Maryland Math 3.NOS.A.1
Standard Cluster
Apply and extend place value understanding to whole numbers within 10,000. Read and write whole numbers using base-ten numerals, number names, and expanded form. Compose and decompose whole numbers. Estimate quantities by reasoning about their location on a number line, their relationship to benchmark numbers, and rounding to nearest 10 or 100. Compare two whole numbers by reasoning about the values of the digits and the location of the numbers on a number line. Record the results of comparisons with the symbols >, =, and <.
Maryland College and Career Ready Standards for Mathematics (2025) · UNDERSTAND PLACE VALUE.
Cluster contents
Standards in This Cluster
3.NOS.A.1 is a cluster heading. These are the individual standards under it.
- 3.NOS.A.1.a
Read and write whole numbers using base-ten numerals, number names, and expanded form.
- 3.NOS.A.1.b
Compose and decompose whole numbers.
- 3.NOS.A.1.c
Estimate quantities by reasoning about their location on a number line, their relationship to benchmark numbers, and rounding to nearest 10 or 100.
- 3.NOS.A.1.d
Compare two whole numbers by reasoning about the values of the digits and the location of the numbers on a number line. Record the results of comparisons with t...
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students read and write numbers to 10,000 in digits, words, and expanded form. They break numbers into place value parts, estimate their positions on a number line, and round to the nearest 10 or 100. They compare numbers using digit values, number lines, and >, <, or =.
What Mastery Looks Like
- Given 3,472, a student writes its number name and 3,000 + 400 + 70 + 2, then shows it as 34 hundreds and 72 ones. They place it between 3,400 and 3,500, round it to 3,470 and 3,500, and write 3,472 > 3,427.
Common Misconceptions
- Students may read 4,052 as four thousand five hundred two, treating the 5 as hundreds. They may claim 4,098 > 4,108 by comparing only the last two digits. They may round 3,450 down to 3,400 instead of up to 3,500.
How to Assess It
- Exit ticket: Write 4,052 in words and expanded form, then show it as 3 thousands plus hundreds, tens, and ones. Mark 4,052 and 4,108 on a number line from 4,000 to 4,200, round 4,052 to the nearest 10 and 100, and compare the two numbers with a symbol.
Lesson moves
Ways to Teach It
Use place value disks to build 3,472, trade one hundred for ten tens, and record both decompositions.
Draw a number line from 4,000 to 4,200 for 4,098 and 4,108, then explain which is greater using digit values.
Roll four dice twice to make two four-digit numbers; place them on a 0 to 10,000 line and compare with >, <, or =.
Compare monthly library checkout totals of 3,860 and 4,140 books; round each to the nearest hundred and estimate how many more books were borrowed.
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Printable 3.NOS.A.1 Worksheet

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Related Standards
- 4.NOS.A.1
Apply and extend place value understanding to multi-digit whole numbers within 1,000,000.
- 5.NOS.B.6
Apply and extend previous understanding of addition and subtraction of whole numbers to add and subtract decimals to hundredths.
- 4.NOS.B.4
Extend place value understanding and basic facts to multiply a multi-digit whole number by a multiple of ten.
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