Review Percent: Tape Diagrams & Double Number Line

Front

What is 100% of a quantity?

Back

100% of a quantity is the whole amount of that quantity. For example, if a candy package originally contains 50 ounces, then 100% of that package is 50 ounces.

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How do you calculate a percentage decrease?

Back

To calculate a percentage decrease, multiply the original amount by the percentage decrease (as a decimal) and subtract that from the original amount. For example, a 20% decrease from 50 ounces is calculated as 50 - (50 * 0.20) = 40 ounces.

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What does it mean to increase a quantity by a percentage?

Back

To increase a quantity by a percentage, multiply the original amount by the percentage increase (as a decimal) and add that to the original amount. For example, increasing 36 cookies by 50% means 36 + (36 * 0.50) = 54 cookies.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to show the relationship between quantities. It helps in understanding addition, subtraction, multiplication, and division of numbers.

Front

What does a double number line represent?

Back

A double number line is a visual tool that shows two related sets of numbers, helping to illustrate relationships between them, such as ratios or percentages.

Front

How do you find the markdown amount when given a discount percentage?

Back

To find the markdown amount, multiply the original price by the discount percentage (as a decimal). For example, for a table costing $85 with a 35% discount, the markdown is 85 * 0.35 = $29.75.

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What is the new price after applying a discount?

Back

The new price after applying a discount is calculated by subtracting the markdown amount from the original price. For example, if the original price is $85 and the markdown is $29.75, the new price is 85 - 29.75 = $55.25.

Front

What does it mean if a tape diagram shows a decrease?

Back

If a tape diagram shows a decrease, it visually represents a reduction in quantity, indicating that the new amount is less than the original amount.

Front

How do you calculate the total amount after a percentage increase?

Back

To calculate the total amount after a percentage increase, multiply the original amount by the percentage increase (as a decimal) and add it to the original amount. For example, for an increase of 50% on 36 cookies, the total is 36 + (36 * 0.50) = 54 cookies.

Front

What is the formula for finding a percentage of a number?

Back

The formula for finding a percentage of a number is: (percentage/100) * number. For example, to find 20% of 50, calculate (20/100) * 50 = 10.