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Multiplying by Multiples of 10

Third graders learn a multiplication superpower — to multiply by 10, 20, 30, and beyond, they just multiply the basic fact and add a zero, so 3 × 40 becomes 12 with a zero: 120.

Grade 3Multiplication50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Multiply by multiples of 10.
  • ✓Use a basic fact plus a zero.
  • ✓Explain why the trick works.
  • ✓Solve bigger products.
Essential Question

You know 3 × 4 = 12. So what is 3 × 40? There’s a quick trick using the fact you already know!

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

Times a Multiple of 10

Project each item and have students solve. The tool shows the basic fact plus a zero — the multiple-of-10 trick.

🔢 Multiply by multiples of 10Try it
Multiply each number by a multiple of 10.
The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — From 4 to 40

5 min

You know 3 × 4 = 12 — so what is 3 × 40?

👩‍🏫 Teacher Moves

  • Show 3 × 4, then 3 × 40.
  • Ask for the connection.
  • Set the goal: multiples of 10.

🎒 Student Actions

  • See both.
  • Find the link.
  • Predict the trick.
2

I Do — Fact Plus a Zero

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Use the basic fact.
  • Add a zero for the ten.
  • Explain place value.

🎒 Student Actions

  • Use the fact.
  • Add a zero.
  • See why.
3

We Do — Solve Together

13 min

Class uses Times a Multiple of 10.

👩‍🏫 Teacher Moves

  • Solve each problem.
  • Find the basic fact.
  • Add the zero.

🎒 Student Actions

  • Solve each.
  • Find the fact.
  • Add a zero.
4

You Do — On Your Own

12 min

Students multiply.

👩‍🏫 Teacher Moves

  • Multiply by 10s.
  • Use basic facts.
  • Explain the trick.

🎒 Student Actions

  • Multiply.
  • Use facts.
  • Explain it.
5

Close — Close

5 min

One product.

👩‍🏫 Teacher Moves

  • Give a × multiple-of-10.
  • Solve it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Solve it.
  • Show the trick.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
3.NBT.3

Multiply one-digit whole numbers by multiples of 10.

CCSS
3.OA.7

Fluently multiply within 100.

CCSS
3.NBT.2

Use place-value understanding to compute.

SMP
MP.7

Use place-value structure to multiply.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Show the fact and the zero.
  • Sentence frame: “___ × ___ = ___, add a zero.”
  • Use base-ten blocks.

Support & Access

IEP / 504
  • Start with × 10.
  • Use known facts.
  • Add the zero together.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Multiply by multiples of 100.
  • Multiply two multiples of 10.
  • Explain with place value.
Materials

What to gather

  • 📽️Projector / board
  • 🧮Base-ten blocks
  • 💻Times a Multiple of 10
  • 📋Fact charts
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

multiple of 1010, 20, 30, 40, and so onmultiplyto add equal groupsproductthe answer to multiplicationbasic facta small multiplication factfactora number being multipliedplace valuewhat a digit is worthzerothe digit that shows tens/hundredstena group of 10
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
What is 4 × 20?
80 (4 × 2 = 8, then add a zero).
QUESTION 2
To find 7 × 30, what basic fact do you use first?
7 × 3 = 21 (then add a zero to get 210).
QUESTION 3
What is 8 × 50?
400 (8 × 5 = 40, then add a zero).

Going deeper? Multiples of 100.

Have students extend the trick to multiples of 100 — like 3 × 400 = 1,200 (3 × 4 = 12, then add two zeros). A printable multiplication sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Multiplying by Multiples of 10Flip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Multiplying by Multiples of 10Quiz
Score: 0
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Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Multiplying by Multiples of 10Print
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: basic fact, factor, multiple of 10, multiply, place value, product, ten, zero
  1. 10, 20, 30, 40, and so on
  2. a number being multiplied
  3. the digit that shows tens/hundreds
  4. a small multiplication fact
  5. the answer to multiplication
  6. a group of 10
  7. what a digit is worth
  8. to add equal groups

Part B · Show what you learned

  1. What is 4 × 20?
  2. To find 7 × 30, what basic fact do you use first?
  3. What is 8 × 50?
Answer key — Part A: 1) multiple of 10 · 2) factor · 3) zero · 4) basic fact · 5) product · 6) ten · 7) place value · 8) multiply
Part B: 1) 80 (4 × 2 = 8, then add a zero). 2) 7 × 3 = 21 (then add a zero to get 210). 3) 400 (8 × 5 = 40, then add a zero).