Manipulating Percents

Percents are ...

• Hard

• Easy

• Boring

• Fractions

Answer explanation

A percent, or percentage, is a special fraction that always has 100 as the denominator

When we say percent it's like saying...

• "out of this world"

• "out of 100"

• "out of control"

• "out of sight"

Answer explanation

A percent, or percentage, is a special fraction that always has 100 as the denominator. The fraction 50/100 can also be read as 50 out of 100.

What percentage of the model is shaded?

• 1%

• 10%

• 99%

• 100%

Answer explanation

10 squares are shaded in the model. There are 100 total squares in the model. The fraction of the model shaded is 10/100. A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 10/100 = 10%.

What percentage of the model is shaded?

• 75%

• 55%

• 25%

• 15%

Answer explanation

25 squares are shaded in the model. There are 100 total squares in the model. The fraction of the model shaded is 25/100. A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 25/100 = 25%.

Which percent is equivalent or equal to the fraction in the picture?

• 89%

• 100%

• 189%

• 11%

Answer explanation

A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 89/100 = 89%.

What percentage of the model is shaded?

• 4%

• 100%

• 50%

• 40%

Answer explanation

40 squares are shaded in the model. There are 100 total squares in the model. The fraction of the model shaded is 40/100. A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 40/100 = 40%.

What percentage of the model is NOT shaded?

• 99%

• 1%

• 10%

• 100%

Answer explanation

99 squares are NOT shaded in the model. There are 100 total squares in the model. The fraction of the model shaded is 99/100. A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 99/100 = 99%.

Which percent is equivalent or equal to the fraction in the picture?

• 57%

• 100%

• 143%

• 43%

Answer explanation

A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 43/100 = 43%.

Which model is shaded to represent 23%?

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Answer explanation

23 squares are shaded in the model. There are 100 total squares in the model. The fraction of the model shaded is 23/100. A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 23/100 = 23%.

Which shaded model does NOT represent 13%?

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Answer explanation

12 squares are shaded in the model. There are 100 total squares in the model. The fraction of the model shaded is 12/100. A percent, or percentage, is a special fraction that always has 100 as the denominator. Because the bottom of a percent is always 100, we don’t even write it. We remove the 100 and put a % instead. 12/100 = 12%.