent over 100 (e.g., 75% = 75/100) and reduce as needed. Signup and view all the answers

Study Notes

Finding Percent Notation from a Fraction

Convert fraction to decimal by dividing numerator by denominator.
Move decimal point two places right to convert to percent.
Add the % symbol after moving the decimal.

Finding Fraction Notation from a Percent

Use a calculator to convert percent to decimal.
Access fraction using the appropriate calculator function.

Converting Repeating Decimal 0.333... to a Fraction

Memorize that 0.333... equals 1/3.

Converting Repeating Decimal 0.666... to a Fraction

Memorize that 0.666... equals 2/3.

Writing Ratios as Fractions

Place the first number as the numerator and the second number as the denominator.
Example: 1 to 7 becomes 1/7.
Both fractions and decimals can be used in ratio notation.

Ratio Rules

Avoid decimals and mixed numbers in ratios.
Ensure all proper fractions are in reduced form.
Ratios should not include any units.

Difference Between Ratio and Rate

Ratios compare similar quantities.
Rates compare different types of quantities.

Ratios in Simplest Form (Whole Numbers)

To simplify whole number ratios, enter as a fraction then hit equals.
Convert whole numbers to fractions by placing them over 1.

Ratios in Simplest Form (Decimals)

Divide the numerator by the denominator for decimal ratios.
Use calculator functions to convert mixed numerals to improper fractions.

Ratios in Simplest Form (Fractions)

Input fractions into a calculator using the proper keys and divide them.
Use calculator functions to convert mixed numerals to improper fractions.

Keywords for Rates

Phrases like "for every" or "per" indicate rate.
Include units in the resultant answer, e.g., 60 oz/3000 sq ft.

Determining Unit Pricing

Calculate unit price by dividing total cost by the number of items.
Round the answer to three decimal places and include units.

Understanding Proportions

Proportions consist of two equal ratios (or fractions).
Example: 5/6 is equal to 10/12.

Writing Proportions

Include units for both numerator and denominator, abbreviations are acceptable.
Example: 12 rubies / 6 diamonds.

Checking if a Proportion Exists

Cross multiply the ratios; if products are equal, a proportion exists.

Finding Missing Numbers in Proportions

Set up an equation with the given ratios.
Cross multiply to simplify and solve for the unknown variable.

Proportion in Word Problems

Identify key phrases like "corresponds to."
Write appropriate ratios and set up the equation with a variable.

Working with Similar Shapes

Compare corresponding sides from different shapes and set up ratios.
Use cross multiplication to solve for unknowns, addressing one variable at a time.

Understanding Percent

"Percent" combines "per" (for every) and "cent" (meaning 100).

Converting Percents to Decimals

Move the decimal point two places left and remove the % symbol.

Converting Decimals to Percents

Move the decimal point two places right and add the % symbol.

Converting Percent to Fraction

Express percent as a fraction over 100, then simplify.
Alternatively, convert using a calculator's function for fractions.

Fraction Summary

Information on how to work with fractions was not completed, indicating an opportunity for further exploration.

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Description

Test your understanding of converting between fractions and percents with these flashcards from Math Chapters 5 and 6. Each card includes definitions and processes to help you grasp the concepts thoroughly. Perfect for quick review or test preparation.