CH02-02 lesson

Reading and Writing Multi-Digit Whole Numbers Learning Activity

A focused Grade 4 learning session for Reading and Writing Multi-Digit Whole Numbers using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

Students will read, write, and represent multi-digit whole numbers in standard, word, and expanded form.

Student goal: I can read and write multi-digit whole numbers in different forms.

Helpful first: Place-Value Relationships
concept

Learn the Idea

Reading and Writing Multi-Digit Whole Numbers means using place value, operations, and equations to reason accurately with numbers.

  • Read the question carefully and identify what is being asked.
  • Choose a model, equation, table, or diagram that matches the situation.
  • Solve one step at a time and keep units or labels attached.
  • Use the answer explanation to check that the result makes sense.
visual model

See the Math

Visual Model 1

Question: Use this place-value chart: What is the standard numeral?

Hundred-ThousandsTen-ThousandsThousandsHundredsTensOnes
418523
  • A. \(418{,}253\)
  • B. \(481{,}523\)
  • C. \(418{,}352\)
  • D. \(418{,}523\)

Why it works: From the chart: \(4\) hundred-thousands, \(1\) ten-thousand, \(8\) thousands, \(5\) hundreds, \(2\) tens, \(3\) ones \(= 418{,}523\) \checkmark

Answer: \(418{,}523\)

worked example

Follow a Worked Example

Example 1

Question: Which number has a \(4\) in the hundreds place? Use this expanded form reference:

NumberThousandsHundredsTensOnes
Option A2415
Option B4215
Option C1245
Option D2541
  • A. \(2{,}415\)
  • B. \(4{,}215\)
  • C. \(1{,}245\)
  • D. \(2{,}541\)
  1. Looking at the table, the hundreds column shows \(4\) for Option A, which gives \(2{,}415\) \checkmark

Answer: \(2{,}415\)

Example 2

Question: Expand \(2{,}814\) using the place-value model:

ThousandsHundredsTensOnes
2814
  • A. \(2{,}000+8{,}000+14\)
  • B. \(2{,}000+80+14\)
  • C. \(2+8+1+4\)
  • D. \(2{,}000+800+10+4\)
  1. From the chart: thousands \(\to 2{,}000\), hundreds \(\to 800\), tens \(\to 10\), ones \(\to 4\) \checkmark

Answer: \(2{,}000+800+10+4\)

real world

Connect It to a Real Situation

Problem 1

Question: A city library has \(287{,}654\) books. How is this number read?

  • A. Two hundred eighty thousand, seven hundred fifty-four
  • B. Two hundred thousand, eighty-seven thousand, six hundred fifty-four
  • C. Twenty-eight thousand, seven hundred fifty-four
  • D. Two hundred eighty-seven thousand, six hundred fifty-four

Why it works: Breaking it: \(287\) thousands ("two hundred eighty-seven thousand") and \(654\) ones ("six hundred fifty-four") \checkmark

Answer: Two hundred eighty-seven thousand, six hundred fifty-four

strategy

Avoid Mistakes and Choose a Strategy

  • Rushing before identifying what the numbers represent.
  • Choosing an operation that does not match the situation.
  • Dropping labels, units, or context from the answer.
  • Skipping the estimate or reasonableness check.
  • Underline the question being asked.
  • Use a model before jumping to computation.
  • Write an equation that matches the story or picture.
  • Explain the final answer in a sentence.
summary

Remember the Key Idea

Reading and Writing Multi-Digit Whole Numbers becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.

GOLDEN RULE

Understand the model before choosing the operation.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G4-C02-T02-Q001 About 1 min

Which numeral represents "four hundred twenty-three thousand, fifty-one"?

  1. A \(423{,}501\)
  2. B \(423{,}510\)
  3. C \(42{,}351\)
  4. D \(423{,}051\)
Check answer and explanation

Answer D: \(423{,}051\)

Thousands: \(423\), ones: \(51\). Combined: \(423{,}000 + 51 = 423{,}051\) \checkmark

G4-C02-T02-Q002 About 1 min

Which numeral represents "five thousand, two hundred thirty-four"?

  1. A \(52{,}340\)
  2. B \(5{,}324\)
  3. C \(523{,}400\)
  4. D \(5{,}234\)
Check answer and explanation

Answer D: \(5{,}234\)

Thousands: \(5\), ones: \(234\). Combined: \(5{,}000 + 234 = 5{,}234\) \checkmark

guided

1 question
G4-C02-T02-Q003 About 1 min

What number is equal to \(30{,}000+6{,}000+500+20+8\)?

