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# Standard #: MAFS.4.NF.3.6 (Archived Standard)

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Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

### General Information

Subject Area: Mathematics
Domain-Subdomain: Number and Operations - Fractions
Cluster: Understand decimal notation for fractions, and compare decimal fractions. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

### Test Item Specifications

N/A

Assessment Limits :
Denominators are limited to 10 and 100. Decimal notation is limited to tenths and hundredths. Items may contain decimals or fractions greater than 1 and/or mixed numbers
Calculator :

No

Context :

No context

### Sample Test Items (2)

 Test Item # Question Difficulty Type Sample Item 1 Select all the fractions that are equivalent to 0.8. N/A MS: Multiselect Sample Item 2 What is the value of  in decimal form? N/A EE: Equation Editor

#### Related Courses

 Course Number1111 Course Title222 5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) 5020110: STEM Lab Grade 4 (Specifically in versions: 2016 - 2022, 2022 and beyond (current)) 5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current)) 5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

#### Educational Games

 Name Description Fraction Quiz Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit. Decimal and Fraction This interactive Flash applet has students match fractions with their equivalent one- or two-place decimals. Students have a chance to correct errors until all matches are made.

#### Formative Assessments

 Name Description Using Benchmark Decimals on a Number Line Students are asked to use benchmark decimals to place four fractions on a number line. Fractions to Decimals Students are given four fractions and asked to write each in decimal form. Using Benchmark Fractions on a Number Line Students are asked to use benchmark fractions to place four decimals on a number line. Decimals to Fractions Students are given four decimals and asked to write each as a fraction.

#### Original Student Tutorials

 Name Description Return to Deciland: Locating Decimals on a Number Line Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial. Deci Land Escape Help Rich escape Deci Land by learning how to write decimals that are related to fractions with denominators of 10 and 100 in this interactive tutorial.

 Name Description How Many Tenths and Hundredths? The purpose of this task is for students to finish the equations to make true statements. Parts (a) and (b) have the same solution, which emphasizes that the order in which we add doesn't matter (because addition is commutative), while parts (c) and (d) emphasize that the position of a digit in a decimal number is critical. The student must really think to encode the quantity in positional notation. In parts (e), (f), and (g), the base-ten units in 14 hundredths are bundled in different ways. In part (e), "hundredths" are thought of as units: 14 things = 10 things + 4 things. Part (h) addresses the notion of equivalence between hundredths and tenths. Expanded Fractions and Decimals The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways. Comparing and contrasting the two solutions shown below shows why decimal notation can be confusing. The first solution shows the briefest way to represent each number, and the second solution makes all the zeros explicit. Dimes and Pennies The purpose of this task is to help students gain a better understanding of fractions through the use of dimes and pennies.

#### Tutorials

 Name Description Decimals as Words In this Khan Academy video decimals are written and spoken in words. Decimals and Fractions from Grid and Number-Line Representations The Khan Academy video uses grid diagrams and number-line representations to say and write equivalent decimals and fractions. Grid Representations of Decimals The Khan Academy video illustrates how to determine and write the decimal represented by shaded grids. Introduction to Decimals This tutorial for student audiences will provide a basic introduction to decimals. The tutorial presents a decimal as another way to represent a fraction. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer gaining an orange circle and a wrong answer graying out. Some "Try This" sections will read the decimal to the students as well.

#### Virtual Manipulative

 Name Description Fraction Models An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.

#### Original Student Tutorials

 Name Description Return to Deciland: Locating Decimals on a Number Line: Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial. Deci Land Escape: Help Rich escape Deci Land by learning how to write decimals that are related to fractions with denominators of 10 and 100 in this interactive tutorial.

#### Educational Games

 Name Description Fraction Quiz: Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit. Decimal and Fraction: This interactive Flash applet has students match fractions with their equivalent one- or two-place decimals. Students have a chance to correct errors until all matches are made.

 Name Description How Many Tenths and Hundredths?: The purpose of this task is for students to finish the equations to make true statements. Parts (a) and (b) have the same solution, which emphasizes that the order in which we add doesn't matter (because addition is commutative), while parts (c) and (d) emphasize that the position of a digit in a decimal number is critical. The student must really think to encode the quantity in positional notation. In parts (e), (f), and (g), the base-ten units in 14 hundredths are bundled in different ways. In part (e), "hundredths" are thought of as units: 14 things = 10 things + 4 things. Part (h) addresses the notion of equivalence between hundredths and tenths. Expanded Fractions and Decimals: The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways. Comparing and contrasting the two solutions shown below shows why decimal notation can be confusing. The first solution shows the briefest way to represent each number, and the second solution makes all the zeros explicit. Dimes and Pennies: The purpose of this task is to help students gain a better understanding of fractions through the use of dimes and pennies.

#### Tutorials

 Name Description Decimals as Words: In this Khan Academy video decimals are written and spoken in words. Decimals and Fractions from Grid and Number-Line Representations: The Khan Academy video uses grid diagrams and number-line representations to say and write equivalent decimals and fractions. Grid Representations of Decimals: The Khan Academy video illustrates how to determine and write the decimal represented by shaded grids. Introduction to Decimals: This tutorial for student audiences will provide a basic introduction to decimals. The tutorial presents a decimal as another way to represent a fraction. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer gaining an orange circle and a wrong answer graying out. Some "Try This" sections will read the decimal to the students as well.