Lesson 15: Infinite Decimal Expansions | Unit 8: Pythagorean Theorem and Irrational Numbers

Open Ended

How are the numbers $$0.444$$ and $$0.\overline{4}$$ the same? Provide a detailed explanation.

Open Ended

How are the numbers $$0.444$$ and $$0.\overline{4}$$ different? Provide a detailed explanation.

Multiple Choice

What is the decimal representation of the fraction $$\frac{5}{9}$$ ?

• 0.5̅
• 0.55
• 0.6
• 0.4

Multiple Choice

Write the fraction $$\frac{5}{4}$$ as a decimal.

• 2.25
• 0.75
• 1.50
• 1.25

Multiple Choice

Write the fraction $$\frac{48}{99}$$ as a decimal.

• 0.4949...
• 0.5
• 0.3333...
• 0.484848...

Multiple Choice

What is the decimal representation of the fraction $$\frac{5}{99}$$ ?

• 0.05
• 0.50
• 0.05̅
• 0.555

Multiple Choice

Write the fraction $$\frac{7}{100}$$ as a decimal.

• 0.07
• 0.7
• 0.007
• 1.07

Multiple Choice

What is the decimal representation of the fraction $$\frac{53}{90}$$ ?

• 0.588888...
• 0.7
• 0.6
• 0.5

Multiple Choice

Write the decimal $$0.\overline{7}$$ as a fraction.

• 1/2
• 3/4
• 5/6
• 7/9

Multiple Choice

Write the decimal $$0.\overline{2}$$ as a fraction.

• 2/9
• 1/4
• 3/10
• 5/8