# ALEX Classroom Resource

## Place Value: Writing a Number in Expanded Form

Classroom Resource Information

Title:

Place Value: Writing a Number in Expanded Form

URL:

https://aptv.pbslearningmedia.org/resource/ik0y39rjbgq/place-value-3-khan-ik0y39rjbgq/

Content Source:

PBS
Type: Learning Activity

Overview:

To make the "expanded" form of a number, break it down to its ones, tens, hundreds, and other place values. Understanding how to break numbers down assist students in understanding various problem-solving strategies. This resource provides videos and practice problems that explore this skill.

Content Standard(s):
 Mathematics MA2019 (2019) Grade: 4 7. Read and write multi-digit whole numbers using standard form, word form, and expanded form. Unpacked Content Evidence Of Student Attainment:Students: When given a number in one form (base-ten numerals, words, expanded form), identify the number in another form. Note: Expectations are limited to whole numbers less than or equal to 1,000,000.Teacher Vocabulary:Base-ten numerals Expanded form Expanded notation Standard form Word form Place value Thousands period Ones periodKnowledge:Students know: the relationship among places in a number and place values.Skills:Students are able to: Read numbers 1 to 1,000,000 based on place value understanding. Write numbers using base-ten numerals. Write numbers using expanded notation. Write numbers in word form.Understanding:Students understand that: The same quantity can be represented with mathematical models, words, and expanded form based on the place value of the digits. The value of a digit in a multi-digit number depends on the place value position it holds.Diverse Learning Needs: Essential Skills:Learning Objectives: M.4.7.1: Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits using >, =, and < symbols to record the results of comparisons. M.4.7.2: Read and write numbers to 1000 using base-ten numerals, number names, and expanded form. M.4.7.3: Convert a number written in expanded notation to standard form. Prior Knowledge Skills:Define greater than, less than and equal to. Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. Arrange two-digit numbers in order from greatest to least or least to greatest. Identify zero as a place holder in two-digit and three-digit numbers. Model using >, =, and < symbols to record the results of comparisons of two two-digit numbers. Select numbers on a number line that are more than, less than or equal to a specified number. Match the words greater than, equal to and less than to the symbols >, =, and <. Determine the value of the digits in the ones and tens place. Identify sets with more, less or equal objects. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Number & Operations in Base Ten. Use place value understanding and properties of operations to add and subtract. Alabama Alternate Achievement Standards AAS Standard: M.AAS.4.6 Compare whole number values to 50 using symbols (e.g., <, >, =). Mathematics MA2019 (2019) Grade: 4 8. Use place value understanding to compare two multi-digit numbers using >, =, and < symbols. Unpacked Content Evidence Of Student Attainment:Students: When given numerical comparisons, Identify comparison using <, >, and = symbols to record the results of comparison. Use reasoning based on place value understanding to explain the comparison. Note: Expectations are limited to whole numbers less than or equal to 1,000,000.Teacher Vocabulary:Place value Compare Multi-digitKnowledge:Students know: the relationship among positions of digits in a number and place value.Skills:Students are able to: Compare numbers using place value understanding. Use <, >, or = symbols to record the comparison.Understanding:Students understand that: place value strategies can be used for comparing and ordering numbers.Diverse Learning Needs: Essential Skills:Learning Objectives: M.4.8.1: Use place value understanding to round whole numbers to the nearest 10 or 100. M.4.8.2: Model rounding whole numbers to the nearest 100. M.4.8.3: Round whole numbers from 100 to 999 using whole numbers from 10 to 99. M.4.8.4: Model rounding whole numbers to the nearest 10. M.4.8.5: Round whole numbers from 10 to 99 using whole numbers from 1 to 9. M.4.8.6: Round whole numbers from 1 to 9 and model to show proficiency. Prior Knowledge Skills:Define rounding. Round whole numbers from 100 to 999 using whole numbers from 10 to 99. Model rounding whole numbers to the nearest 100. Round whole numbers from 10 to 99 using whole numbers from 1 to 9. Model rounding whole numbers to the nearest 10. Identify the steps in rounding two- and three-digit numbers. Example: Identify the digit that may change and the number to the right. Round whole numbers from 1 to 9 and model to show proficiency. Understand that the two digits of a two-digit number represent amounts of tens and ones. Match the number in the ones, tens, and hundreds position to a pictorial representation or manipulative of the value.
Tags: expanded form, multidigit numbers