Savvas 7th Grade Topic 3

Front

What is the formula to calculate a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

How do you calculate the total cost including tax?

Back

To calculate the total cost including tax, multiply the original price by the tax rate (in decimal form) and then add that amount to the original price. For example, if a meal costs $22.50 and the tax is 9%, the total cost is $22.50 + ($22.50 * 0.09) = $24.53.

Front

What does it mean to find a percentage of a total?

Back

Finding a percentage of a total means determining how much a certain percentage represents out of the whole. For example, if you read 65% of a 220-page book, you have read 0.65 * 220 = 143 pages.

Front

How do you calculate a discount on an item?

Back

To calculate a discount, multiply the original price by the discount rate (in decimal form) and subtract that amount from the original price. For example, if an item costs $36.80 and is 40% off, the discount is $36.80 * 0.40 = $14.72, so the sale price is $36.80 - $14.72 = $22.08.

Front

What is the relationship between height and distance in a long jump?

Back

In a long jump, the distance jumped can be expressed as a percentage of the jumper's height. For example, if a person can jump 195% of their height, and their height is 50 inches, the jump distance is 50 * 1.95 = 97.5 inches.

Front

How do you find the total height of a mountain if you know the distance hiked and the percentage of the way up?

Back

To find the total height of a mountain, divide the distance hiked by the percentage (in decimal form). For example, if someone hikes 190.5 meters and is 62% of the way up, the total height is 190.5 / 0.62 = 307 meters.

Front

What is the formula for calculating the percentage of a part compared to a whole?

Back

The formula is (part/whole) * 100%. For example, if you have read 143 pages of a 220-page book, the percentage read is (143/220) * 100% = 65%.

Front

What does '40% off' mean in terms of pricing?

Back

'40% off' means that the price of an item is reduced by 40% of its original price. For example, if an item costs $50, a 40% discount means you save $20, making the new price $30.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% as a decimal is 25/100 = 0.25.

Front

What is the significance of rounding in measurements?

Back

Rounding is used to simplify numbers to make them easier to work with or understand. For example, if a measurement is 307.4 meters, rounding to the nearest whole meter gives 307 meters.