Lesson 1-7: Divide Decimals Reveal Math Grade 6

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Divide Decimals

6.NS.3 Lesson 1-7
My Math Notebook
I Can…

I can divide with decimals by making the divisor a whole number first.

Reveal Math Grade 6 How to Use 6.NS.3
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How to Use This Deck

Present

Click Present or press F11 for fullscreen. Use arrow keys to advance.

👩‍🏫Teacher cues

Blue boxes show exactly what to say, ask, and how long to spend.

👨‍🎓Student work

Text boxes, polls, and drag-sort save automatically in the browser.

📝Notes

Press N or click 📝 in the toolbar for pacing tips and answers.

🎮Activity link

Launch the full HTML activity for independent practice.

🖨️Print

File → Print or the print button for handout copies.

⏱️ Time: 30 sec — read aloud, then advance
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Learning Targets 6.NS.3

🎯 Content Objective / Objetivo de contenido

I can divide with decimals by making the divisor a whole number first.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Agenda 6.NS.3
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Today's Flow

1 Warm-Up 5m
2 Vocabulary 8m
3 I Do 5m
4 We Do 5m
5 Explore 8m
6 Practice 10m
7 Connect 5m
8 Exit Ticket 5m

Total pacing: ~45 min · Progress bar at top tracks your place

Reveal Math Grade 6 · Unit 1 · 1-7
🚀
Lesson Phase

LAUNCH

⏱ ~10 min

Reveal Math Grade 6 Warm-Up Hook 6.NS.3

⏱️ 3 MIN · THINK-PAIR-SHARE

The station has 18.9 kilograms of mineral to divide into 6.3-kilogram pods. Why can't you divide by the decimal 6.3 directly the same way you divide by a whole number?

dividenddivisorquotientdecimal divisionequivalent division
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 CFU 1 6.NS.3
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Check for Understanding #1

✋ CFU · THUMBS
Ask: Can you restate the warm-up question in your own words?
⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Be Curious 6.NS.3
Visual Prompt

Space Station Pod Splitter

The space station has 18.9 kilograms of a rare mineral sample that must be divided equally among 6.3-kilogram storage pods. How many pods can be completely filled?

Filling 6.3 kg pods from 18.9 kg036912151821pod 1pod 2pod 318.9 ÷ 6.3 = 3 pods, each holding 6.3 kg
👁 I Notice...
🔹 What total amount is being divided?
🔹 What is the size of each pod?
💭 I Wonder...
🔹 How do you divide when the divisor is a decimal?
🔹 Can you turn this into a whole number division problem?
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Concept Launch 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
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Concept Launch

💡 How do you divide with decimals?

👩‍🏫 Say: This is the big idea for today. Students should be able to repeat it by the end.

Dividing splits a total into equal groups. When you divide by a decimal, you first make the divisor (the number you divide by) a whole number, so the division is easier.

Key Idea:

Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 I Do — Watch Me 6.NS.3
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 I Do — Key Step 6.NS.3
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 We Do — Together 6.NS.3
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 CFU 2 6.NS.3
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Check for Understanding #2

✋ CFU · THUMBS
Ask: Can you explain what we did in the We Do example?
⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 You Do — Your Turn 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Now it's your turn

👨‍🎓 Students: Work independently first, then check with a partner.
⏱️ Time: 5 min
1Next, you will rewrite decimal divisions as whole-number divisions and solve them on your own.
2Remember: move the point the same number of places in both numbers.
🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗
Reveal Math Grade 6 · Unit 1 · 1-7
📚
Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.NS.3
Term / Término Meaning / Significado Example / Ejemplo Visual
Dividend
Dividendo
The number you are splitting up in a division problem.
El número que estás repartiendo en una división.
In 8.4 ÷ 2.1 = 4, the dividend is 8.4 — it is the total being split
Divisor
Divisor
The number you split by in a division problem.
El número entre el que divides en una división.
In 8.4 ÷ 2.1 = 4, the divisor is 2.1 — it is the size of each group
Quotient
Cociente
The answer when you divide.
La respuesta cuando divides.
In 8.4 ÷ 2.1 = 4, the quotient is 4 — there are 4 groups
Decimal division
División decimal
Dividing with decimals. First make the number you divide by a whole number.
Dividir con decimales. Primero haz entero el número entre el que divides.
8.4 ÷ 2.1 → multiply both by 10 → 84 ÷ 21 = 4
Equivalent division
División equivalente
Multiplying both numbers by 10 or 100 gives the same answer.
Multiplicar ambos números por 10 o 100 da la misma respuesta.
7.56 ÷ 0.12 = 756 ÷ 12 = 63 (both multiplied by 100)
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Which Word? 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
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Which Word Fits?

