Multiplication Fluency Videos for 4th Grade Students

Master multiplication fluency: factors, multiples, and multiplication facts through these 5 comprehensive video-based exercises with detailed solutions and visual demonstrations.

Video Exercise Solutions: Questions 1 to 3
1 Video demonstration: 9s multiplication trick
Video 1: The 9s Finger Method
Watch the video demonstrating the 9s finger method
Calculate: 9 × 7 using the finger method
Then list all factors of the product
Use the digit sum trick to verify
Key Definitions:

Product: The answer when two or more numbers are multiplied together

Factor: Numbers that multiply together to make another number

Digit Sum: The sum of all digits in a number

9s Pattern: In multiples of 9, the digits always add up to 9 or a multiple of 9

9s Finger Method:
  1. Hold up both hands with fingers extended
  2. Bend down the 7th finger (counting left to right)
  3. Count fingers to the left of bent finger (6)
  4. Count fingers to the right of bent finger (3)
  5. Answer is 63
Expression
9 × 7
Product
63
Step 1: Apply the 9s finger method

Hold 10 fingers up, bend the 7th finger

Left of bent finger: 6 fingers

Right of bent finger: 3 fingers

So 9 × 7 = 63

Step 2: Find all factors of 63

Check divisibility systematically up to √63 ≈ 7.9:

63 ÷ 1 = 63 → (1, 63)

63 ÷ 3 = 21 → (3, 21)

63 ÷ 7 = 9 → (7, 9)

Factors: 1, 3, 7, 9, 21, 63

Step 3: Use digit sum trick to verify

For 9 × 7 = 63

Sum of digits in 63: 6 + 3 = 9

Since 9 is divisible by 9, our answer is likely correct

Step 4: Verify factor pairs

1×63=63, 3×21=63, 7×9=63 ✓

Step 5: Confirm the pattern

All multiples of 9 have digits that sum to 9 or a multiple of 9

9 × 7 = 63
Factors: 1, 3, 7, 9, 21, 63
Digit sum: 6 + 3 = 9 ✓
Final Answer:

9 × 7 = 63 using the finger method. Factors of 63: 1, 3, 7, 9, 21, 63. Verification: 6 + 3 = 9, confirming it's a multiple of 9.

Applied Rules:

• 9s Finger Method: Bend nth finger for 9×n, left fingers=first digit, right fingers=second digit

• Digit Sum Rule: For multiples of 9, sum of digits equals 9 or multiple of 9

• Factor Finding: Check divisibility up to square root

• Verification: Use multiple methods to confirm answers

2 Video demonstration: Distributive property
Video 2: Breaking Down Multiplication
Watch the video on distributive property
Calculate: 8 × 13 using the distributive property
Break 13 into 10 + 3
Then list the first 8 multiples of the result
Definition:

Distributive Property: a×(b+c) = a×b + a×c

Breaking Down: Splitting a number into parts to make multiplication easier

Multiple: The result of multiplying a number by an integer (1, 2, 3, 4...)

Expression
8 × 13
Breakdown
8×(10+3)
Result
104
Step 1: Break down 13 using distributive property

8 × 13 = 8 × (10 + 3)

Using distributive property: 8 × (10 + 3) = (8 × 10) + (8 × 3)

Step 2: Calculate each part

8 × 10 = 80

8 × 3 = 24

Step 3: Add the results

80 + 24 = 104

So 8 × 13 = 104

Step 4: List first 8 multiples of 104

104×1=104, 104×2=208, 104×3=312, 104×4=416, 104×5=520, 104×6=624, 104×7=728, 104×8=832

8 × 13 = 104
First 8 multiples of 104: 104, 208, 312, 416, 520, 624, 728, 832
Final Answer:

8 × 13 = 104 using the distributive property. First 8 multiples of 104: 104, 208, 312, 416, 520, 624, 728, 832.

Applied Rules:

• Distributive Property: a×(b+c) = a×b + a×c

• Breaking Down: Make multiplication easier by splitting numbers

• Multiples Generation: Multiply by 1, 2, 3, 4...

