[br][table][tr][td][math]\frac{1}{2}=0.5[/math][/td][td][/td][td][math]\frac{1}{7}=0.142857143[/math][/td][/tr][tr][td][math]\frac{1}{3}=0.3333333[/math][/td][td][/td][td][math]\frac{1}{8}=0.125[/math][/td][/tr][tr][td][math]\frac{1}{4}=0.25[/math][/td][td][/td][td][math]\frac{1}{9}=0.1111111[/math][/td][/tr][tr][td][math]\frac{1}{5}=0.2[/math][/td][td][/td][td][math]\frac{1}{10}=0.1[/math][/td][/tr][tr][td][math]\frac{1}{6}=0.166[/math][/td][td][/td][td][math]\frac{1}{11}=0.5[/math][/td][/tr][/table][br]What do you notice? What do you wonder?
Use [b]long division [/b]to express this fraction as a decimal.[br][br][math]\frac{9}{25}[/math]
Use [b]long division [/b]to express this fraction as a decimal.[br][br][math]\frac{11}{30}[/math]
Use [b]long division [/b]to express this fraction as a decimal.[br][br][math]\frac{4}{11}[/math]
What is similar about your answers to the previous 3 questions? What is different?
Use the decimal representations from your answers above to decide which of these fractions has the greatest value. Explain your reasoning.
One common approximation for [math]\pi[/math] is [math]\frac{22}{7}[/math]. Express this fraction as a decimal. How does this approximation compare to 3.14?
Use the following directions for the next activity:[br][br]Take turns with a partner to match a description with an equation.[br][list=1][*]For each match you find, explain to your partner how you know it’s a match.[/*][*]For each match your partner finds, listen carefully to their explanation, and if you disagree, explain your thinking.[/*][*]When you have agreed on all of the matches, check your answers with the answer key. If there are any errors, discuss why and revise your matches.[/*][/list]
Explain how you know it’s a match.