Complete Multiply Single Digits Worksheet with Solved Exercises

Master multiplying single digit numbers (0-9) with our comprehensive worksheet including visual aids and step-by-step solutions.

Worksheet Problems 1 to 3
1 Zero Property Problems
Problem 1
Complete:
\(8 \times 0 = ?\)
Definition:

Zero Property of Multiplication: Any number multiplied by 0 equals 0

\(a \times 0 = 0\)

Zero Property Method:
  1. Recognize that any number multiplied by 0 is 0
  2. No matter what the other factor is, the result is 0
  3. This is because you have 0 groups of the other number
Expression
\(8 \times 0\)
Application
\(8 \times 0 = 0\)
Step 1: Identify the zero factor

\(8 \times 0\) has 0 as one of the factors

Step 2: Apply the zero property

According to the zero property, any number times 0 equals 0

Step 3: State the result

\(8 \times 0 = 0\)

\(8 \times 0 = 0\)
Final answer:

\(8 \times 0 = 0\)

Applied rules:

• Zero Property: \(a \times 0 = 0\) for any number \(a\)

• Commutative Property: \(8 \times 0 = 0 \times 8 = 0\)

• Universal Rule: This rule works for all numbers

Tip: Remember: anything times 0 is always 0!
2 Identity Property Problems
Problem 2
Complete:
\(9 \times 1 = ?\)
Definition:

Identity Property of Multiplication: Any number multiplied by 1 equals itself

\(a \times 1 = a\)

Expression
\(9 \times 1\)
Application
\(9 \times 1 = 9\)
Step 1: Identify the identity factor

\(9 \times 1\) has 1 as one of the factors

Step 2: Apply the identity property

According to the identity property, any number times 1 equals the number itself

Step 3: State the result

\(9 \times 1 = 9\)

\(9 \times 1 = 9\)
Final answer:

\(9 \times 1 = 9\)

Applied rules:

• Identity Property: \(a \times 1 = a\) for any number \(a\)

• Commutative Property: \(9 \times 1 = 1 \times 9 = 9\)

• Universal Rule: This rule works for all numbers

Tip: Remember: multiplying by 1 doesn't change the number!
3 Doubling Problems
Problem 3
Complete:
\(7 \times 2 = ?\)
Definition:

Multiplication by 2: Doubling a number or adding it to itself

\(2 \times a = a + a\)

Expression
\(7 \times 2\)
Doubling
\(7 + 7 = 14\)
Result
14
Step 1: Recognize multiplication by 2

\(7 \times 2\) means doubling 7

Step 2: Apply the doubling method

Double 7 by adding 7 + 7

Step 3: Calculate the sum

\(7 + 7 = 14\)

Step 4: State the result

\(7 \times 2 = 14\)

\(7 \times 2 = 14\)
Final answer:

\(7 \times 2 = 14\)

Applied rules:

• Doubling: Multiplying by 2 is the same as adding the number to itself

• Even Result: Multiplying any integer by 2 gives an even number

• Quick Method: Use skip counting by 2s

Tip: Think of multiplication by 2 as doubling the number!
Tip: Use skip counting: 2, 4, 6, 8, 10, 12, 14
Multiply Single Digits Worksheet
\(a \times b = \underbrace{a + a + a + \ldots}_{b \text{ times}}\)
Definition of Multiplication

Worksheet Instructions:

Complete each multiplication problem below. Show your work if needed.

Section A: Zero Property (×0)

1. \(5 \times 0 = \underline{\hspace{2em}}\)
2. \(0 \times 8 = \underline{\hspace{2em}}\)
3. \(0 \times 12 = \underline{\hspace{2em}}\)

Section B: Identity Property (×1)

4. \(9 \times 1 = \underline{\hspace{2em}}\)
5. \(1 \times 6 = \underline{\hspace{2em}}\)
6. \(1 \times 15 = \underline{\hspace{2em}}\)

Section C: Doubling (×2)