• Verification: Check that each multiple is divisible by the base number

3 Video demonstration: Commutative property
Video 3: Using Easier Problems
Watch the video on commutative property
Calculate: 7 × 8 using the commutative property
Compare with 8 × 7. Are they equal?
Use the doubling trick to solve 7 × 8
Definition:

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

Double Double Double: To multiply by 8, double the number 3 times

Strategy: Use easier problems to solve harder ones

Expressions
7×8 and 8×7
Products
Both equal 56
Doubling Method
7→14→28→56
Step 1: Calculate both products

7×8 = 56

8×7 = 56

Yes, they are equal!

Step 2: Explain using commutative property

The commutative property of multiplication states: a×b = b×a

This means the order of factors doesn't change the product

So 7×8 = 8×7 = 56

Step 3: Use the doubling trick for 7×8

To multiply by 8, double the number 3 times:

Start with 7

Double once: 7×2 = 14

Double twice: 14×2 = 28

Double thrice: 28×2 = 56

Step 4: Verify the result

7×8 = 56 ✓

Step 5: Connect to commutative property

Both 7×8 and 8×7 result in the same answer regardless of the method used

7×8 = 8×7 = 56
Commutative property: a×b = b×a
Doubling method: 7→14→28→56
Final Answer:

7×8 = 8×7 = 56. They are equal due to the commutative property. Using the doubling trick: 7 doubled 3 times is 56.

Applied Rules:

• Commutative Property: a×b = b×a (order doesn't matter)

• Double Double Double: To multiply by 8, double 3 times

• Strategy: Use easier problems to solve harder ones

• Verification: Multiple methods should give same result

Multiplication Fluency Video Learning Summary
a × b = b × a
Commutative Property
Commutative Property
a × b = b × a
Order doesn't matter
Distributive Property
a×(b+c) = a×b + a×c
Break down numbers
Identity Property
a × 1 = a
Multiplying by 1
Key Definitions:

Factor: Numbers that multiply together to make a product

Multiple: Product of a number and any integer

Prime Number: Number with only 1 and itself as factors

Composite Number: Number with more than two factors

Prime Factorization: Expressing a number as a product of prime numbers

Common Multiple: A number that is a multiple of two or more numbers

Multiplication Fluency Methods:
  1. Memorization: Know multiplication tables up to 12×12
  2. Patterns: Recognize number patterns (e.g., multiples of 5 end in 0 or 5)
  3. Breaking Down: Use known facts to solve unknown ones
  4. Repeated Addition: Understand multiplication as repeated addition
  5. Properties: Use commutative, associative, identity properties
  6. Finger Methods: Visual approaches for specific problems
  7. Doubling Tricks: Efficient methods for multiplying by 2, 4, 8
Tip 1: To multiply by 10, just add a zero to the end of the number.
Tip 2: To multiply by 9, multiply by 10 and subtract the original number.
Tip 3: To multiply by 5, multiply by 10 and divide by 2.
Tip 4: To multiply by 4, double the number twice.
Tip 5: To multiply by 8, double the number three times.
Tip 6: Use the commutative property to solve harder problems with easier ones.
Common Errors: Forgetting multiplication facts, mixing up factors and multiples, not verifying answers.
Video Learning: Pause, rewind, and replay videos to master concepts at your own pace.
Essential Multiplication Facts:

• Know tables: 1× to 12×

• Multiples of 10: end in 0

• Multiples of 5: end in 0 or 5

• Multiples of 2: even numbers

• Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23...

• Properties: commutative, distributive, identity

Multiplication Patterns Visualization
Video 6: Pattern Recognition
Analyze multiplication patterns for 6:
6×1=6, 6×2=12, 6×3=18, 6×4=24, 6×5=30, 6×6=36

Analysis: The chart shows the multiplication pattern for 6 and its multiples.

