Identify the following numbers as rational or irrational:
4
- 4
\dfrac{2}{3}
\dfrac{17}{4}
4.435
\left(\sqrt{7}\right)^{2}
\sqrt{35}
\sqrt{81}
\sqrt[3]{23}
\sqrt[3]{64}
For the following roots:
Evaluate, correct to two decimal places when applicable.
State whether the solution is an exact value or an approximation.
Write the following fractions as decimals:
\dfrac{1}{4}
\dfrac{7}{10}
For each of the following, fill in the boxes with the missing numbers:
Write each of the following as a fully simplified fraction:
Explain how to write 12.009 as a fully simplified fraction.
Consider the number \sqrt{22}.
Complete the inequality with two consecutive perfect square numbers that 22 lies between:
⬚ < 22 < ⬚
Complete the inequality with two consecutive integers that \sqrt{22} lies between:
⬚ < \sqrt{22} < ⬚
Consider the number \sqrt{59}.
Complete the inequality with two consecutive perfect square numbers that 59 lies between:
⬚ < 59 < ⬚
Complete the inequality with two consecutive integers that \sqrt{59} lies between:
⬚ < \sqrt{59} < ⬚Determine the two consecutive integers that will complete the following inequalities:
For each of the following pairs of numbers, select the number with the larger value.
\sqrt{27} or \sqrt{22}
\sqrt{50} or \sqrt{46}
\sqrt{20} or 5
\sqrt{15} or 3
State the integer that lies between \sqrt{12} and \sqrt{22}.
Which one of the following has a value between 10 and 11?
State the integer that \sqrt{52} is closest to.
Bob has a square-shaped pool with an area of 59 \text{ m}^2. What is the approximate length of each side of his pool to the nearest meter?
Sophia wants to create a square photo frame that has an area of 22 \text{ cm}^2.
What is the approximate length of each side of the photo frame to the nearest centimeter?
Hence find the approximate length of the material (to the nearest centimeter) she would need to create the frame?