MA.5.NSO.1.4

Plot, order and compare multi-digit numbers with decimals up to the thousandths.

Examples

Example: The numbers 4.891; 4.918 and 4.198 can be arranged in ascending order as 4.198; 4.891 and 4.918.

Example: 0.15<0.2 because fifteen hundredths is less than twenty hundredths, which is the same as two tenths.

Clarifications

Clarification 1: When comparing numbers, instruction includes using an appropriately scaled number line and using place values of digits.

Clarification 2: Scaled number lines must be provided and can be a representation of any range of numbers. 

Clarification 3: Within this benchmark, the expectation is to use symbols (<, > or =).

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 5
Strand: Number Sense and Operations
Status: State Board Approved

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.
MA.5.NSO.1.AP.4: Plot, order and compare multi-digit numbers with decimals up to the hundredths. Multi-digit numbers not to exceed 9.99.

Related Resources

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

Educational Game

Flower Power: An Ordering of Rational Numbers Game:


This is a fun and interactive game that helps students practice ordering rational numbers, including decimals, fractions, and percents. You are planting and harvesting flowers for cash. Allow the bee to pollinate, and you can multiply your crops and cash rewards!

Type: Educational Game

Formative Assessments

Comparing Decimals:

In the context of two word problems students are asked to compare decimals using the less than, equal to, and greater than symbols.

Type: Formative Assessment

Decimals in Word and Expanded Form:

Students compare pairs of decimals, one in word form to one in expanded form.

Type: Formative Assessment

Lesson Plans

Blessings in a Bag!!:

In this MEA, the students will help a charitable organization select 5 snack items from a list to provide nutritious snacks for children in low-income communities.  Students will practice using the four operations to solve real-world problems and use decimal notation to make calculations involving money.  Additionally, they will be asked to compare multi-digit numbers to the thousandths.

Type: Lesson Plan

To Oregon by Wagon:

Students work in teams to plan the contents of a covered wagon for a family relocating from Missouri to Oregon. Students must calculate the weight and cost of the wagon by adding, subtracting, and multiplying with decimals.

Type: Lesson Plan

Where's Your Place In the Kingdom of Decimals?:

This lesson has activities to review place value to the thousandths place. The teacher creates a kingdom of decimals in the classroom and opposing knights duel with their digits while reviewing the meaning of place value.

Type: Lesson Plan

Batting a Thousand(th):

This 5E lesson emphasizes the framework created in the lesson "Decimals Have a Point!" (ID: 30766) in which students learned to manipulate and understand the relationships between decimal place values through the thousandths. Students will have the opportunity to reference the pictorial model (see attached) to compare two decimals up to thousandths. This lesson is designed to be done in a 60 minute block.

Type: Lesson Plan

Tacking on Decimals:

This lesson involves writing, reading and comparing decimals. It is a review of place value, and a Swat game at the end for skills practice.

Type: Lesson Plan

Original Student Tutorial

Fishing for Decimals: Comparing Decimals:

Help out at the fishing tournament while comparing decimals through the thousandths place in this interactive tutorial.

Type: Original Student Tutorial

Tutorials

Comparing Two Decimals with a Visual Model:

In this Khan Academy tutorial video two decimals are compared using grid diagrams.

Type: Tutorial

Comparing Two Decimals to Thousandths:

This Khan Academy tutorial video presents using place-value to compare two decimals expressed to thousandths.

Type: Tutorial

STEM Lessons - Model Eliciting Activity

Blessings in a Bag!!:

In this MEA, the students will help a charitable organization select 5 snack items from a list to provide nutritious snacks for children in low-income communities.  Students will practice using the four operations to solve real-world problems and use decimal notation to make calculations involving money.  Additionally, they will be asked to compare multi-digit numbers to the thousandths.

To Oregon by Wagon:

Students work in teams to plan the contents of a covered wagon for a family relocating from Missouri to Oregon. Students must calculate the weight and cost of the wagon by adding, subtracting, and multiplying with decimals.

MFAS Formative Assessments

Comparing Decimals:

In the context of two word problems students are asked to compare decimals using the less than, equal to, and greater than symbols.

Decimals in Word and Expanded Form:

Students compare pairs of decimals, one in word form to one in expanded form.

Original Student Tutorials Mathematics - Grades K-5

Fishing for Decimals: Comparing Decimals:

Help out at the fishing tournament while comparing decimals through the thousandths place in this interactive tutorial.

Student Resources

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

Original Student Tutorial

Fishing for Decimals: Comparing Decimals:

Help out at the fishing tournament while comparing decimals through the thousandths place in this interactive tutorial.

Type: Original Student Tutorial

Educational Game

Flower Power: An Ordering of Rational Numbers Game:


This is a fun and interactive game that helps students practice ordering rational numbers, including decimals, fractions, and percents. You are planting and harvesting flowers for cash. Allow the bee to pollinate, and you can multiply your crops and cash rewards!

Type: Educational Game

Tutorials

Comparing Two Decimals with a Visual Model:

In this Khan Academy tutorial video two decimals are compared using grid diagrams.

Type: Tutorial

Comparing Two Decimals to Thousandths:

This Khan Academy tutorial video presents using place-value to compare two decimals expressed to thousandths.

Type: Tutorial

Parent Resources

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