  • Pattern: each result increases by 6
  • Ones digits follow pattern: 6,2,8,4,0 (repeating)
  • All multiples of 6 are even (multiples of 2)
  • All multiples of 6 are also multiples of 3
Video Exercise Solutions: Questions 4 to 5
4 Video demonstration: Lattice multiplication
Video 4: Lattice Method
Watch the video on lattice multiplication
Calculate: 12 × 15 using the lattice method
Then find the first 5 common multiples of 12 and 15
Identify the least common multiple (LCM)
Definition:

Lattice Method: A visual approach to multiplication using a grid

Common Multiple: A number that is a multiple of two or more numbers

Least Common Multiple (LCM): The smallest positive number that is a multiple of both numbers

Numbers
12 and 15
Product
180
LCM
60
Step 1: Set up lattice for 12 × 15

Create a 2×2 grid (since 12 has 2 digits, 15 has 2 digits)

Draw diagonal lines in each cell

Step 2: Fill in the lattice

Top row: 1×1=01, 1×5=05

Bottom row: 2×1=02, 2×5=10

Step 3: Add diagonally

Right diagonal: 0 (ones place)

Middle diagonal: 1+5+2=8 (tens place)

Left diagonal: 0+1=1 (hundreds place)

Result: 180

Step 4: Find multiples of 12 and 15

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120...

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150...

Step 5: Find common multiples

Common multiples: 60, 120, 180, 240, 300

LCM(12, 15) = 60

12 × 15 = 180
Common multiples: 60, 120, 180, 240, 300
LCM(12, 15) = 60
Final Answer:

12 × 15 = 180 using the lattice method. First 5 common multiples of 12 and 15: 60, 120, 180, 240, 300. LCM is 60.

Applied Rules:

• Lattice Method: Visual approach using diagonal addition

• Common Multiples: Found by listing multiples and identifying overlaps

• LCM: The smallest positive common multiple

• Verification: Different methods should give same result

5 Video demonstration: Mental math combination
Video 5: Mental Math Combination
Watch the video on mental math strategies
Calculate: 24 × 15 using mental math tricks
Find the prime factorization of the result
Use the factorization to find all factors of the result
Definition:

Mental Math: Performing calculations in your head using shortcuts and patterns

Prime Factorization: Expressing a number as a product of prime numbers

Factor Tree: A diagram showing how a number breaks down into its prime factors

Expression
24 × 15
Result
360
Prime Factors
2³ × 3² × 5
Step 1: Use mental math to calculate 24 × 15

Think of 15 as 10 + 5

24 × 15 = 24 × (10 + 5) = (24 × 10) + (24 × 5)

24 × 10 = 240

24 × 5 = 120 (half of 24 × 10)

240 + 120 = 360

Step 2: Find prime factorization of 360

360 = 36 × 10 = 6 × 6 × 2 × 5 = 2 × 3 × 2 × 3 × 2 × 5

So 360 = 2³ × 3² × 5

Step 3: Find all factors using prime factorization

Take all possible combinations of the prime factors:

2⁰×3⁰×5⁰=1, 2¹×3⁰×5⁰=2, 2²×3⁰×5⁰=4, 2³×3⁰×5⁰=8, 2⁰×3¹×5⁰=3, 2¹×3¹×5⁰=6, 2²×3¹×5⁰=12, 2³×3¹×5⁰=24, 2⁰×3²×5⁰=9, 2¹×3²×5⁰=18, 2²×3²×5⁰=36, 2³×3²×5⁰=72, 2⁰×3⁰×5¹=5, 2¹×3⁰×5¹=10, 2²×3⁰×5¹=20, 2³×3⁰×5¹=40, 2⁰×3¹×5¹=15, 2¹×3¹×5¹=30, 2²×3¹×5¹=60, 2³×3¹×5¹=120, 2⁰×3²×5¹=45, 2¹×3²×5¹=90, 2²×3²×5¹=180, 2³×3²×5¹=360

Step 4: List all factors in order

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Step 5: Verify with division

Check: 360 ÷ 24 = 15 ✓, 360 ÷ 15 = 24 ✓

24 × 15 = 360
Prime factorization: 2³ × 3² × 5
All factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Final Answer:

24 × 15 = 360 using mental math. Prime factorization: 2³ × 3² × 5. All factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.