7. \(4 \times 2 = \underline{\hspace{2em}}\)
8. \(2 \times 7 = \underline{\hspace{2em}}\)
9. \(2 \times 9 = \underline{\hspace{2em}}\)
×
0
1
2
3
4
5
6
7
8
9
0
0
0
0
0
0
0
0
0
0
0
1
0
1
2
3
4
5
6
7
8
9
2
0
2
4
6
8
10
12
14
16
18
Key definitions:

Multiplication: An operation that combines equal groups of objects

Factors: Numbers being multiplied together

Product: The result of multiplication

Commutative Property: \(a \times b = b \times a\)

Zero Property: \(a \times 0 = 0\)

Identity Property: \(a \times 1 = a\)

Single Digit: Numbers from 0 to 9

Worksheet Completion Method:
  1. Read the problem: Identify the two single-digit numbers
  2. Recognize the pattern: Apply zero, identity, or other properties
  3. Calculate the result: Use memorization or skip counting
  4. Write the answer: Fill in the blank with the correct product
Tip 1: Start with the easiest problems (×0 and ×1).
Tip 2: Use skip counting for problems you don't remember instantly.
Tip 3: Remember: anything times 0 is 0, anything times 1 stays the same.
Tip 4: Check your answers by using the commutative property.
Common errors: Confusing multiplication with addition, forgetting zero property.
Key concepts: Equal groups, repeated addition, properties of multiplication.
Properties of Multiplication:

• Zero Property: \(a \times 0 = 0\)

• Identity Property: \(a \times 1 = a\)

• Commutative Property: \(a \times b = b \times a\)

• Associative Property: \((a \times b) \times c = a \times (b \times c)\)

Worksheet Problems 4 to 5
4 Tripling Problems
Problem 4
Complete:
\(6 \times 3 = ?\)
Definition:

Multiplication by 3: Tripling a number or adding it three times

\(3 \times a = a + a + a\)

Expression
\(6 \times 3\)
Tripling
\(6 + 6 + 6 = 18\)
Result
18
Step 1: Recognize multiplication by 3

\(6 \times 3\) means tripling 6

Step 2: Apply the tripling method

Triple 6 by adding 6 + 6 + 6

Step 3: Calculate the sum

\(6 + 6 = 12\), then \(12 + 6 = 18\)

Step 4: State the result

\(6 \times 3 = 18\)

\(6 \times 3 = 18\)
Final answer:

\(6 \times 3 = 18\)

Applied rules:

• Tripling: Multiplying by 3 is the same as adding the number three times

• Pattern Recognition: Products of 3 follow a pattern

• Quick Method: Use skip counting by 3s

Tip: Think of multiplication by 3 as tripling the number!
Tip: Use skip counting: 3, 6, 9, 12, 15, 18
5 Five Times Problems
Problem 5
Complete:
\(5 \times 4 = ?\)
Definition:

Multiplication by 5: A special pattern where the result ends in 0 or 5

\(5 \times a\) always ends in 0 (if a is even) or 5 (if a is odd)

Expression
\(5 \times 4\)
Method 1
\(5 + 5 + 5 + 5 = 20\)
Method 2
\(4 \times 5 = 20\)
Step 1: Recognize multiplication by 5

\(5 \times 4\) means 5 groups of 4 or 4 groups of 5

Step 2: Apply the repeated addition method

Add 5 four times: 5 + 5 + 5 + 5 = 20

Step 3: Verify with commutative property

\(5 \times 4 = 4 \times 5 = 20\)

Step 4: State the result

\(5 \times 4 = 20\)

\(5 \times 4 = 20\)
Final answer:

\(5 \times 4 = 20\)

Applied rules:

• Special 5 Pattern: Products of 5 always end in 0 or 5

• Even Result: 5×even = even number ending in 0

• Quick Method: Use skip counting by 5s

Tip: For 5×n, think: half of 10×n (5×4 = ½ of 10×4 = ½ of 40 = 20)
Tip: Use skip counting: 5, 10, 15, 20
Multiply Single Digits Worksheet Guide
\(a \times b = \underbrace{a + a + a + \ldots}_{b \text{ times}}\)
Definition of Multiplication

