Podcast
Questions and Answers
To convert a fraction to a decimal, what mathematical operation is performed?
To convert a fraction to a decimal, what mathematical operation is performed?
- Divide the denominator by the numerator.
- Multiply the numerator by the denominator.
- Add the numerator and denominator.
- Divide the numerator by the denominator. (correct)
What is the result of multiplying a decimal by 100?
What is the result of multiplying a decimal by 100?
- The decimal is converted to a percentage. (correct)
- The decimal is converted to a ratio.
- The decimal remains unchanged.
- The decimal is converted to a fraction.
Before comparing values expressed as fractions, decimals, and percentages, what is the most important preliminary step?
Before comparing values expressed as fractions, decimals, and percentages, what is the most important preliminary step?
- Add all the values together.
- Multiply all the values by 100.
- Convert all values to the same form. (correct)
- Leave the values in their original forms.
What formula is used to express one number as a percentage of another?
What formula is used to express one number as a percentage of another?
The price of a book increases from $25 to $30. Using the percentage change formula, what is the percentage increase?
The price of a book increases from $25 to $30. Using the percentage change formula, what is the percentage increase?
If you want to increase a value by X%, what multiplier should you use?
If you want to increase a value by X%, what multiplier should you use?
If you want to decrease a value by X%, which multiplier should be used?
If you want to decrease a value by X%, which multiplier should be used?
Using the unitary method, if 20% of an amount is $60, what is 1% of the same amount?
Using the unitary method, if 20% of an amount is $60, what is 1% of the same amount?
What does 'P' represent in the compound interest formula: $A = P(1 + r/100)^t$?
What does 'P' represent in the compound interest formula: $A = P(1 + r/100)^t$?
Suppose a car initially worth $10,000 depreciates by 20% each year. What is its value after 2 years?
Suppose a car initially worth $10,000 depreciates by 20% each year. What is its value after 2 years?
To simplify a ratio with decimals, such as 0.2 : 0.8, what is the first step?
To simplify a ratio with decimals, such as 0.2 : 0.8, what is the first step?
Which of the following describes a unit ratio?
Which of the following describes a unit ratio?
If a total quantity is divided according to a given ratio, what is needed to calculate each share?
If a total quantity is divided according to a given ratio, what is needed to calculate each share?
In a recipe, the ratio of sugar to flour is 1:3. If the recipe requires 2 cups of sugar, how much flour is needed?
In a recipe, the ratio of sugar to flour is 1:3. If the recipe requires 2 cups of sugar, how much flour is needed?
What is 0.45 as a percentage?
What is 0.45 as a percentage?
Express 60% as a simplified fraction.
Express 60% as a simplified fraction.
A store marks up a shirt that originally cost $40 by 25%. How much does the shirt now cost?
A store marks up a shirt that originally cost $40 by 25%. How much does the shirt now cost?
If $1,000 is invested at an annual interest rate of 10% compounded annually, what will be the amount after 2 years?
If $1,000 is invested at an annual interest rate of 10% compounded annually, what will be the amount after 2 years?
In a company, the ratio of male to female employees is 3:2. If there are 120 employees in total, how many are male?
In a company, the ratio of male to female employees is 3:2. If there are 120 employees in total, how many are male?
A baker needs to scale up a recipe. The original recipe uses 2 cups of sugar and makes 24 cookies. If the baker wants to make 60 cookies, how much sugar is needed?
A baker needs to scale up a recipe. The original recipe uses 2 cups of sugar and makes 24 cookies. If the baker wants to make 60 cookies, how much sugar is needed?
Flashcards
Fractions to Decimals
Fractions to Decimals
Divide the numerator by the denominator to convert a fraction to a decimal.
Decimals to Percentages
Decimals to Percentages
Multiply the decimal by 100 to convert a decimal to a percentage.
Percentages to Fractions
Percentages to Fractions
Write the percentage over 100 and simplify the fraction.
Comparing Proportions
Comparing Proportions
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Percentage Formula
Percentage Formula
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Percentage Change Formula
Percentage Change Formula
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Multiplier for Percentage Changes
Multiplier for Percentage Changes
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Unitary Method
Unitary Method
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Compound Interest Formula
Compound Interest Formula
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Repeated Percentage Change
Repeated Percentage Change
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Simplifying Ratios with Decimals
Simplifying Ratios with Decimals
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Unit Ratio
Unit Ratio
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Dividing in a Given Ratio
Dividing in a Given Ratio
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Study Notes
- Study notes on converting between fractions, decimals, and percentages, comparing proportions, percentage changes, ratios, and proportions
Converting Between Fractions, Decimals, and Percentages
- To convert fractions to decimals, divide the numerator by the denominator
- To convert decimals to percentages, multiply by 100
- To convert percentages to fractions, write the percentage over 100 and simplify
Comparing Proportions
- To compare proportions using fractions, decimals, and percentages it is best to convert all values to the same form before comparing
Expressing One Number as a Percentage of Another
- The formula for expressing one number as a percentage of another is: Percentage = (Part / Whole) x 100
Calculating Percentage Increase or Decrease
- The formula for calculating percentage change is: Percentage Change = ((New Value - Old Value) / Old Value) x 100
Using a Multiplier for Percentage Changes
- To increase a value by X%, multiply by 1 + (X/100)
- To decrease a value by X%, multiply by 1 - (X/100)
Unitary Method for Percentage Problems
- The unitary method for percentage problems requires you to find 1% first, then scale up to the desired percentage
Compound Interest Formula
- The formula for calculating compound interest is A = P(1 + r/100)^t
- A = Final amount
- P = Principal (starting money)
- r = Interest rate
- t = Time in years
Repeated Percentage Change
- To calculate repeated percentage change, use the multiplier repeatedly for each period
Simplifying and Using Ratios with Decimals
- To simplify ratios with decimals, multiply by 10, 100, etc., to remove decimals, then simplify the ratio
Writing and Comparing Unit Ratios
- A unit ratio compares a quantity to 1
Dividing a Quantity in a Given Ratio
- Use the formula: Share = (Total Quantity) x (Ratio Part / Sum of Ratio Parts)
Solving Word Problems with Ratio and Proportion
- Set up a proportion based on the given ratio and solve for the unknown quantity to solve word problems involving ratio and proportion
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