Multiplying Large Numbers
Multiply Using Place Value (A)
Break apart and multiply. Example: 34 × 3 → 30×3=90, 4×3=12, so 90+12=102.
Multiply Using Place Value (B)
Find the missing part. The total is the product of the multiplication.
Match Multiplications to Answers (A)
Draw a line from each multiplication to its answer.
Match Multiplications to Answers (B)
Draw a line from each multiplication to its answer.
Quick Multiply (A)
Circle the correct answer.
12 × 5 = ?
25 × 4 = ?
30 × 7 = ?
50 × 6 = ?
Quick Multiply (B)
Circle the correct answer.
45 × 2 = ?
36 × 3 = ?
28 × 4 = ?
55 × 5 = ?
Multiply Two-Digit by One-Digit (A)
Calculate each multiplication. Show your working.
34 × 3 = ___
47 × 5 = ___
63 × 4 = ___
78 × 6 = ___
Multiply Two-Digit by One-Digit (B)
Calculate each multiplication.
56 × 7 = ___
82 × 8 = ___
94 × 3 = ___
67 × 9 = ___
Multiply Three-Digit by One-Digit (A)
Calculate each multiplication. Show your working.
124 × 3 = ___
235 × 4 = ___
318 × 5 = ___
467 × 6 = ___
Multiply Three-Digit by One-Digit (B)
Calculate each multiplication.
153 × 7 = ___
284 × 8 = ___
392 × 9 = ___
506 × 4 = ___
Multiplication Patterns
Find the pattern and fill in the missing numbers.
Sort: Products Less Than or Greater Than 200
Estimate each product and sort it.
Estimate First (A)
Before multiplying, circle the best estimate.
23 × 14 ≈ ?
45 × 12 ≈ ?
31 × 19 ≈ ?
52 × 21 ≈ ?
Estimate First (B)
Round each number to the nearest 10 to estimate.
38 × 22 ≈ ?
47 × 31 ≈ ?
63 × 18 ≈ ?
29 × 42 ≈ ?
Break Apart for Two-Digit Multiplication
Break the second number into tens and ones. Example: 23 × 14 = 23×10 + 23×4.
Multiply Two-Digit by Two-Digit (A)
Calculate each multiplication. Use the grid method or long multiplication.
23 × 14 = ___
36 × 12 = ___
45 × 15 = ___
Multiply Two-Digit by Two-Digit (B)
Calculate each multiplication.
28 × 16 = ___
53 × 24 = ___
67 × 13 = ___
Multiply Two-Digit by Two-Digit (C)
Calculate each multiplication. Show all working.
41 × 25 = ___
72 × 18 = ___
85 × 22 = ___
Match Two-Digit Products
Draw a line from each multiplication to its answer.
Which Is the Correct Product?
Circle the correct answer.
34 × 11 = ?
25 × 12 = ?
43 × 21 = ?
56 × 15 = ?
Multiplication Word Problems (Two-Digit)
Solve each problem. Show your working.
A cinema has 24 rows with 18 seats in each row. How many seats are there?
A farmer plants 35 rows of trees with 16 trees in each row. How many trees?
Estimate Then Multiply
First estimate by rounding, then calculate the exact answer.
Estimate: 38 × 12 ≈ ___ Exact: 38 × 12 = ___
Estimate: 47 × 23 ≈ ___ Exact: 47 × 23 = ___
Estimate: 62 × 19 ≈ ___ Exact: 62 × 19 = ___
Multiply Three-Digit by Two-Digit (A)
Calculate carefully. Show all your working.
245 × 13 = ___
312 × 24 = ___
158 × 16 = ___
Multiply Three-Digit by Two-Digit (B)
Calculate carefully.
427 × 15 = ___
536 × 21 = ___
183 × 32 = ___
Multiply Three-Digit by Two-Digit (C)
Use your preferred method.
604 × 18 = ___
275 × 36 = ___
349 × 27 = ___
Multiply Four-Digit by One-Digit
Calculate these larger multiplications.
