Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

### Clarifications

**Examples of Opportunities for In-Depth Focus**

The extension of the place value system from whole numbers to decimals is a major intellectual accomplishment involving understanding and skill with base-ten units and fractions.

### 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

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

**Status:**State Board Approved

**Assessed:**Yes

### Test Item Specifications

**Assessment Limits :**

Items may require a comparison of the values of digits across multiple place values, including whole numbers and decimals from millions to thousandths.**Calculator :**No

**Context :**Allowable

### Sample Test Items (4)

**Test Item #:**Sample Item 1**Question:**What is the missing value in the equation shown?

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

**Test Item #:**Sample Item 2**Question:**What is the value of the missing number in the following equation?

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

**Test Item #:**Sample Item 3**Question:**How many times the value of 0.034 is the value of 0.34?

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

**Test Item #:**Sample Item 4**Question:**Which statements about the values 0.034 and 3.40 are true?

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

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Lesson Study Resource Kit

## Original Student Tutorial

## STEM Lessons - Model Eliciting Activity

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.

## MFAS Formative Assessments

Students are asked to find of 500 and are assessed on the use of their knowledge of the base-ten number system.

Given an odometer reading, students are asked to discuss the value of each digit and explain how a digit in one place represents 10 times as much as the same digit to its right, and one-tenth as much as the same digit to its left.

Students are presented with two decimals in the context of a distance word problem and asked to tell how many times longer one distance is than the other.

## Original Student Tutorials Mathematics - Grades K-5

Take flight as you learn to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right with this interactive tutorial.

## Student Resources

## Original Student Tutorial

Take flight as you learn to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right with this interactive tutorial.

Type: Original Student Tutorial