Worksheet Answer Key:

Section A: 1. 0, 2. 0, 3. 0
Section B: 4. 9, 5. 6, 6. 15
Section C: 7. 8, 8. 14, 9. 18
Key definitions:

Multiplication: An operation representing repeated addition of equal groups

Factors: Numbers that are multiplied together

Product: The result obtained after multiplication

Commutative Property: Order of factors doesn't change the product

Zero Property: Any number multiplied by 0 equals 0

Identity Property: Any number multiplied by 1 equals itself

Single Digit: Numbers from 0 to 9

Worksheet completion methodology:
  1. Scan the worksheet: Look for patterns and easy problems first
  2. Start with basics: Complete ×0 and ×1 problems first
  3. Use patterns: Apply known multiplication facts
  4. Verify answers: Check using commutative property if needed
  5. Review: Go back and double-check all answers
Tip 1: Work from left to right or top to bottom to stay organized.
Tip 2: Use the multiplication table as a reference if needed.
Tip 3: Remember special patterns (×0=0, ×1=n, ×5 ends in 0 or 5).
Tip 4: Always double-check your answers before submitting.
Common errors: Confusing multiplication with addition, mixing up facts.
Success tips: Regular practice, pattern recognition, memorization.
Multiplication Properties:

• Zero Property: \(a \times 0 = 0\)

• Identity Property: \(a \times 1 = a\)

• Commutative Property: \(a \times b = b \times a\)

• Associative Property: \((a \times b) \times c = a \times (b \times c)\)

Multiply Single Digits Worksheet Guide
Single Digit Multiplication Facts
📋
Multiplication by 0

\(a \times 0 = 0\)

Anything times 0 is 0

Examples: 0×5=0, 3×0=0

Multiplication by 1

\(a \times 1 = a\)

Identity property

Examples: 1×4=4, 7×1=7

Multiplication by 2

\(a \times 2 = a + a\)

Doubling the number

Examples: 2×3=6, 2×5=10

Multiplication by 3

\(a \times 3 = a + a + a\)

Tripling the number

Examples: 3×2=6, 3×4=12

Multiplication by 5

Ends in 0 or 5

Half of 10×n

Examples: 5×2=10, 5×3=15

Multiplication by 9

Digit sum = 9

10×n - n

Examples: 9×2=18, 9×4=36

Worksheet Completion Strategy
1
Scan worksheet
2
Start easy
3
Use patterns
4
Check work
Multiplication Patterns
Recognizing patterns helps with memorization and mental math
Practice All Facts Daily!

Questions & Answers

Question: How should I approach a single digit multiplication worksheet?

Answer: Here's the best approach for completing a single digit multiplication worksheet:

  • Start with easy problems: Complete ×0 and ×1 problems first
  • Use patterns: Apply known multiplication facts and properties
  • Work systematically: Go row by row or column by column
  • Check your work: Verify answers using the commutative property
  • Stay focused: Take your time to avoid simple mistakes

Work through the worksheet methodically rather than rushing. Quality practice is better than speed!

Remember: practice makes perfect with multiplication facts!

Question: What should I do if I forget a multiplication fact?

Answer: If you forget a multiplication fact, try these strategies:

  • Skip counting: Count by the first number the second number of times
  • Repeated addition: Add the first number repeatedly
  • Use known facts: Build from facts you do know
  • Commutative property: Switch the order if one is easier
  • Write it down: Show your work to avoid mistakes

For example, if you forget 6×7, think: 6+6+6+6+6+6+6 or count by 6s seven times.

It's okay to use these strategies while building your memory!

Question: How can I help my child complete multiplication worksheets?

Answer: Here are effective ways to support worksheet completion:

  • Provide a quiet space: Create a distraction-free environment
  • Offer guidance: Help with strategies when needed
  • Encourage independence: Let your child work through problems
  • Check work together: Review answers and discuss mistakes
  • Celebrate progress: Acknowledge improvement and effort

Focus on building understanding and confidence. The goal is to help your child develop fluency through practice.

Remember: patience and encouragement are key to building math confidence!