Percentage Word Problems

Front

What is a percentage?

Back

A percentage is a fraction expressed as a part of 100. It represents how much of one quantity is present in relation to another quantity.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 45% of 70, calculate 70 * 0.45.

Tags

CCSS.6.RP.A.3C

Front

What is the formula to find what percent one number is of another?

Back

The formula to find what percent one number (A) is of another number (B) is: (A / B) * 100.

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, 45% becomes 0.45.

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same concept of a part of a whole. They can be converted into each other.

Front

How do you find the total amount if you know the percentage and the part?

Back

To find the total amount, divide the part by the percentage (in decimal form). For example, if 24 is 48% of a number, the total is 24 / 0.48.

Tags

CCSS.6.RP.A.3C

Front

What is the formula for calculating sales tax?

Back

The formula for calculating sales tax is: Sales Tax = Purchase Amount * Sales Tax Rate.

Tags

CCSS.6.RP.A.3D

Front

How do you determine the original price before tax if you know the total price and the tax rate?

Back

To find the original price before tax, divide the total price by (1 + tax rate). For example, if the total is $69.67 and the tax rate is 9%, the original price is $69.67 / 1.09.

Tags

CCSS.6.RP.A.3C

Front

What is the significance of the term 'of' in percentage problems?

Back

In percentage problems, 'of' typically indicates multiplication. For example, '45% of 70' means 0.45 * 70.

Tags

CCSS.6.RP.A.3C

Front

How do you solve a word problem involving percentages?

Back

To solve a word problem involving percentages, identify the known values, determine what is being asked, and apply the appropriate percentage formula.

Tags

CCSS.6.RP.A.3C