Place Value Blast Worksheet
Grade 4 • Module 3 • Lesson 4
Place Value Blast Worksheet
Name:
Date:
Objective: Multiply whole numbers by 10, 100, and 1,000 using unit form, place value disks, and arrays.
Score: / 25
1 Place Value Disk Representations
Fill in the unit form and standard form for each multiplication fact.
Example
10 10 10
3 groups of 1 ten = 3 tens
3 × 10 = 30
A. Multiply 4 by units of 10, 100, and 1,000:
4 × 1 one = 4 ones = 4
4 × 1 ten = tens =
4 × 1 hundred = hundreds =
4 × 1 thousand = thousands =
B. Multiply 7 by units of 10, 100, and 1,000:
7 × 1 one = 7 ones = 7
7 × 1 ten = tens =
7 × 1 hundred = hundreds =
7 × 1 thousand = thousands =
2 Place Value Chart Pattern Discovery
Observe how the digits shift when multiplying by 10, 100, and 1,000.
| Factor | Thousands | Hundreds | Tens | Ones | Standard Form |
|---|
| 6 | — | — | — | 6 | 6 |
| 6 × 10 | — | — | 6 | 0 | 60 |
| 6 × 100 | — | 6 | 0 | 0 | 600 |
| 6 × 1,000 | 6 | 0 | 0 | 0 | 6,000 |
| 9 × 100 | | | | | |
| 9 × 1,000 | | | | | |
| 12 × 10 | | | | | |
| 12 × 100 | | | | | |
Pattern Rule Check:
When you multiply any whole number by 10, each digit shifts place value to the left. When you multiply by 100, each digit shifts places to the left. When you multiply by 1,000, each digit shifts places to the left.
Grade 4 Module 3 • Lesson 4 Problem Set Page 1 of 2
Part II
Associative Property & Array Applications
Grade 4 • Module 3 • Lesson 4
3 Multiply Multiples of 10, 100, and 1,000
Decompose the multiple and group with parentheses.
Strategy Model 3 × 40 = 3 × (4 × 10) = (3 × 4) × 10 = 12 × 10 = 120
12 tens = 120
1. 2 × 50
= 2 × (5 × )
= (2 × 5) × 10
= × 10 =
2. 4 × 300
= 4 × (3 × )
= (4 × 3) × 100
= × 100 =
3. 6 × 2,000
= 6 × (2 × )
= (6 × 2) × 1,000
= × 1,000 =
4. 8 × 500
= (8 × ) × 100
= × 100
=
4 Array & Area Model Representation
4 tens (40)
Area = ? 3 × 4 tens
3 rows
A. The diagram shows 3 rows of 4 tens.
• In unit form: 3 × 4 tens = tens.
• In standard form: 3 × 40 = .
B. Draw or describe how the area would change if the width were 4 hundreds (400) instead:
5 Word Problem & Reasoning
Problem: A school library ordered 6 cartons of chapter books. Each carton contains 300 books. How many chapter books did the library receive in all? Show your unit form thinking and final multiplication sentence.
Show Unit Form & Strategy:
Statement & Final Answer:
Explain: Sofia says that \(5 \times 600 = 3,000\) because \(5 \times 6 = 30\) and you multiply that by 100. Is Sofia correct? Explain why or why not.
Embark / Eureka Math • Module 3 Lesson 4 Page 2 of 2
