MA.5.NSO.1.1

Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.
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.1: Explore how the value of a digit in a multi-digit number with decimals to the hundredths changes if the digit moves one place to the left. Multi-digit numbers not to exceed 9.99.

Related Resources

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

Formative Assessments

The Error:

Students are asked to analyze a problem in which a decimal number is multiplied by 10 to determine which of two answers is correct and discuss what happens when a decimal is divided by 10.

Type: Formative Assessment

The Odometer:

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.

Type: Formative Assessment

Five-Tenths:

Students are asked to consider how much larger five is than five-tenths.

Type: Formative Assessment

Walking to School:

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.

Type: Formative Assessment

Lesson Plans

Understanding Place Value:

This lesson is designed to help students understand the 10 to 1 relationship among place value positions and the mathematical patterns when calculating place value.

Type: Lesson Plan

"Shift the Place, Shift the Value" - Understanding Adjacent Places in the Base-ten System:

In this lesson students will be challenged to discover the relationship between values of adjacent places in the base-ten system. After an introduction to the concept by the teacher, pairs of students will play a place value game with digit cards, then they will individually complete a written summative assessment.

Type: Lesson Plan

Intro to Multiplying Decimals by 10, 100, 1000:

In this lesson, students are introduced to multiplying decimals by 10, 100, and 1000, in which students begin by creatively solving word problems. Students will analyze the number sentences used to solve the word problems, looking for and recording patterns and discovering that each place value has a value ten times as much as the place to its right, which is why each time a number is multiplied by 10, the digits move one place to the left.

Type: Lesson Plan

MFAS Formative Assessments

Five-Tenths:

Students are asked to consider how much larger five is than five-tenths.

The Error:

Students are asked to analyze a problem in which a decimal number is multiplied by 10 to determine which of two answers is correct and discuss what happens when a decimal is divided by 10.

The Odometer:

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.

Walking to School:

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.

Student Resources

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Parent Resources

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