Unit 1 Test - Real Numbers

Write 0.\overline{8} as a fraction

Select all sets to which the value 0 belongs

Select all sets to which the value \sqrt{24} belongs

Select all sets to which the value 0.\overline{8} belongs

Select all sets to which the value -\frac{5}{6} belongs

Select all sets to which the value 4 belongs

Which point is closest to \sqrt{29} on the number line?

Evaluate: \sqrt[3]{343}

Evaluate: \sqrt{196}

Is the set of numbers {3, \sqrt{8}, \sqrt{11}, 4} ordered from least to greatest? Explain

(Sentence Stems:

"Yes, because..."

"No, because..."

Tito is installing a new kitchen floor. The kitchen is a square and has an area of 169 square feet. What is the length of one side of Tito's kitchen?

The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden? How do you know?

Can a number be both rational and irrational? Explain and use examples to justify your answer.

Estimate \sqrt[3]{110} to the nearest integer. Explain the process you used.

Can you find the square root of a negative number in the real number system? For example, can you have \sqrt{-9}? Explain your reasoning.