1,234 × 5 = ___
2,568 × 3 = ___
4,075 × 8 = ___
Check with Estimation
One of these answers is wrong. Circle the WRONG answer.
Which is WRONG?
Which is WRONG?
Which is WRONG?
Multiplication Word Problems (A)
Solve each problem. Show your working.
If a pack of 12 pencils costs $3, how much would 15 packs cost?
Your family drives 245 km each week. How far do you drive in 4 weeks?
Multiplication Word Problems (B)
Solve each problem.
A box holds 36 eggs. How many eggs are in 13 boxes?
A school has 28 classrooms with 25 desks each. How many desks altogether?
Multiplication Word Problems (C)
Solve these multi-step problems.
A baker makes 125 loaves per day. How many in a 5-day working week? How many in 4 weeks?
Tickets cost $18 each. A group of 24 people buy tickets. How much do they pay altogether?
Multiplication Puzzle
Find the missing numbers.
___ × 7 = 357 (What is the missing number?)
25 × ___ = 625 (What is the missing number?)
___ × 12 = 468 (What is the missing number?)
35 × ___ = 1,050 (What is the missing number?)
Multiply by 10, 100, 1000 (A)
Circle the correct answer.
34 × 10 = ?
56 × 100 = ?
7 × 1,000 = ?
120 × 10 = ?
Multiply by 10, 100, 1000 (B)
Circle the correct answer.
450 × 10 = ?
23 × 1,000 = ?
8 × 100 = ?
300 × 100 = ?
Multiply 2-Digit by 1-Digit (A)
Calculate.
47 × 6 = ___
83 × 5 = ___
56 × 8 = ___
92 × 4 = ___
Multiply 2-Digit by 1-Digit (B)
Calculate.
67 × 7 = ___
78 × 9 = ___
45 × 6 = ___
99 × 3 = ___
Multiplication Bonds (A)
Find the product.
Match Multiplications to Products
Draw a line.
Multiply 3-Digit by 1-Digit (A)
Calculate.
234 × 5 = ___
187 × 4 = ___
356 × 7 = ___
409 × 8 = ___
Multiply 3-Digit by 1-Digit (B)
Calculate.
523 × 6 = ___
648 × 3 = ___
175 × 9 = ___
890 × 4 = ___
Multiply 2-Digit by 2-Digit (Extra A)
Use any method.
23 × 14 = ___
35 × 22 = ___
46 × 18 = ___
Multiply 2-Digit by 2-Digit (Extra B)
Show your working.
57 × 26 = ___
84 × 15 = ___
63 × 34 = ___
Estimate the Product (A)
Circle the best estimate.
48 × 7 ≈ ?
192 × 5 ≈ ?
33 × 28 ≈ ?
125 × 8 ≈ ?
Sort: Product Greater or Less Than 500?
Sort each calculation.
Multi-Step Multiplication (A)
Solve.
A school orders 35 packs of 12 pencils. How many pencils? ___
Each classroom has 28 desks. There are 15 classrooms. Total desks: ___
A car travels 85 km/h for 6 hours. Total distance: ___
Multi-Step Multiplication (B)
Solve.
A theatre has 24 rows of 36 seats. Total seats: ___
A farmer plants 45 rows of 18 trees. How many trees? ___
375 students each donate $8 for a charity. Total raised: ___
Multiplication Properties
Circle TRUE or FALSE.
25 × 4 = 4 × 25 (commutative property)
Any number × 0 = 0
Any number × 1 = the number itself
Multiplying by 10 adds a zero to the end
Match Multiplication Strategy to Example
Draw a line.
Multiply 3-Digit Numbers (A)
Find the product.
Reasonable Product? (B)
Circle the most reasonable answer.
234 × 7
56 × 43
125 × 8
309 × 6
Sort Products: Less Than or Greater Than 2,000?
Estimate to sort.
Grid Multiplication Method (A)
Use the grid method to multiply.
