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Powers of 10 & Exponents

Fifth graders learn powers of 10 and exponents — discovering that 10³ means 1,000 (a 1 with three zeros), and that multiplying by a power of 10 simply moves the decimal point.

Grade 5Place Value50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Write powers of 10 with exponents.
  • ✓Find the value of 10ⁿ.
  • ✓Connect exponents to zeros.
  • ✓Multiply by moving the decimal.
Essential Question

10 × 10 × 10 = 1,000. Is there a shorter way to write that? Exponents let us write powers of 10 in a snap — and they make big numbers easy!

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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

Powers of 10

Project this and change the exponent. Watch 10ⁿ grow — the exponent tells you how many zeros, and how far the decimal moves!

🔢 Change the exponent — see the power of 10!Try it
Exponent: 103

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 — A Shorter Way

5 min

10 × 10 × 10 — is there a shorter way to write it?

👩‍🏫 Teacher Moves

  • Show repeated × 10.
  • Ask for a shortcut.
  • Set the goal: powers of 10.

🎒 Student Actions

  • See the repeats.
  • Wonder about a shortcut.
  • Predict exponents.
2

I Do — Exponents & Zeros

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • 10ⁿ = a 1 with n zeros.
  • Read the exponent.
  • Multiply by moving the decimal.

🎒 Student Actions

  • Learn the rule.
  • Read exponents.
  • Move the decimal.
3

We Do — Explore Together

13 min

Class uses Powers of 10.

👩‍🏫 Teacher Moves

  • Change the exponent.
  • Count the zeros.
  • Multiply a number by 10ⁿ.

🎒 Student Actions

  • Set the exponent.
  • Count zeros.
  • Multiply one.
4

You Do — On Your Own

12 min

Students use powers of 10.

👩‍🏫 Teacher Moves

  • Write powers of 10.
  • Find their values.
  • Multiply by moving the decimal.

🎒 Student Actions

  • Write them.
  • Find values.
  • Move the decimal.
5

Close — Close

5 min

One power.

👩‍🏫 Teacher Moves

  • Give a power of 10.
  • Find its value.
  • Hand out the exit ticket.

🎒 Student Actions

  • Find it.
  • Explain it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
5.NBT.2

Explain patterns when multiplying by powers of 10; use whole-number exponents to denote powers of 10.

CCSS
5.NBT.1

Understand each place is 10 times the place to its right.

CCSS
5.NBT.7

Multiply decimals using place-value strategies.

SMP
MP.7

Use place-value structure and exponents.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Show 10ⁿ with zeros.
  • Sentence frame: “10 to the ___ has ___ zeros.”
  • Use a place-value chart.

Support & Access

IEP / 504
  • Start with 10¹ and 10².
  • Count zeros together.
  • Use a chart.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Divide by powers of 10.
  • Use powers of 10 in scientific-like notation.
  • Explain the decimal shift.
Materials

What to gather

  • 📽️Projector / board
  • 🧮Base-ten blocks
  • 💻Powers of 10
  • 📄Place-value charts
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

power of 1010 multiplied by itselfexponenthow many times to multiplybasethe number being multiplied (10)10ⁿten to the nth powerplace valuewhat a digit is worthdecimal pointseparates whole and partmultiplyto scale upzeroshows the size of a power 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 10⁴?
10,000 (a 1 with four zeros).
QUESTION 2
How many zeros does 10⁶ have?
Six.
QUESTION 3
When you multiply by 10³, how many places does the decimal move, and which way?
Three places to the right.

Going deeper? Divide by powers of 10.

Have students explore dividing by powers of 10 and watch the decimal move to the LEFT instead. A printable powers-of-10 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.

🃏 Powers of 10Flip
Card 1
Term
Tap to flip →
Meaning
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Practice · Quiz

Check your understanding

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

📝 Powers of 10Quiz
Score: 0
1 / 6
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.

🖨️ Powers of 10Print
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: 10ⁿ, base, decimal point, exponent, multiply, place value, power of 10, zero
  1. what a digit is worth
  2. how many times to multiply
  3. separates whole and part
  4. 10 multiplied by itself
  5. ten to the nth power
  6. shows the size of a power of 10
  7. the number being multiplied (10)
  8. to scale up

Part B · Show what you learned

  1. What is 10⁴?
  2. How many zeros does 10⁶ have?
  3. When you multiply by 10³, how many places does the decimal move, and which way?
Answer key — Part A: 1) place value · 2) exponent · 3) decimal point · 4) power of 10 · 5) 10ⁿ · 6) zero · 7) base · 8) multiply
Part B: 1) 10,000 (a 1 with four zeros). 2) Six. 3) Three places to the right.