Chapter 2 · Multiplying and dividing by two-digit numbers

Lesson 2.8 · Dividing two-digit or three-digit numbers by tens

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 43–45).

Grade 3 Second Semester Pages 43–45 ECNU Press

Lesson Alignment

How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.

Learning Objectives

Students will be able to:

  1. 01Divide 2- and 3-digit numbers by tens. (Question 1)
  2. 02Use column method with remainder notation. (Question 2)
  3. 03Find greatest digit for inequality bounds. (Question 3)
  4. 04Solve rows-of-pupils division tables. (Question 4)

Common Core Standards

CodeStandard (focus for this lesson)
3.OA.A.4Unknown in division equation.
4.NBT.B.6Divide with remainders (preview).

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
÷ tensPlace-value divideG4 M3
RemainderR notationG3 M1

Core Concepts

Divide by whole tens: $96 \div 60$, $572 \div 80$ with remainder.

Divide by Tens

Think: how many tens fit? $96 \div 60 = 1\ \text{R}\ 36$.

Column ÷

Standard layout: quotient, multiply back, subtract, bring down.

Inequalities

$50 \times (\ ) < 157$ — greatest whole number in the bracket.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
DivisorNumber dividing.
RemainderAmount left after equal groups.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Greatest number in ( )

  • $50\times(3)<157$;\; $70\times(5)<369$;\; $80\times(6)<508$
  • $(7)\times30<231$;\; $(9)\times40<369$;\; $(4)\times90<396$

2. Think carefully

  1. $92\div40=2\cdots12$
  2. $362\div40=9\cdots2$
  3. $75\div20=3\cdots15$
  4. $256\div30=8\cdots16$

3. Column method

  • $96\div60=1\cdots36$;\; $145\div20=7\cdots5$;\; $572\div80=7\cdots12$
  • $360\div70=5\cdots10$;\; $455\div50=9\cdots5$;\; $666\div90=7\cdots36$

4. Number sentences

  1. $16$ (since $961=16\times60+1$)
  2. Difference $304$

5. Application

  1. $5$ per group, $17$ left
  2. Rows $10,20,30,40,60$ $\rightarrow$ $72,36,24,18,12$ per row

6. Enhancement

  1. $80$
  2. 1st Xiao Qiang; 3rd Xiao Xin
  3. Dividend $66$
  4. $5\,\text{m}$