❓ CLOZE POLL
Ask: Vote A B C D — then defend your choice.

In a division problem, the number being divided is the ___.

Use It In a Sentence

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 CFU 3 6.NS.3
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Check for Understanding #3

✋ CFU · THUMBS
Ask: Use one vocabulary word in a sentence about today's topic.
⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Turn & Talk 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Turn & Talk — Launch

🗣️ TURN & TALK
👩‍🏫 Say: Partner A shares first for 45 seconds, then Partner B.
👨‍🎓 Students: Turn to your elbow partner. Use the sentence stems.
⏱️ Time: 90 sec

The station has 18.9 kilograms of mineral to divide into 6.3-kilogram pods. Why can't you divide by the decimal 6.3 directly the same way you divide by a whole number?

Sentence starters (tap to use):
✍️ I make the divisor 6.3 into a ___ before dividing.Convierto el divisor 6.3 en un ___ antes de dividir.
✍️ Dividing by a decimal directly is hard because ___.Dividir entre un decimal directamente es difícil porque ___.
Stretch further:
➕ I estimate about ___ pods because 18.9 is close to ___.
➕ Dividing roughly 18 by 6 gives ___, so ___.
WORD BANK:
dividenddivisorquotientdecimal divisionequivalent division
90s

👂 Listen For

Students explain you move the decimal in the divisor to make it whole (6.3 to 63) and move the dividend the same way, naming 18.9 as the dividend and 6.3 as the divisor.

Extend: Estimate how many pods can be filled before computing, then justify. About how many 6-kg groups fit in 18.9 kg?

Reveal Math Grade 6 · Unit 1 · 1-7
🔍
Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
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Visual Modeling Workspace

Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.

Filling 6.3 kg pods from 18.9 kg036912151821pod 1pod 2pod 318.9 ÷ 6.3 = 3 pods, each holding 6.3 kg
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Explore 6.NS.3
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Explore Activity

Complete the table. Rewrite each decimal division as a whole-number division by multiplying both the dividend and divisor by 10 (or 100), then solve.

multiplydivideequivalentsame quotientwhole numberdecimal

✍️ Explore Discourse

Why does multiplying both the dividend and divisor by the same power of 10 give you the same quotient?

Multiplying both numbers by ___ doesn't change the quotient because ___.
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Whiteboard CFU 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
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Whiteboard Moment

🖊️ WHITEBOARD CFU
👨‍🎓 Students: On your whiteboard or paper, solve ONE quick problem using today's strategy. Hold it up when done.
⏱️ Time: 2 min

Show your work clearly. Be ready to explain your thinking to a partner.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Discuss Explore 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Turn & Talk — Explore

🗣️ TURN & TALK
👩‍🏫 Say: Partner A shares first for 45 seconds, then Partner B.
👨‍🎓 Students: Turn to your elbow partner. Use the sentence stems.
⏱️ Time: 90 sec

When you divided 18.9 by 6.3, how did you use equivalent division to make the divisor a whole number?

Sentence starters (tap to use):
✍️ I moved both decimal points ___ place, changing it to ___ ÷ ___.Moví ambos puntos decimales ___ lugar, cambiándolo a ___ ÷ ___.
✍️ The quotient is ___.El cociente es ___.
Stretch further:
➕ Moving both points keeps the answer the same because ___.
➕ It is like multiplying the top and bottom of a fraction by ___, which ___.
WORD BANK:
dividenddivisorquotientdecimal divisionequivalent division
90s

👂 Listen For

Students rewrite 18.9 ÷ 6.3 as 189 ÷ 63 = 3, explaining moving both points one place keeps the division equivalent, so 3 pods are filled.

Extend: Why does moving BOTH decimal points the same number of places keep the answer the same? Justify with what you know about equivalent fractions.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Practice A 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Practice Check A

📝 QUICK CHECK
Ask: Give students 1 minute. Cold-call one student to defend their answer.
⏱️ Time: 2 min

A water tank holds 19.2 liters. It is poured into bottles that each hold 1.6 liters. How many bottles can be filled?

✍️ Show Your Work

Explain why your answer is correct using today's vocabulary.

