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๐ŸŽ“ Grade 3๐Ÿ“„ Free PDFโœ… Answer Keys๐ŸŽฏ 4 Classroom Sets

Multiplying Multiples of 10 ยท Free Worksheets (Grade 3)

Practice multiplying multiples of 10 (Grade 3) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

๐Ÿ“Aligned to Common Core (CCSS.MATH.CONTENT.3.NBT.A.3)ยท5-10 min per sheet
Format:
Count:
PanMaths.comMultiplying Multiples of 10 Worksheets โ€ข Set A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.
4ร—60=___
Workspace:
2.
7ร—40=___
Workspace:
3.
6ร—70=___
Workspace:
4.
5ร—80=___
Workspace:
5.
8ร—30=___
Workspace:
6.
3ร—90=___
Workspace:
7.
9ร—50=___
Workspace:
8.
6ร—60=___
Workspace:
9.
8ร—70=___
Workspace:
10.
7ร—80=___
Workspace:
PanMaths.com โ€ข Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Standard)
Answer Key
Total Problems: 10
1.
4ร—60=___Ans: 240
1. Decompose Multiple of 10: 60 = 6 tens (6 ร— 10).
2. Base Multiplication Fact: 4 ร— 6 = 24.
3. Unit Form Reasoning: 4 ร— 6 tens = 24 tens.
4. Place Value Shift: 24 tens = 240 โœ…
2.
7ร—40=___Ans: 280
1. Decompose Multiple of 10: 40 = 4 tens (4 ร— 10).
2. Base Multiplication Fact: 7 ร— 4 = 28.
3. Unit Form Reasoning: 7 ร— 4 tens = 28 tens.
4. Place Value Shift: 28 tens = 280 โœ…
3.
6ร—70=___Ans: 420
1. Decompose Multiple of 10: 70 = 7 tens (7 ร— 10).
2. Base Multiplication Fact: 6 ร— 7 = 42.
3. Unit Form Reasoning: 6 ร— 7 tens = 42 tens.
4. Place Value Shift: 42 tens = 420 โœ…
4.
5ร—80=___Ans: 400
1. Decompose Multiple of 10: 80 = 8 tens (8 ร— 10).
2. Base Multiplication Fact: 5 ร— 8 = 40.
3. Unit Form Reasoning: 5 ร— 8 tens = 40 tens.
4. Place Value Shift: 40 tens = 400 โœ…
5.
8ร—30=___Ans: 240
1. Decompose Multiple of 10: 30 = 3 tens (3 ร— 10).
2. Base Multiplication Fact: 8 ร— 3 = 24.
3. Unit Form Reasoning: 8 ร— 3 tens = 24 tens.
4. Place Value Shift: 24 tens = 240 โœ…
6.
3ร—90=___Ans: 270
1. Decompose Multiple of 10: 90 = 9 tens (9 ร— 10).
2. Base Multiplication Fact: 3 ร— 9 = 27.
3. Unit Form Reasoning: 3 ร— 9 tens = 27 tens.
4. Place Value Shift: 27 tens = 270 โœ…
7.
9ร—50=___Ans: 450
1. Decompose Multiple of 10: 50 = 5 tens (5 ร— 10).
2. Base Multiplication Fact: 9 ร— 5 = 45.
3. Unit Form Reasoning: 9 ร— 5 tens = 45 tens.
4. Place Value Shift: 45 tens = 450 โœ…
8.
6ร—60=___Ans: 360
1. Decompose Multiple of 10: 60 = 6 tens (6 ร— 10).
2. Base Multiplication Fact: 6 ร— 6 = 36.
3. Unit Form Reasoning: 6 ร— 6 tens = 36 tens.
4. Place Value Shift: 36 tens = 360 โœ…
9.
8ร—70=___Ans: 560
1. Decompose Multiple of 10: 70 = 7 tens (7 ร— 10).
2. Base Multiplication Fact: 8 ร— 7 = 56.
3. Unit Form Reasoning: 8 ร— 7 tens = 56 tens.
4. Place Value Shift: 56 tens = 560 โœ…
10.
7ร—80=___Ans: 560
1. Decompose Multiple of 10: 80 = 8 tens (8 ร— 10).
2. Base Multiplication Fact: 7 ร— 8 = 56.
3. Unit Form Reasoning: 7 ร— 8 tens = 56 tens.
4. Place Value Shift: 56 tens = 560 โœ…
PanMaths.com โ€ข Answer Key & SolutionsPage 2 of 2
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Worksheet Info

Categorygrade-3
Grade LevelGrade 3
DifficultyEasy, Medium, Hard, Sprint
Time5-10 min
CCSS CodeCCSS.MATH.CONTENT.3.NBT.A.3

