- Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
- Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

### General Information

**Subject Area:**Mathematics

**Grade:**5

**Domain-Subdomain:**Number and Operations in Base Ten

**Cluster:**Level 2: Basic Application of Skills & Concepts

**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

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

### Test Item Specifications

**Assessment Limits :**

Items may contain decimals to the thousandths with the greatest place value to the millions.**Calculator :**No

**Context :**Allowable

### Sample Test Items (5)

**Test Item #:**Sample Item 1**Question:**What is "two hundred sixty-five thousandths" in decimal form?

**Difficulty:**N/A**Type:**MC: Multiple Choice

**Test Item #:**Sample Item 2**Question:**Fill in circles to select the decimal form for each number name.

**Difficulty:**N/A**Type:**MI: Matching Item

**Test Item #:**Sample Item 3**Question:**A number in expanded form is shown.

What is the number in decimal form?

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

**Test Item #:**Sample Item 4**Question:**Select all the expressions that show 2.059 written in expanded form.

**Difficulty:**N/A**Type:**MS: Multiselect

**Test Item #:**Sample Item 5**Question:**Select all the statements that correctly compare the two numbers.

**Difficulty:**N/A**Type:**MS: Multiselect

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Educational Games

## Formative Assessments

## Lesson Plans

## Original Student Tutorial

## Tutorial

## STEM Lessons - Model Eliciting Activity

In this MEA activity, students will be comparing and contrasting whole and decimal numbers in order to recruit a baseball player(s).

Help CSI determine the best canteen model to use by applying an understanding of comparing decimals.

This is a 5th grade MEA designed to have students compare different types of solar cookers based on temperature, cook time, dimensions, weight, and customer reviews.

In this MEA, students are challenged to choose the snacks that will be in a vending machine in a school. Students will need to multiply and divide whole numbers and decimal numbers as well as compare fractions and decimal numbers. Students will work in groups to solve the problem and write a letter to the client explaining their thinking.

A fire caused by faulty wiring set off a sprinkler system, which damaged a school. The school must be remodeled and the electrical wiring must be replaced. Students will use newspaper accounts to solve the mystery of how the fire happened. Then they become engineers and decide which materials to use to as conductors and which to use as insulators. In order to complete this task, students will learn about insulators and conductors, and practice reading nonfiction text and ordering decimals.

This MEA asks students to assist Ms. Joy Ride who is creating a virtual TV series about extreme roller coasters. They work together to determine which roller coaster is most extreme and should be featured in the first episode. Students are presented with research of five extreme roller coasters and they must use their math skills to convert units of measurements while learning about force and motion.

## MFAS Formative Assessments

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

Students are asked to write numbers involving decimals in both standard form (as base ten numerals) and expanded form.

Students are asked to write the number name (word form) of a number when given the base-ten numeral (standard form).

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

Students are read aloud three numbers and are asked to write the numbers using decimal notation. Then students are shown a number containing a decimal and asked to read it aloud.

## Original Student Tutorials Mathematics - Grades K-5

By the end of this tutorial, you will be able to read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.

## Student Resources

## Original Student Tutorial

By the end of this tutorial, you will be able to read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.

Type: Original Student Tutorial

## Educational 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

## Tutorial

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

Type: Tutorial