Teacher reveal: 19.2 ÷ 1.6: multiply both by 10 → 192 ÷ 16 = 12 bottles.
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Practice B 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Practice Check B

📝 QUICK CHECK
Ask: Partner discussion first, then vote.
⏱️ Time: 2 min

What is 14.4 ÷ 1.2?

✍️ Show Your Work

Explain why your answer is correct using today's vocabulary.

Teacher reveal: Multiply both by 10: 144 ÷ 12 = 12.
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Ratio Table Builder 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Ratio Table Builder

📊 RATIO TABLE
👨‍🎓 Students: Work at your own pace. Check with a partner before we discuss.
⏱️ Time: 5 min

Fill the ratio table. Each row must be equivalent.

FactorAB
×1
×2
×3

✍️ Justify Your Thinking

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Sort It Out 6.NS.3

Sort: should you multiply both numbers by 10 or by 100 to make the divisor a whole number?

Card Bank — cut or drag these cards:
6.3 ÷ 0.7 → multiply by 10
8.4 ÷ 2.1 → multiply by 10
15.6 ÷ 1.3 → multiply by 10
7.56 ÷ 0.12 → multiply by 100
5.76 ÷ 0.24 → multiply by 100
9.45 ÷ 0.15 → multiply by 100
Multiply Both by 10
Multiply Both by 100
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Error Analysis 6.NS.3
⚠ Find Derek's Mistake

A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.

Student's work — read every step:
1 Problem 7.2 ÷ 0.45
2 Multiply divisor by 10 0.45 × 10 = 4.5
3 Multiply dividend by 10 7.2 × 10 = 72
4 Divide 72 ÷ 4.5 = 16
Which step has the error?
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Choice Board 6.NS.3

Choose ONE option to show what you know — then do it in the workspace below.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Think Write 6.NS.3

Use evidence from today's lesson to complete each frame.

Frame 1 Explain the Rule

Today's key idea is: "Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same." — and it works because ___.

Frame 2 Because / But / So

Because Dividend means ___, but a tricky part is ___, so I have to ___.

Frame 3 Catch the Mistake

A common mistake with Dividend is ___. It happens because ___, and the fix is ___.

Frame 4 Prove It

I can prove my answer is correct by ___, using Divisor to check my work.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Because · But · So 6.NS.3

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelMove the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same.
because
Give a reason

Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same. because ___

but
Name a tricky part

Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same. but ___

so
State what it means

Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same. so ___

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Sentence Expansion 6.NS.3

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Dividend.

Answer these to add detail

What exactly?When?Where in real life?Why does it work?How did we use it?

Sentence starters (tap to use)

First, …For example, …This means that …In other words, …As a result, …I know this because …
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Student Workspace 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Student Workspace

📊 FILL THE TABLE
👨‍🎓 Students: Complete the missing cells. Check with a partner before we discuss.
⏱️ Time: 5 min

Complete the table. Rewrite each decimal division as a whole-number division by multiplying both the dividend and divisor by 10 (or 100), then solve.

Column AColumn B

✏️ Sketch Your Strategy

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Differentiation 6.NS.3
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Differentiation Paths

🎯 CHOOSE YOUR LEVEL
👩‍🏫 Say: Everyone works on the same math goal — pick the level of support that fits today.
⏱️ Time: 8–10 min independent or partner
🧩 Level 0 · Most support

Step-by-step with a worked model and sentence frames.

🌱 Level 1 · Support

What is 14.4 ÷ 1.2?

🎯 Level 2 · Core

Core practice aligned to the standard.

🚀 Level 2+ · Enrichment

Extension with error analysis or multi-step reasoning.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Partner Activity 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Partner Activity

🤝 PARTNER WORK
📦 Materials: Whiteboards or paper, pencils, vocabulary reference cards
👨‍🎓 Students: Partner A solves, Partner B coaches. Switch roles on the next problem.
⏱️ Time: 6 min

Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 CFU 4 6.NS.3
🚀 SPACE STATION

Check for Understanding #4

✋ CFU · THUMBS
Ask: Thumbs up if you and your partner agree on your answer.
⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Math in the Wild 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Real-World Connection

🌍 Math in the Wild

👩‍🏫 Say: Read the scenario. Ask: where else have you seen this kind of math?

A ribbon is 16.8 feet long. You need to cut it into pieces that are each 2.4 feet long for a craft project.

dividedecimalquotient7equalpieceswhole number

✍️ Connection Reasoning

How does decimal division help you figure out how many pieces you can cut?

