Section A Section A Checkpoint

Problem 1

Find the exact side length of a square, in units, if its area in square units is:

  1.  49

  2. 23\frac23

  3. 481\frac{4}{81}

  4. 0.25

  5. 1.29

  6. 57

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Solution

  1. 7

  2. 23\sqrt{\frac23}

  3. 29\frac29

  4. 0.5

  5. 1.29\sqrt{1.29}

  6. 57\sqrt{57}

Problem 2

The numbers xx, yy, and zz are positive where x2=5x^2=5, y2=23y^2=23, and z2=64z^2=64.

Plot xx, yy, and zz on the number line.

A number line that shows the integers from negative 3 to 9

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Solution

Problem 3

Decide whether each number in this list is rational or irrational.

  1. 0.13‾0.\overline{13}

  2. - 81\text-\,\sqrt{81}

  3. 227\frac{22}{7}

  4. 10\sqrt{10}

  5. -5.867\text- 5.867

  6. 42\sqrt{42}

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Solution
  1. Rational
  2. Rational
  3. Rational
  4. Irrational
  5. Rational
  6. Irrational