Calculate 46 × 37 using the grid method. Show the grid:
Calculate 83 × 56 using the grid method:
Multiplication with Decimals
Multiply.
4.5 × 6 = ___
3.2 × 8 = ___
12.5 × 4 = ___
7.8 × 5 = ___
Geometric Sequences (Multiplication)
Each term is multiplied by a common ratio. Continue the pattern.
School Bake Sale Income
Each icon = $50 earned. Bake sale income by item.
| Cupcakes | |
| Cookies | |
| Slices | |
| Muffins |
Total income?
How many cupcakes sold if they cost $2.50 each?
Difference between cupcakes and muffins income?
Target was $1,200. Did they reach it?
Multiplication Strategies Used by Class
Students used different strategies to multiply 24 × 37.
| Item | Tally | Total |
|---|---|---|
Grid method | ||
Splitting | ||
Algorithm | ||
Rounding and adjusting |
Compare Multiplication Results
Tick which product is larger.
36 × 6 = 216 vs 45 × 5 = 225 — which is larger?
48 × 8 = 384 vs 43 × 9 = 387 — which is larger?
Multiplication Investigations (A)
Investigate patterns.
Calculate: 11 × 11 = ___, 12 × 12 = ___, 13 × 13 = ___, 14 × 14 = ___
What pattern do you notice in these square numbers?
Predict: 15 × 15 = ___. Check your answer:
Multiplication Word Problems (C)
Solve and explain your method.
A cinema has 28 rows of 45 seats. Capacity: ___. If tickets cost $15 each and the cinema is 80% full, income: ___
A factory makes 275 items per hour for 8 hours. Total: ___. At $3.50 each, income: ___
Multiplication Strategies (B)
Match each strategy to the example where it is most useful.
Multiplication Bonds: Missing Factor (B)
Find the missing number.
Reasonable Product? (C)
Which estimate is most reasonable?
48 × 23 ≈
67 × 41 ≈
125 × 8 ≈
38 × 52 ≈
Sort Products: Less or More than 500?
Estimate and sort.
Grid Method Revisited (C)
Use the grid method for these calculations.
Draw a grid to calculate 47 × 36:
Use the grid: 83 × 25:
Check your answers by estimating: 47×36 ≈ ___, 83×25 ≈ ___
Multiplying by Powers of 10
Use place value patterns.
34 × 10 = ___, 34 × 100 = ___, 34 × 1000 = ___
Explain the pattern: what happens to the digits when you multiply by 10?
Use this to calculate: 57 × 30 = 57 × 3 × ___ = ___
Multiplication Patterns (B)
Continue each multiplication pattern.
Multi-Step Multiplication Problems
Solve these multi-step problems.
There are 34 classes. Each class has 28 students. How many students total? ___
A school buys 45 boxes of pencils. Each box has 24 pencils. Total pencils: ___. If 5% are broken, how many are usable? ___
Compare Multiplication Strategies
Which gives the correct answer?
23 × 14: grid method (322) vs algorithm (322) — both correct?
45 × 16: splitting (720) vs doubling (720) — same result?
Class Multiplication Challenge
How many 2-digit × 1-digit questions did students get correct?
| Item | Tally | Total |
|---|---|---|
Less than 10 correct | ||
10–14 correct | ||
15–19 correct | ||
All 20 correct |
Multiplication Error Analysis
Find and fix the errors.
Sam calculated 35 × 24 = 720. Is this correct? Show the correct working:
Emma said 'To multiply by 20, I multiply by 2 and add a zero.' Is she right? Explain:
Mental Multiplication: Choose the Best Strategy
Circle the most efficient strategy.
To calculate 25 × 8, the best strategy is:
To calculate 99 × 6, the best strategy is:
To calculate 40 × 35, the best strategy is:
To calculate 64 × 50, the best strategy is:
Home Activity: Multiplication in Real Life
Use multiplication to solve real problems!