I can cut ___ pieces because 16.8 ÷ 2.4 = ___.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Discuss Connect 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Turn & Talk — Connect

🗣️ TURN & TALK
👩‍🏫 Say: Partner A shares first for 45 seconds, then Partner B.
👨‍🎓 Students: Turn to your elbow partner. Use the sentence stems.
⏱️ Time: 90 sec

The station has 22.5 meters of oxygen tubing, cut into hoses that are each 1.5 meters long. How does decimal division tell you how many hoses you can make?

Sentence starters (tap to use):
✍️ I can make ___ hoses because I divided 22.5 by ___.Puedo hacer ___ mangueras porque dividí 22.5 entre ___.
✍️ I moved both decimals to change it to ___ ÷ ___.Moví ambos decimales para cambiarlo a ___ ÷ ___.
Stretch further:
➕ I can check by multiplying ___ × ___ = ___.
➕ If the product equals the total tubing length, then ___.
WORD BANK:
dividenddivisorquotientdecimal divisionequivalent division
90s

👂 Listen For

Students rewrite 22.5 ÷ 1.5 as 225 ÷ 15 = 15, so 15 hoses can be made with none left over.

Extend: How can you check that 15 hoses is correct without redividing? Show the check.

Reveal Math Grade 6 · Unit 1 · 1-7
Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.NS.3
Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

What is 19.2 ÷ 0.8?

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Goal Tracker 6.NS.3
My Goal: I can divide with decimals by making the divisor a whole number first.
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Bonus Check 6.NS.3
🎯 I can divide with decimals by making the divisor a whole number first.
🚀 SPACE STATION

Bonus Exit Check

📝 QUICK CHECK
Ask: Optional for early finishers.
⏱️ Time: 2 min

What is 3.78 ÷ 0.6?

✍️ Show Your Work

Explain why your answer is correct using today's vocabulary.

Teacher reveal: Multiply both by 10: 37.8 ÷ 6 = 6.3.
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Reflection 6.NS.3
🚀 SPACE STATION

Reflection & Self-Assessment

3 Things I learned:
2 Connections:
1 Question:
Self-Assessment:
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Digital Activity 6.NS.3
🚀 SPACE STATION

Continue Learning

🎮

Launch the Full Interactive Activity

Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.

👩‍🏫 Say: Early finishers: open the activity. Everyone else: start homework tonight.
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Family Connection 6.NS.3
🚀 SPACE STATION

Family Connection

Share tonight's family homework and discuss one vocabulary word at home.

Open Family Homework ↗
👩‍🏫 Say: Tell families: "Ask your student to teach you one thing from today's lesson."
Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Teacher Notes 6.NS.3
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Teacher Notes

⏱️ Pacing Guide

  • Launch & vocab: 12 min
  • I Do / We Do / You Do: 15 min
  • Explore & practice: 15 min
  • Connect & closure: 8 min

Total: ~45 min

🎯 Listen For · Common Errors

• Students explain you move the decimal in the divisor to make it whole (6.3 to 63) and move the dividend the same way, naming 18.9 as the dividend and 6.3 as the divisor.

• Students rewrite 18.9 ÷ 6.3 as 189 ÷ 63 = 3, explaining moving both points one place keeps the division equivalent, so 3 pods are filled.

• Students rewrite 22.5 ÷ 1.5 as 225 ÷ 15 = 15, so 15 hoses can be made with none left over.

• Students explain that a whole-number divisor lets them divide normally, and equivalent division keeps the quotient the same while removing the decimal from the divisor.

Common mistake: A common mistake in Divide Decimals is skipping the key idea: "Move the decimal point the same number of places in BOTH the divisor and the dividend; the answer stays the same." — always check your work against this rule before you submit.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math Grade 6 Answer Key 6.NS.3
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Answer Key (Teacher Appendix)

Hide this slide during presentation or move to the end of your copy.

✓ Practice 1: 12 bottles — 19.2 ÷ 1.6: multiply both by 10 → 192 ÷ 16 = 12 bottles.

✓ Practice 2: 12 — Multiply both by 10: 144 ÷ 12 = 12.

✓ Practice 3: 6.3 — Multiply both by 10: 37.8 ÷ 6 = 6.3.

✓ Practice 4: 12 — 8.4 ÷ 0.7 = 84 ÷ 7 = 12.

✓ Exit ticket: 24 — Multiply both by 10: 192 ÷ 8 = 24.

Reveal Math Grade 6 · Unit 1 · 1-7
Reveal Math · Unit 1 · Lesson 1-7 STANDARD: 6.NS.3
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