Chapter 4 · Dividing by a one-digit number
Lesson 4.1 · Dividing whole tens and whole hundreds
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 62–64).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Divide whole tens and hundreds by a one-digit number using place-value reasoning.
- 02Write number sentences from equal-sharing language.
- 03Solve multi-step money and book-sharing applications.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.2 | Interpret whole-number quotients. |
| 3.OA.A.3 | Multiply/divide within 100 to solve word problems. |
| 3.OA.B.5 | Apply properties of operations. |
| 3.OA.B.6 | Understand division as unknown-factor. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.OA.D.8 | Two-step word problems. |
| 3.NBT.A.3 | *(related)* Place-value strategies with multiples of 10. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Patterns | ÷ tens/hundreds | G3 M1 / M3 |
| Applications | Equal share stories | G3 M1 |
Core Concepts
Use place value: divide the non-zero part, then place zeros correctly.
Tens / Hundreds Pattern
$$80 \div 4 = 20,\quad 160 \div 4 = 40,\quad 200 \div 4 = 50$$
Think: $8 \div 4 = 2$ tens → $80 \div 4 = 20$.
Inverse of Multiplication
“50 times what number is 350?” → $350 \div 50 = 7$.
Applications
- TV prices: $7500 \div 3$.
- Books shared among grades/classes (two-step).
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Dividend | The number being divided. |
| Divisor | The number you divide by. |
| Quotient | The result of division. |
| Remainder | What is left after equal groups are made. |
| Relationship | dividend = divisor × quotient + remainder |
| Whole tens / hundreds | Multiples of 10 / 100. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Let’s calculate
- $8\div4=2$,\; $80\div4=20$;\; $16\div4=4$,\; $160\div4=40$;\; $32\div4=8$,\; $320\div4=80$;\; $20\div4=5$,\; $200\div4=50$
- $9\div3=3$,\; $90\div3=30$,\; $900\div3=300$;\; $8\div2=4$,\; $80\div2=40$,\; $800\div2=400$;\; $5\div5=1$,\; $50\div5=10$,\; $500\div5=100$;\; $10\div5=2$,\; $100\div5=20$,\; $1000\div5=200$
2. Fill in the brackets
- $(8)\times60=480$;\; $480\div60=(8)$;\; $480\div(8)=60$
- $(8)\times70=560$;\; $560\div70=(8)$;\; $560\div(8)=70$
- $80\times(9)=720$;\; $720\div80=(9)$;\; $720\div(9)=80$
3. Use your knowledge creatively
- $400\div50=8$,\; $400\div8=50$;\; $210\div7=30$,\; $210\div30=7$;\; $540\div90=6$,\; $540\div6=90$;\; $40\div2=20$,\; $40\div20=2$;\; $300\div50=6$,\; $300\div6=50$
- $120\div30=4$,\; $360\div60=6$;\; $250\div50=5$,\; $630\div90=7$;\; $150\div30=5$,\; $490\div70=7$;\; $810\div90=9$,\; $450\div90=5$;\; $3600\div40=90$,\; $1600\div20=80$
4. Multiple choice
- D (not sure)
- C (about $50$ kg)
- B (not enough; $28\times3=84<90$)
5. Write the number sentences and calculate
- $640\div8=80$
- $350\div50=7$
6. Application problems
- $7500\div3=2500$ yuan
- $240\times(4+1)=1200$ litres
- $650+250=900$;\; $900\div6=150$ books per grade;\; $150\div5=30$ books per class
- Small cup $20$ g;\; big cup $40$ g
7. Enhancement
$\triangle=3$,\; $\square=20$,\; $\bigcirc=9$