Curriculum Resources
Take learning to the next level and transform the way you teach with a vast library of ready-to-use, standards-aligned, adaptable curriculum resources. The resources listed below are either available with an Online Learning Subscription which allows you to instruct, assess and track student performance or as individual hands-on classroom resources which can be purchased. Choose from Multimedia Lessons, Curriculum Mastery Games, Flip Charts, Visual Learning Guides, Flash Cards, Vocabulary Cards, and Curriculum Modules available on our online store. PREMIUM ONLINE LEARNING SUBSCRIPTION OPTIONS
  • Select By Standard
  • BROWSE CURRICULUM
    • General Science
    • Life Science / Biology
    • Human Body
    • Earth Science
    • Physical Science
    • Chemistry
    • Math
    • Language Arts
    • Social Studies
 

Multiple Representation of Rational Numbers

Mathematics, Grade 6

Back
 

Study Guide

Provides a quick overview of the topic selected!

Flash Cards

Practice and review the topic selected with illustrated flash cards!

Quiz

Assess students’ understanding of the topic selected!

Worksheets

Print illustrated worksheets!

Games

Engage students with interactive games.

Study Guide Multiple Representation of Rational Numbers Mathematics, Grade 6

1
/
3
What Are Multiple Representations of Rational Numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents. The different representations for any given rational number are all equivalent: 3/10 = .30 = 30% 4/5 = .80 = 80% The purpose for which the ratio is being used will determine the form. o He ate 3/5 of the pizza. o The interest rate of .27 on a bank loan is very high. o Only 42% of the class passed the test. How to calculate and write multiple representations of rational numbers: Fractions are numbers that represent parts of a region or a set. They are written as ratios. o 1/5 = 1 part of a set of 5 o 2/7 = 2 parts of a set of 7 Decimals are fractions with a denominator of 100 and written with a decimal point. o 2/5 = 40/100 or .40 o 6/10 = 60/100 or .60 Percents are the numerator of a fraction with a denominator of 100 and written with a percent % sign. o 44/100 = 44% o 87/100 = 87% To calculate the different representations, think “equivalent fractions.” © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
If ½ = 2/4 = 25/50 = 50/100, then ½ also equal .50 or 50% o 50% of the class passed the test. If there are 20 students, only 10 passed. o They painted 50% of the house today, in other words ½ of the painting is done. o 50 cents is written as $.50 which is the same as ½ of a dollar. Some fractions cannot be changed into fractions with 100 as the denominator. For instance 1/3 cannot become n/100 because 3 does not divide evenly into 100. We can choose the number closest to 100 ÷ 3 in order to calculate a percent. Any fraction can be changed to a percent that is approximate by dividing the numerator by the denominator. For instance, 3/7 would be approximately 22%. o 1/3 is about 33% o 1/7 is about 14% o 5/9 is approximately 56% o 21/37 is approximately 57% You will see fractions such as 1/2, 2/3, and ¾ in recipes. All references to money or coins use decimal representations: $.45 (45 cents), $.75 (75 cents). Percents are used in newspaper articles which discuss parts of groups. For instance, you might read: “After the hurricane, 90% of the city was without electricity.” Choose the representation that best suits the context. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Try This! 4/20 = n/100 n = _____ 15/25 = n/100 n= _____ 65/100 = _____% 76/100 = _____% The decimal representation for 51/100 is __________. The decimal representation for 43/50 is __________. The fraction 6/9 is approximately _____%. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
© Copyright 2012-2018 NewPath Learning. All Rights Reserved. Privacy Notice * Terms of Use