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Chapter 1: Real Numbers; Lesson 1:Rational and Irrational Numbers

Guided Practice

Write each fraction or mixed number as a decimal.

• Question 1

\begin{align} \frac{2}{5}= \end{align}

• Question 2

\begin{align} \frac{8}{9}= \end{align}

• Question 3

\begin{align} 3\frac{3}{4}= \end{align}

• Question 4

\begin{align} \frac{7}{10}= \end{align}

• Question 5

\begin{align} 2\frac{3}{8}= \end{align}

• Question 6

\begin{align} \frac{5}{6}= \end{align}

Write each decimal as a fraction or mixed number in simplest form

• Question 10

$$0.\overline4$$

• Question 11

$$0.\overline{26}$$

• Question 12

$$0.\overline{325}$$

Solve each equation for $$x$$

• Question 13

$$x^2=144$$

•  $$\pm$$
• Question 14

\begin{align} x^2=\frac{25}{289} \end{align}

• $$\pm$$
• Question 15

$$x^3=216$$

Approximate each irrational number to two decimal places without a calculator.

•  $$\sqrt5\approx$$
•  $$\sqrt3\approx$$
•  $$\sqrt{10}\approx$$
• Question 19

What is the difference between rational and irrational numbers?

• Type below:

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