6.4(F) Understanding Fractions and Percents

Percents are always out of?

• 1000

• 100

• 10

• 1

Answer explanation

Percents represent a part of a whole, specifically out of 100. This means that when we say 50%, we are referring to 50 out of 100. Therefore, the correct answer is 100.

Convert 25% to a decimal.

• 0.25

• 0.025

• 2.5

• 25

Answer explanation

To convert a percentage to a decimal, divide by 100. Thus, 25% becomes 25 ÷ 100 = 0.25. Therefore, the correct answer is 0.25.

One quarter is what as a percent?

• 25%

• 1/4

• 25.

• .25

Answer explanation

One quarter is equivalent to 1 out of 4 parts. To convert this fraction to a percent, multiply by 100, resulting in 25%. Therefore, the correct answer is 25%.

Calculate 25% of 80.

• 20

• 80

• 48

• 95

Answer explanation

To calculate 25% of 80, multiply 80 by 0.25. This gives 80 * 0.25 = 20. Therefore, the correct answer is 20.

If a shirt costs $40 and is on sale for 25% off, how much is the discount?

• $10

• $20

• $30

• $5

Answer explanation

To find the discount, calculate 25% of $40. This is done by multiplying 40 by 0.25, which equals $10. Therefore, the discount is $10.

Ivy bought a new pair of basketball shoes that were on sale for 25% off. If the regular price of the shoes was $75.95, what is the amount of discount?

• $50.95

• $56.96

• $18.99

• $75.70

Answer explanation

To find the discount, calculate 25% of $75.95. This is done by multiplying $75.95 by 0.25, which equals $18.99. Therefore, the amount of discount is $18.99.

The price of a computer is 25% off the original price of $800. What is the new cost of the computer?

• $660

• $540

• $600

• $1,000

Answer explanation

To find the new cost, calculate 25% of $800, which is $200. Subtract this from the original price: $800 - $200 = $600. Therefore, the new cost of the computer is $600.

What percent of the grid is shaded?

• 65%

• 75%

• 25%

• 80%

Answer explanation

To find the shaded percentage, divide the shaded area by the total area. If 75% of the grid is shaded, it means that 75 out of every 100 parts of the grid are covered, confirming that the correct answer is 75%.

What percent of the circle is shaded?

• 25%

• 50%

• 75%

• 100%

Answer explanation

The shaded area represents 3 out of 4 equal sections of the circle, which is 75%. Therefore, 75% of the circle is shaded.

Write the percent of the grid that is shaded.

• 20%

• 10%

• 40%

• 30%

Answer explanation

To find the shaded percent, count the shaded squares and divide by the total squares. If 3 out of 10 squares are shaded, the calculation is (3/10) * 100 = 30%. Thus, the correct answer is 30%.