- 1If a pack of 12 pencils costs $3, how much would 15 packs cost? Show your working.
- 2Your family drives 245 km each week. How far do you drive in 4 weeks?
- 3A box holds 36 eggs. How many eggs are in 13 boxes?
- 4Time yourself multiplying three-digit numbers. Can you get faster with practice?
Trace Large Numbers (A)
Trace each large number carefully.
Match Multiplications to Products (A)
Draw a line from each multiplication to its product.
Match Multiplications to Products (B)
Match each multiplication to its product.
Estimate the Product (A)
Circle the best estimate.
38 × 7 ≈ ?
62 × 9 ≈ ?
125 × 4 ≈ ?
47 × 8 ≈ ?
Estimate the Product (B)
Circle the best estimate.
312 × 6 ≈ ?
48 × 23 ≈ ?
73 × 15 ≈ ?
96 × 42 ≈ ?
Multiply Using Partitioning (A)
Partition the first number to multiply. Find the missing partial product.
Multiply 3-Digit by 1-Digit (C)
Use the standard algorithm.
456 × 7 = ___
839 × 6 = ___
723 × 8 = ___
548 × 9 = ___
Multiply 4-Digit by 1-Digit (A)
Calculate using any strategy.
1234 × 4 = ___
2345 × 3 = ___
3456 × 2 = ___
5678 × 5 = ___
Multiply 2-Digit by 2-Digit (C)
Calculate using the area method or standard algorithm.
37 × 24 = ___
56 × 31 = ___
48 × 27 = ___
Multiply 3-Digit by 2-Digit (A)
Calculate.
213 × 14 = ___
325 × 12 = ___
416 × 21 = ___
Sort Products: Less Than or Greater Than 1000?
Estimate to sort.
Skip-Count by Large Numbers (A)
Fill in the missing multiples.
Powers of 10 Multiplication (A)
Multiply by powers of 10.
345 × 10 = ___
345 × 100 = ___
345 × 1000 = ___
What pattern do you notice? ___
Multiplication Word Problems (C)
Solve each problem.
A cinema has 45 rows of 28 seats. How many seats in total?
A factory makes 365 cars per week. How many cars in 52 weeks?
Multiplication Word Problems (D)
Solve and show working.
A satellite travels 27,358 km per hour. How far does it travel in 3 hours?
There are 86,400 seconds in a day. How many seconds are in a week?
Multiplication Error Spotting (A)
Circle the INCORRECT answer.
48 × 6 = ?
73 × 5 = ?
124 × 3 = ?
56 × 8 = ?
Match Problems to Solutions (A)
Draw a line from each problem to its solution.
Products in Context
Each icon represents 100 products made. Count for each week.
| Week 1 | |
| Week 2 | |
| Week 3 | |
| Week 4 |
How many products in Week 2?
Which week had the most?
Total products in all 4 weeks?
If each product costs $7, what is Week 3's revenue?
Multiplication Practice Tally
Count how many times students completed each multiplication type.
| Item | Tally | Total |
|---|---|---|
2-digit × 1-digit | ||
3-digit × 1-digit | ||
2-digit × 2-digit | ||
3-digit × 2-digit |
Arrays for Large Multiplication
Count each group. This shows a partial array for the multiplication.
Compare Products (A)
Which product is larger?
36 × 6 vs 27 × 8: which is larger?
45 × 5 vs 55 × 4: which is larger?
32 × 7 vs 37 × 6: which is larger?
Mental Multiplication Strategies (A)
Use mental strategies to calculate.
48 × 5 = 48 × 10 ÷ 2 = ___
99 × 6 = (100 − 1) × 6 = ___
25 × 8 = 25 × 4 × 2 = ___
37 × 4 = 40 × 4 − 3 × 4 = ___
Create Your Own Multiplication Problems
Write and solve your own.
Write a real-life problem that requires multiplying a 3-digit number by a 2-digit number. Solve it.
Write a problem involving millions. E.g. Australia's population times something. Solve it.