  1. A \(36{,}285\)
  2. B \(36{,}582\)
  3. C \(36{,}258\)
  4. D \(36{,}528\)
Check answer and explanation

Answer D: \(36{,}528\)

Step 1: \(30{,}000 + 6{,}000 = 36{,}000\). Step 2: \(36{,}000 + 500 + 20 + 8 = 36{,}528\) \checkmark

practice

5 questions
G4-C02-T02-Q004 About 1 min

In the number \(7{,}846\), what digit is in the tens place?

  1. A \(7\)
  2. B \(8\)
  3. C \(4\)
  4. D \(6\)
Check answer and explanation

Answer C: \(4\)

From right to left: ones, then tens. In \(7{,}846\), the tens digit is \(4\) \checkmark

G4-C02-T02-Q005 About 1 min

Write the number \(12{,}405\) in word form.

  1. A Twelve thousand, four hundred fifty
  2. B Twelve thousand, forty-five
  3. C One hundred twenty thousand, four hundred five
  4. D Twelve thousand, four hundred five
Check answer and explanation

Answer D: Twelve thousand, four hundred five

Breaking it: \(12\) thousands ("twelve thousand") and \(405\) ones ("four hundred five") \checkmark

G4-C02-T02-Q006 About 1 min

Which number is less than \(54{,}200\)?

  1. A \(54{,}300\)
  2. B \(54{,}200\)
  3. C \(55{,}200\)
  4. D \(54{,}100\)
Check answer and explanation

Answer D: \(54{,}100\)

The thousands digits match, so compare the hundreds place: \(100 < 200\), therefore \(54{,}100 < 54{,}200\) \checkmark

G4-C02-T02-Q007 About 1 min

In the number \(352{,}679\), what is the value of the digit in the ten-thousands place?

  1. A \(5\)
  2. B \(5{,}000\)
  3. C \(50{,}000\)
  4. D \(500{,}000\)
Check answer and explanation

Answer C: \(50{,}000\)

The ten-thousands place contains the digit \(5\). Its value: \(5 \times 10{,}000 = 50{,}000\) \checkmark

G4-C02-T02-Q008 About 1 min

Use this place-value chart: What is the standard numeral?

Reading and Writing Multi-Digit Whole Numbers visual for G4-C02-T02-Q008
  1. A \(418{,}253\)
  2. B \(481{,}523\)
  3. C \(418{,}352\)
  4. D \(418{,}523\)
Check answer and explanation

Answer D: \(418{,}523\)

From the chart: \(4\) hundred-thousands, \(1\) ten-thousand, \(8\) thousands, \(5\) hundreds, \(2\) tens, \(3\) ones \(= 418{,}523\) \checkmark

exit

3 questions
G4-C02-T02-Q009 About 1 min

What is the value of the thousands digit in \(67{,}290\)?

  1. A \(7\)
  2. B \(70\)
  3. C \(700\)
  4. D \(7{,}000\)
Check answer and explanation

Answer D: \(7{,}000\)

The thousands digit is \(7\). Value: \(7 \times 1{,}000 = 7{,}000\) \checkmark

G4-C02-T02-Q010 About 1 min

Write \(52{,}047\) in expanded form.

  1. A \(50{,}000+2{,}000+400+7\)
  2. B \(50{,}000+2{,}000+4+7\)
  3. C \(50{,}000+20{,}000+40+7\)
  4. D \(50{,}000+2{,}000+40+7\)
Check answer and explanation

Answer D: \(50{,}000+2{,}000+40+7\)

Ten-thousands: \(5 \to 50{,}000\); thousands: \(2 \to 2{,}000\); tens: \(4 \to 40\); ones: \(7 \to 7\) \checkmark

G4-C02-T02-Q011 About 1 min

Which statement is true?

  1. A \(99{,}999>100{,}000\)
  2. B \(100{,}001<100{,}000\)
  3. C \(100{,}000=100{,}000\)
  4. D \(99{,}999<99{,}998\)
Check answer and explanation

Answer C: \(100{,}000=100{,}000\)

Only C is true: \(100{,}000 = 100{,}000\). The other statements don't work: A and B involve different number sizes, and D reverses the comparison \checkmark

Page UP