Warm Up Problem At baseball practice, Neil caught 23 out of 25 hits in the outfield. Which of the following is not another way of expressing 23 out of 25? a. 23 25 b. 23% c. 0.92 d. 92%

Percents Greater than 100% and Less than 1% Lesson 2-4

Objectives I can convert a percent greater than 100% into decimal and a mixed number. I can convert a percent less than 1% into a decimal and a fraction.

2 is in the thousandths place. Example 1 Write 0.2% as a decimal and as a fraction. Decimal: Move the decimal 2 places to left. = 0.002 Fraction: Change decimal to fraction. 2 is in the thousandths place. 2 1,000 or 1 500

Got It? a. Write 0.25% as a decimal and a fraction.

Example 2 Write 170% as a mixed number in simplest form and as a decimal. Mixed Number: 170% = 𝟏𝟕𝟎 𝟏𝟎𝟎 = 17 10 = 1 7 10 Decimal: Move the decimal 2 places to left. = 1.7

Got It? b. Write 325% as a decimal and as a mixed number.

Example 3 - Notes Jimmy’s savings increased by 250%. Write 250% as a mixed number in simplest form and as a decimal. Fraction: 250% = 250 100 = 250 10 = 2 1 2 Decimal: Move the decimal 2 places to left. = 2.5

Got It? c. Write 530% as a decimal and as a mixed number in simplest form.

Example 4 Write 1 1 4 as a percent. 1 4 is one of those fractions to have memorized…it equals 0.25. So, 1 1 4 is 125%.

Got It? d. 3 2 5 as a percent.

Move the decimal point 2 places to the right. Example 5 Write 1.68 as a percent. Move the decimal point 2 places to the right. 1.68 = 168%

Move the decimal point 2 places to the right. Example 6 Write 0.0075 as a percent. Move the decimal point 2 places to the right. 0.0075 = 0.75%

Got It? e. Write 1.92 as a percent. f. Write 0.0094 as a percent.

The falcon’s speed is 210% of the cheetah’s. Example 7 The cheetah is the fastest land mammal in the world. The peregrine falcon is the fastest bird in the world. Its speed is 2.1 times as fast as the cheetah. Write this number as a percent. 2.1 = 210% The falcon’s speed is 210% of the cheetah’s.

Got It? The slowest land mammal is the sloth. Its speed is about 0.0016 that of a cheetah. Write this number as a percent.