Multiplication Calculator

Multiply multiple numbers instantly with step-by-step solutions. Calculate products of integers, decimals, and mixed numbers.

Enter Numbers to Multiply

Formula

Product = a × b × c × ... × n

Where:

Product =The result of multiplication
a, b, c, ... =Individual factors to be multiplied
n =The last factor in the sequence

Multiplication Properties

Commutative Property

a × b = b × a

Order doesn't matter

Associative Property

(a × b) × c = a × (b × c)

Grouping doesn't matter

Identity Property

a × 1 = a

Multiplying by 1 keeps number unchanged

Zero Property

a × 0 = 0

Any number times zero equals zero

Multiplication Examples

Whole Numbers

6 × 7 = 42

Decimals

2.5 × 1.4 = 3.5

Negative Numbers

(-3) × 4 = -12

Multiple Factors

2 × 3 × 4 = 24

Multiplication Table (1-10)

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

Quick Multiplication Tips

• By 10: Add a zero to the end
• By 5: Multiply by 10, then divide by 2
• By 9: Multiply by 10, then subtract original number
• Doubles: Use known doubles (6×8 = 6×2×4 = 12×4 = 48)
• Breaking apart: 23×4 = (20×4) + (3×4) = 80 + 12 = 92

Understanding Multiplication

What is Multiplication?

Multiplication is a mathematical operation that represents repeated addition. It's one of the four fundamental arithmetic operations and is essential for advanced mathematics.

Multiplication Strategies

Repeated addition: 4×3 = 4+4+4 = 12
Arrays: Visualize rows and columns
Skip counting: Count by the first number
Doubling: Use known facts to find new ones

Real-World Applications

• Shopping: Calculating total costs (price × quantity)
• Area calculation: Length × width for rectangles
• Time conversion: Hours × 60 = minutes
• Cooking: Scaling recipes up or down
• Finance: Interest calculations, compound growth
• Engineering: Force calculations, scaling dimensions

Common Mistakes

• Confusing multiplication with addition
• Sign errors with negative numbers
• Decimal point placement in decimal multiplication
• Forgetting the zero property

Frequently Asked Questions - Multiplication Calculator

Multiplication is a mathematical operation that represents repeated addition. For example, 3 × 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Tips

Enter the dimensions in the same unit for consistency.
Results update automatically as you type.
Use the unit selector to convert between different measurement systems.

100

Understanding Multiplication

What is Multiplication?

Multiplication is a mathematical operation that represents repeated addition. It's one of the four fundamental arithmetic operations and is essential for advanced mathematics.

Multiplication Strategies

Repeated addition: 4×3 = 4+4+4 = 12
Arrays: Visualize rows and columns
Skip counting: Count by the first number
Doubling: Use known facts to find new ones

Real-World Applications

• Shopping: Calculating total costs (price × quantity)
• Area calculation: Length × width for rectangles
• Time conversion: Hours × 60 = minutes
• Cooking: Scaling recipes up or down
• Finance: Interest calculations, compound growth
• Engineering: Force calculations, scaling dimensions

Common Mistakes

• Confusing multiplication with addition
• Sign errors with negative numbers
• Decimal point placement in decimal multiplication
• Forgetting the zero property

Frequently Asked Questions - Multiplication Calculator

Multiplication is a mathematical operation that represents repeated addition. For example, 3 × 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Multiplication Calculator

Enter Numbers to Multiply

Formula

Where:

Multiplication Properties

Multiplication Examples

Multiplication Table (1-10)

Quick Multiplication Tips

Understanding Multiplication

What is Multiplication?

Multiplication Strategies

Real-World Applications

Common Mistakes

Frequently Asked Questions - Multiplication Calculator

What is multiplication?

What are the properties of multiplication?

How do negative numbers affect multiplication?

How do you multiply decimals?

What happens when you multiply by zero?

Tips

Multiplication Calculator

Enter Numbers to Multiply

Formula

Where:

Multiplication Properties

Multiplication Examples

Multiplication Table (1-10)

Quick Multiplication Tips

Understanding Multiplication

What is Multiplication?

Multiplication Strategies

Real-World Applications

Common Mistakes

Frequently Asked Questions - Multiplication Calculator

What is multiplication?

What are the properties of multiplication?

How do negative numbers affect multiplication?

How do you multiply decimals?

What happens when you multiply by zero?

Tips

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100