Name :___________________________ Date:________________________ Period:_________________ Rational Numbers & Conversions Shoe Shopping You are shopping for some new shoes. You want to buy a pair of Nike Jordan tennis shoes. A commercial for footlocker says that they taking ¾ off the original price of all Nike shoes. An advertisement for Shoe Department says their Nike shoes are 70% off the original price. Which is the better buy? Guiding Questions -What is the question asking (what is the meaning of the question)? -What are some key words and numbers needed to solving this problem? -What are some skills we need to solve this problem? Write your response (3 minutes) -How would you solve this problem?______________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Objective: I will _______________________________________________________________________ _____________________________________________________________________________________ Number Line -∞ -5 -4 -3 -2 -1 ________________________________________ 0 1 2 3 4 5 6 ∞ __________________________________________ Name :___________________________ Date:________________________ Period:_________________ ∞ means ____________________________________________ List numbers between 1 and 2 on the number line List numbers between 1.3 and 1.4 _______________________________________ ___________________________________ List Numbers between 3/5 and 4/5 (Fractions, Decimals, and Percents) _______________________________________________________________________________ What can we concluded? _______________________________________________________________ ___________________________________________________________________________________ What are Rational Numbers? ___________________________________________________________ Examples of Rational numbers: ___________________________________________________________________________________ Why are 2 and 3.4 considered rational numbers? ____________________________________________________________________________________ Let’s practice Directions: Convert all decimals and whole numbers to decimals to fractions (whiteboards) .5 = 57= 5 ¾= -3= .25= 7 1/3= Percent is ____________________________________________________________________________. That means 50% is 50 per (or out of) 100 2% is 2 per 100 100% is 100 per 100 ( or one whole or 1) 312% is 312 per 100 (Percents can be more than 100. This means that they are more than one whole) Since each percent means per 100 it can be written as a fraction Name :___________________________ Date:________________________ Period:_________________ Ex. 17%= 17/ 100 20%= 20/100= (Can this be simplified, yes) 1/5 200%= 200/100 (why is the denominator 100? Because percents have 100 as the denominator. This does not change because a larger number is in the numerator) Change the percent to fraction You try 315%= 25%= How do I change a percent to a decimal? First way is to move the decimal two places to the left? Why do you move the decimal two times to the left? If you look at place value, two place behind the decimal is considered the hundredths place. Remember that percents are part of a whole (or part per 100). Change percent to decimal Example 15%= 125%= 25.34%= How to change fractions to percents? Use proportions. Proportion is two equivalent fractions Example What percent is equivalent to the fraction ¾ ? ¾ =x/100 What percent is equivalent to the fraction 5/12? Work it out - 5.12% (Stand up) Why? - 4.6% (Clap Once) why? - 41.6 Repeating% (Stomp Once) Why? Last Problem: A paint store gives a discount to 12 of every 100 customers. What percent of the customers did not receive a discount? _______________________ Show your Work: Name :___________________________ Date:________________________ Period:_________________ Rational Number & Conversion Homework Convert Percent to Fraction 79 % = 62.1 % = Convert Fraction to Percent 9 40 = 7 16= Convert Fraction to Decimal 11 16 = 9 20 = Convert Decimal to Fraction 1.75 = 0.83 = Convert Percent to Decimal 13 % = 132 % = Convert Decimal to Percent 0.68 = 1.2 = 13. Three-eighths of the walkers completed a marathon in less than three hours. 3 ? Explain your answer and show your work. 8 ________________________Why?_________________________________________ _____________________________________________________________________ ______________________________________________________________________ Which decimal is equivalent to 14. Johnny plays basketball with his friends every day. He makes 15 of every 20 shots. What percent of the shots does he miss? Explain your answer and show your work. Name :___________________________ Date:________________________ Period:_________________ Rational Number & Conversion Worksheet Convert Percent to Fraction 63 % = 25.2 % = Convert Fraction to Percent 2 40 = 7 10= Convert Fraction to Decimal 11 12 = 3 20 = Convert Decimal to Fraction 2.25 = 0.13 = Convert Percent to Decimal 15 % = 234 % = Convert Decimal to Percent 0.98 = 2.8 = 13 13 of 47. Write the decimal and percent that are equivalent to ? 20 20 Explain your answer and show your work. Harold finds Jenny was taking her nine weeks mathematics test. One of the questions ask “What percent is equivalent to the fraction 𝟑 𝟓 ?” She said that the answer was 6%. Do you think she is correct? Explain your answer? Which shows 7.35 written as a mixed number? Explain your answer and show your work. 3 F. 7 35 G. 7 20 H. 7 100 J. 75 7 7 3