MAFS.5.NBT.1.4Archived Standard

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Use place value understanding to round decimals to any place.
General Information
Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Number and Operations in Base Ten
Cluster: Level 1: Recall
Cluster: Understand the place value system. (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 Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    Items may contain decimals to the thousandths with the greatest place value to the millions. The least place value a decimal may be rounded to is the hundredths place.
  • Calculator :

    No

  • Context :

    Allowable

Sample Test Items (3)
  • Test Item #: Sample Item 1
  • Question:

    Select all the numbers that round to 4.3 when rounded to the nearest tenth.

     

  • Difficulty: N/A
  • Type: MS: Multiselect
  • Test Item #: Sample Item 3
  • Question:

    This question has two parts.

    An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth.

    Part A. What could be the unknown number?

     

    Part B. What does the unknown number round to when rounded to the nearest whole?

  • Difficulty: N/A
  • Type: EE: Equation Editor

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 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))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Game

Ice Ice Maybe: An Operations Estimation Game:


This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents.

Various levels of difficulty make this game appropriate for multiple age and ability levels.

Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals.

Multiplication/Division: The multiplication and addition of whole numbers.

Percentages: Identify the percentage of a whole number.

Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations.

Type: Educational Game

Formative Assessments

Rounding To The Nearest Whole Number:

Students are given four numbers and asked to round each to the nearest whole number and to explain their reasoning.

Type: Formative Assessment

Rounding To The Thousandths Place:

Students are given four numbers and asked to round each to the nearest thousandth and to explain their reasoning.

 

Note: Three of the numbers are decimals to the ten-thousandths place and one number is to the hundred-thousandths place. If students are not ready for rounding larger decimals to the thousandths place, use an alternate MFAS task that rounds to the hundredths, tenths, or whole number.

Type: Formative Assessment

Rounding To The Tenths Place:

Students are given four numbers and asked to round each to the nearest tenth and to explain their reasoning.

Type: Formative Assessment

Shopping for Produce:

Students are asked to round numbers given in a context to the nearest hundredth.

 

Note: The decimals students are rounding in this task extend past the thousandths place. If students are not ready for rounding larger decimals to the hundredths place, use an alternate MFAS task that rounds to the hundredths, tenths, or whole number.

Type: Formative Assessment

Lesson Plans

Rounding Decimal Numbers - Lesson #3:

This is the final lesson in the Rounding Decimal Numbers Unit and will bring together the mathematical concepts in lesson 1 and 2. This lesson then bridges the computer science coding and mathematical thought process together as students dissect code that rounds decimal numbers as well as building their own code to make rounding an automated process.

Type: Lesson Plan

Rounding Decimal Numbers - Lesson #2:

This is lesson 2 of 3 in the Rounding Decimal Numbers unit. This lesson introduces Traditional Rounding method to determine an estimated value rounded to a specific place value. This lesson bridges the concepts of fractions to decimals and powers of ten as well expanded notation to rounding methods.

This lesson uses flowchart model to describe the method in which the rounding is performed. Rounded numbers are verified using a Scratch activity in this lesson.

Type: Lesson Plan

Beach on a Budget:

Topic Overview:This 5th grade MEA asks students to work in teams to determine from which store they will buy beach equipment for a new beach rental business, after considering several criteria. After the students have created a proposal based on given data, a twist is added which may vary their results.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Which Cell Phone for Mia?:

This engaging MEA requires students to help a 5th grade student decide which cell phone she will ask her parents for as her birthday present. Students must use a chart to analyze information and make conclusions based upon their own ranking system within their cooperative group. They then must write a letter to the student justifying their conclusions.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Currency Craze!:

If I travel to Italy, can I buy a raspberry gelato with a $5.00 bill? Students will understand that other countries use currencies different from the United States, and that when visiting those countries, exchange rates are used to determine the value of the United States dollar (USD). This lesson integrates Mathematics with Social Studies as the students apply their knowledge of decimals and basic operations with their passports for a real-world application.