Skills Practiced

  • โœ“ Multiplying Multiples of 10

Key Strategies

  • ๐Ÿ”Ÿ The Base Fact & Zero Pattern: Identify the underlying basic fact first: for 6 ร— 70, find 6 ร— 7 = 42, then append a zero (place-value shift) to make 420.
  • ๐Ÿ“ฆ Unit Form / Tens Reasoning: Think in terms of tens units: 5 ร— 80 is simply 5 groups of 8 tens = 40 tens. 40 tens = 400.
  • ๐Ÿ”„ Associative Property Decomposition: Rewrite the multiple of 10 as (digit ร— 10): 3 ร— 40 = 3 ร— (4 ร— 10) = (3 ร— 4) ร— 10 = 12 ร— 10 = 120.
  • ๐Ÿงฑ Area Model Tens Strip: Visualize an area rectangle of dimensions 7 ร— 30 as 3 adjacent 7 ร— 10 strips, each of area 70. Total area = 70 + 70 + 70 = 210.
๐ŸŽฎ Interactive Warm-Up

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Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.3.NBT.A.3๐Ÿ”— CCSS.MATH.CONTENT.3.OA.B.5๐Ÿ”— CCSS.MATH.CONTENT.3.OA.C.7

Mastering Multiplying Multiples of 10: Core Concepts & Mental Models

Multiplying by a multiple of 10 is one of the most empowering mental math strategies in elementary arithmetic. By decomposing the multiple of 10 into (tens digit ร— 10), students use their known single-digit multiplication facts and shift the product one place value to the left: 4 ร— 60 = 4 ร— 6 tens = 24 tens = 240.

Worked Example & SolutionTeacher Step-by-Step Method
๐Ÿ“ Problem: Calculate 7 ร— 80 using place value and base facts.
Worked Solution: Step 1: Identify the base multiplication fact: 7 ร— 8 = 56. Step 2: Express 80 in unit form as 8 tens: 7 ร— 8 tens = 56 tens. Step 3: Convert 56 tens to standard form: 56 ร— 10 = 560. Therefore, 7 ร— 80 = 560.

๐Ÿ’ก Essential Strategies for Multiplying Multiples of 10

๐Ÿ”Ÿ The Base Fact & Zero Pattern

Identify the underlying basic fact first: for 6 ร— 70, find 6 ร— 7 = 42, then append a zero (place-value shift) to make 420.

๐Ÿ“ฆ Unit Form / Tens Reasoning

Think in terms of tens units: 5 ร— 80 is simply 5 groups of 8 tens = 40 tens. 40 tens = 400.

๐Ÿ”„ Associative Property Decomposition

Rewrite the multiple of 10 as (digit ร— 10): 3 ร— 40 = 3 ร— (4 ร— 10) = (3 ร— 4) ร— 10 = 12 ร— 10 = 120.

๐Ÿงฑ Area Model Tens Strip

Visualize an area rectangle of dimensions 7 ร— 30 as 3 adjacent 7 ร— 10 strips, each of area 70. Total area = 70 + 70 + 70 = 210.

๐Ÿ“– Key Mathematical Vocabulary

Multiple of 10

Any whole number ending in zero that can be divided evenly by 10 (e.g., 10, 20, 30, 40, 50, 60, 70, 80, 90).

Base Fact

The underlying single-digit multiplication fact used to solve the problem (e.g., in 4 ร— 60, the base fact is 4 ร— 6 = 24).

Place Value Shift

Moving each digit one position to the left by multiplying by 10, resulting in a zero in the ones place.

Unit Form

Expressing a number by stating both the digit and its place value unit (e.g., 240 expressed as '24 tens').

๐ŸŽฏ 4 Differentiated Classroom Sets Included

Standard 10Version A

Set A: Core Multiples of 10 (10 Problems)

Balanced single-digit multiplication by multiples of 10 across 20 to 90.

Anti-CheatVersion B

Set B: Alternate Numbers (10 Problems)

Identical cognitive structure with fresh factor pairings to prevent classroom copying.

ChallengingVersion C

Set C: Missing Factors & Tens Equations (8 Problems)

Solve for missing factors in equations with multiples of 10 (e.g. 6 ร— ___ = 420).

Speed SprintVersion D

Set D: 3-Minute Fluency Sprint (15 Problems)

Rapid mental recall drill multiplying one-digit numbers by multiples of 10.

โ“ Frequently Asked Questions

How do you solve a multiplying multiples of 10 problem step by step?

Here is a worked example: "Calculate 7 ร— 80 using place value and base facts.". Solution: Step 1: Identify the base multiplication fact: 7 ร— 8 = 56. Step 2: Express 80 in unit form as 8 tens: 7 ร— 8 tens = 56 tens. Step 3: Convert 56 tens to standard form: 56 ร— 10 = 560. Therefore, 7 ร— 80 = 560.

What is the core learning objective for multiplying multiples of 10?

Multiply one-digit whole numbers by multiples of 10 in the range 10โ€“90 using basic multiplication facts, place value understanding, and properties of operations. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.3.NBT.A.3.

What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (Balanced single-digit multiplication by multiples of 10 across 20 to 90.). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

Are these multiplying multiples of 10 worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.