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Multiplying Multiples of 10FREEWorksheet Generator(Grade 3)

Multiplying Multiples of 10 worksheets (Grade 3) with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems.

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Set A โ€ข 10 Qs
PanMaths.comMultiplying Multiples of 10 Worksheets โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.3ร—30=___
Workspace:
2.7ร—40=___
Workspace:
3.7ร—___=350
Workspace:
4.___ร—90=720
Workspace:
5.9ร—50=___
Workspace:
6.9ร—30=___
Workspace:
7.4ร—___=360
Workspace:
8.___ร—60=420
Workspace:
9.3ร—60=___
Workspace:
10.5ร—30=___
Workspace:
PanMaths.com โ€ข Free Math Worksheet Generator โ€ข Set A (Medium)Page 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Medium)
Answer Key
Total Problems: 10
1.3ร—30=___
Ans: 90
1. Decompose Multiple of 10: 30 = 3 tens (3 ร— 10).
2. Base Multiplication Fact: 3 ร— 3 = 9.
3. Unit Form Reasoning: 3 ร— 3 tens = 9 tens.
4. Place Value Shift: 9 tens = 90 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…
3.7ร—___=350
Ans: 50
1. Decompose Multiple of 10: 50 = 5 tens (5 ร— 10).
2. Base Multiplication Fact: 7 ร— 5 = 35.
3. Unit Form Reasoning: 7 ร— 5 tens = 35 tens.
4. Place Value Shift: 35 tens = 350 โœ…
5. Missing Factor: The multiple of 10 is 350 รท 7 = 50 โœ…
4.___ร—90=720
Ans: 8
1. Decompose Multiple of 10: 90 = 9 tens (9 ร— 10).
2. Base Multiplication Fact: 8 ร— 9 = 72.
3. Unit Form Reasoning: 8 ร— 9 tens = 72 tens.
4. Place Value Shift: 72 tens = 720 โœ…
5. Missing Factor: The single-digit factor is 720 รท 90 = 8 โœ…
5.9ร—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…
6.9ร—30=___
Ans: 270
1. Decompose Multiple of 10: 30 = 3 tens (3 ร— 10).
2. Base Multiplication Fact: 9 ร— 3 = 27.
3. Unit Form Reasoning: 9 ร— 3 tens = 27 tens.
4. Place Value Shift: 27 tens = 270 โœ…
7.4ร—___=360
Ans: 90
1. Decompose Multiple of 10: 90 = 9 tens (9 ร— 10).
2. Base Multiplication Fact: 4 ร— 9 = 36.
3. Unit Form Reasoning: 4 ร— 9 tens = 36 tens.
4. Place Value Shift: 36 tens = 360 โœ…
5. Missing Factor: The multiple of 10 is 360 รท 4 = 90 โœ…
8.___ร—60=420
Ans: 7
1. Decompose Multiple of 10: 60 = 6 tens (6 ร— 10).
2. Base Multiplication Fact: 7 ร— 6 = 42.
3. Unit Form Reasoning: 7 ร— 6 tens = 42 tens.
4. Place Value Shift: 42 tens = 420 โœ…
5. Missing Factor: The single-digit factor is 420 รท 60 = 7 โœ…
9.3ร—60=___
Ans: 180
1. Decompose Multiple of 10: 60 = 6 tens (6 ร— 10).
2. Base Multiplication Fact: 3 ร— 6 = 18.
3. Unit Form Reasoning: 3 ร— 6 tens = 18 tens.
4. Place Value Shift: 18 tens = 180 โœ…
10.5ร—30=___
Ans: 150
1. Decompose Multiple of 10: 30 = 3 tens (3 ร— 10).
2. Base Multiplication Fact: 5 ร— 3 = 15.
3. Unit Form Reasoning: 5 ร— 3 tens = 15 tens.
4. Place Value Shift: 15 tens = 150 โœ…
PanMaths.com โ€ข Answer Key & Worked 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.
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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').

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.

How does the unlimited multiplying multiples of 10 worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of multiplying multiples of 10 problems with unique numbers. No two worksheets are ever the same โ€” perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

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.