Maryland Math 4.NOS.A.2
The Standard
Explain that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g., recognize that 700 ÷ 70 = 10 by applying concepts of place value and division).
Maryland College and Career Ready Standards for Mathematics (2025) · GENERALIZE PLACE VALUE UNDERSTANDING FOR MULTI-DIGIT WHOLE NUMBERS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the value of a digit in a whole number. They explain why the same digit is worth ten times as much when it moves one place left.
What Mastery Looks Like
- A student can show that the 7 in 700 is worth ten times the 7 in 70. They can use a place-value chart or base-ten blocks to explain why 700 ÷ 70 = 10.
Common Misconceptions
- Some students say the 7 is worth 7 in both numbers. Others count zeros without explaining the value of each place, or say moving left adds 10 instead of multiplying by 10.
How to Assess It
- On an exit ticket, ask: “Why is 500 ÷ 50 = 10? Show the value of the 5 in each number and explain your answer.”
Lesson moves
Ways to Teach It
Build 30 and 300 with base-ten blocks, then match each ten to a hundred and compare their values.
Ask, “Why is 800 ÷ 80 equal to 10, not 100?” Have partners explain using a place-value chart.
Partners draw a digit card, place it in the tens and hundreds columns, and earn a point for a correct times-ten equation.
Compare a $40 classroom supply budget with a $400 school supply budget, and write how the value of the 4 changes.
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Printable 4.NOS.A.2 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.A.1
Explain 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...
- 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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