Maryland Math 4.NOS.B.3.c

Math4th GradeNumber and Operation Sense

The Standard

4.NOS.B.3
Fluently add and subtract multi-digit whole numbers within 1,000,000.
Use a standard algorithm

Maryland College and Career Ready Standards for Mathematics (2025) · USE PLACE VALUE UNDERSTANDING AND PROPERTIES OF OPERATIONS TO PERFORM MULTI-DIGIT ARITHMETIC.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students use long division to divide numbers up to four digits by a one-digit number. They place each quotient digit in the right column and record any remainder.

What Mastery Looks Like

A student solves 835 ÷ 4 as 208 R3, including the zero in the tens place. They check that 4 × 208 + 3 = 835.

Common Misconceptions

Students may skip a zero in the quotient when a place cannot be divided. They may forget to bring down the next digit or leave a remainder larger than the divisor.

How to Assess It

Ask students to solve 835 ÷ 4 using long division and check their answer with multiplication. Look for 208 R3 and the zero in the quotient.

Lesson moves

Ways to Teach It

  1. Have students share 824 with base-ten blocks into four groups, trade blocks as needed, and record each step in long division.

  2. Ask: Why does the quotient of 824 ÷ 4 need a zero in the tens place? Show the step that proves it.

  3. Give partners cards with 936 ÷ 4 and 824 ÷ 4; have them solve, swap work, and check each answer by multiplication.

  4. Ask how many full boxes hold 835 pencils if each box holds four, then have students show the division and label the leftovers.

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