Applied Rules:

• Mental Math: Break problems into easier parts

• Distributive Property: a×(b+c) = a×b + a×c

• Prime Factorization: Express as product of primes raised to powers

• Factor Counting: Use prime factorization to find all factors systematically

Multiplication Fluency Video Learning Guide
a × b = c
Multiplication Formula
Key definitions:

Factor: Numbers that multiply together to make a product

Multiple: The result of multiplying a number by an integer

Prime Number: A number with exactly two factors: 1 and itself

Composite Number: A number with more than two factors

Least Common Multiple (LCM): Smallest number that is a multiple of both numbers

Greatest Common Factor (GCF): Largest number that divides both numbers evenly

Complete methodology:
  1. Watch the video: Pay attention to visual demonstrations
  2. Pause and practice: Work through examples as shown
  3. Memorize tables: Know multiplication facts up to 12×12
  4. Apply tricks: Use finger methods, distributive property, etc.
  5. Find factors: Systematically check divisibility up to square root
  6. Generate multiples: Multiply by 1, 2, 3, 4...
  7. Recognize patterns: Identify number relationships
  8. Apply properties: Use commutative, distributive, identity properties
  9. Verify results: Use multiple methods to confirm
Tip 1: To multiply by 9, multiply by 10 and subtract the original number.
Tip 2: All multiples of 3 have digits that add up to a multiple of 3.
Tip 3: To find all factors, only check up to the square root of the number.
Tip 4: Use the commutative property to solve harder problems with easier ones.
Tip 5: Remember: 2 is the only even prime number.
Tip 6: To multiply by 5, multiply by 10 and divide by 2.
Tip 7: To multiply by 4, double the number twice.
Common errors: Mixing up factors and multiples, forgetting 1 and the number itself as factors, not verifying answers.
Video learning: Take notes, pause frequently, replay difficult sections.
Essential facts to memorize:

• Multiplication tables: 1× to 12×

• Prime numbers up to 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

• Multiples of 10: always end in 0

• Multiples of 5: always end in 0 or 5

• Even numbers: multiples of 2

• Properties: a×b=b×a, a×(b+c)=a×b+a×c, a×1=a

Multiplication Video Questions & Answers

Question: I keep forgetting my multiplication tables. How can watching videos help me remember them better?

Answer: Videos help in several ways:

  • Visual Memory: Seeing the process creates stronger memories
  • Repetition: You can watch videos multiple times
  • Engagement: Moving images hold attention better than static text
  • Multiple Methods: Videos show different approaches to the same problem

For example, watching the 9s finger method video repeatedly will help you remember it. The visual of bending fingers creates a lasting memory!

Pause and practice along with videos for best results.

Question: What should I do while watching multiplication videos to learn better?

Answer: Active learning techniques while watching videos:

  • Take Notes: Write down key steps and rules
  • Pause and Practice: Work through examples yourself
  • Ask Questions: Think about why methods work
  • Repeat Steps: Try problems along with the video
  • Replay: Watch difficult sections multiple times

For example, when watching the distributive property video, pause and calculate 8×13 yourself using the method shown. Then continue to see if you got it right!

Active participation makes video learning much more effective than passive watching.

Question: How can I use video techniques to multiply by 9? The 9s table is hard for me.

Answer: Video demonstrations make the 9s techniques especially clear:

  1. Finger Method Video: Shows exactly how to position and bend fingers
  2. Visual Pattern: You can see the left-right finger counting clearly
  3. Digit Sum Rule: Videos demonstrate why digits always add to 9

For 9×7:

  • Watch the finger method video carefully
  • Practice bending the 7th finger
  • Count 6 fingers left, 3 fingers right → 63

The visual reinforcement makes the pattern unforgettable!

Question: What's the best way to practice after watching multiplication videos?

Answer: Effective post-video practice:

  1. Immediate Practice: Try 3-5 similar problems right away
  2. Spaced Repetition: Practice again later that day
  3. Variety: Mix different types of problems
  4. Self-Testing: Don't just repeat, actually test yourself
  5. Teach Someone: Explain the method to another person

For example, after watching the distributive property video:

  • Try 7×12, 6×14, 9×11 immediately
  • Review the technique before bed
  • Test yourself the next morning

Active recall is more effective than rewatching videos!

Question: How do I know if I'm learning multiplication effectively from videos?

Answer: Signs of effective video learning:

  • Retention: You remember methods after a day or two
  • Application: You can use techniques on new problems
  • Speed: You get faster with practice
  • Confidence: You feel sure about your answers
  • Explanation: You can explain the method to others

For example, if you watched the commutative property video:

  • Can you solve 7×8 using 8×7?
  • Can you apply this to other problems?
  • Do you understand why it works?

True learning shows in your ability to adapt and apply concepts!