Percentages

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions.

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 30% of 50, calculate 50 x 0.30 = 15.

Front

What does it mean if you ride 160% of your planned trip?

Back

It means you rode 60% more than your planned distance. In this case, you rode 16 miles instead of the planned 10 miles.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) x 100 = 25%.

Front

What is the formula to find the total amount when given a percentage?

Back

The formula is: Total Amount = Part / (Percentage / 100). For example, if 25% of a total is 50, then Total Amount = 50 / (25 / 100) = 200.

Front

If 20% of a number is 45, how do you find the original number?

Back

To find the original number, use the formula: Original Number = Part / (Percentage / 100). Here, Original Number = 45 / (20 / 100) = 225.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve problems involving fractions and percentages.

Front

How do you find 30% of 50 using a tape diagram?

Back

Draw a rectangle divided into 10 equal parts. Shade 3 parts to represent 30%. Each part represents 5, so 3 parts = 15.

Front

What is the relationship between percentages and decimals?

Back

Percentages can be converted to decimals by dividing by 100. For example, 25% = 25 ÷ 100 = 0.25.

Front

If a group has 120 boys and the total is 270, how many girls are there?

Back

To find the number of girls, subtract the number of boys from the total: 270 - 120 = 150 girls.