Type: Lesson Plan

Which Sweets for the Bakery?:

This MEA gives students the opportunity to use real world data to rank proposed product lines from most likely to be profitable to least likely to be profitable. There are two sequential tasks; the second task adds a component of complexity to the original task. Students will apply multiplication and division skills in problem solving, write a procedure with grade-appropriate organization and conventions, and participate in group collaboration to complete this task.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Estimating Decimal Products:

In this lesson, students will learn to estimate decimal products using different strategies to arrive at compatible numbers. They will learn that estimates will vary depending on the strategy chosen and that the closer the compatible numbers are to the actual factors, the closer the estimate will be to the exact answer. Students will also learn that estimation is used to solve problems that don't require exact answers and to check exact answers for reasonableness.

Type: Lesson Plan

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

The 20 Second Game:

This is a game students will love to play to improve their understanding of estimating decimal products and increase speed when finding these estimations. The game can be modified to practice estimating products of whole numbers, quotients of whole numbers, and quotients of decimals.

Type: Lesson Plan

Original Student Tutorial

Rounding Race:

Explore rounding decimals through the thousandths place as you help Tyrese the Turtle train to race the hare in this interactive tutorial.

Type: Original Student Tutorial

Perspectives Video: Teaching Idea

Precision of Measurement:

Classroom activities that teach students precision of measurement.

Type: Perspectives Video: Teaching Idea

STEM Lessons - Model Eliciting Activity

Beach on a Budget:

Topic Overview:This 5th grade MEA asks students to work in teams to determine from which store they will buy beach equipment for a new beach rental business, after considering several criteria. After the students have created a proposal based on given data, a twist is added which may vary their results.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Which Cell Phone for Mia?:

This engaging MEA requires students to help a 5th grade student decide which cell phone she will ask her parents for as her birthday present. Students must use a chart to analyze information and make conclusions based upon their own ranking system within their cooperative group. They then must write a letter to the student justifying their conclusions.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Which Sweets for the Bakery?:

This MEA gives students the opportunity to use real world data to rank proposed product lines from most likely to be profitable to least likely to be profitable. There are two sequential tasks; the second task adds a component of complexity to the original task. Students will apply multiplication and division skills in problem solving, write a procedure with grade-appropriate organization and conventions, and participate in group collaboration to complete this task.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

MFAS Formative Assessments

Rounding To The Nearest Whole Number:

Students are given four numbers and asked to round each to the nearest whole number and to explain their reasoning.

Rounding To The Tenths Place:

Students are given four numbers and asked to round each to the nearest tenth and to explain their reasoning.

Rounding To The Thousandths Place:

Students are given four numbers and asked to round each to the nearest thousandth and to explain their reasoning.

 

Note: Three of the numbers are decimals to the ten-thousandths place and one number is to the hundred-thousandths place. If students are not ready for rounding larger decimals to the thousandths place, use an alternate MFAS task that rounds to the hundredths, tenths, or whole number.

Shopping for Produce:

Students are asked to round numbers given in a context to the nearest hundredth.

 

Note: The decimals students are rounding in this task extend past the thousandths place. If students are not ready for rounding larger decimals to the hundredths place, use an alternate MFAS task that rounds to the hundredths, tenths, or whole number.

Original Student Tutorials Mathematics - Grades K-5

Rounding Race:

Explore rounding decimals through the thousandths place as you help Tyrese the Turtle train to race the hare in this interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

Rounding Race:

Explore rounding decimals through the thousandths place as you help Tyrese the Turtle train to race the hare in this interactive tutorial.

Type: Original Student Tutorial

Educational Game

Ice Ice Maybe: An Operations Estimation Game:


This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents.

Various levels of difficulty make this game appropriate for multiple age and ability levels.

Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals.

Multiplication/Division: The multiplication and addition of whole numbers.

Percentages: Identify the percentage of a whole number.

Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations.

Type: Educational Game

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.