# Multiplication - traditional method (long multiplication)

Is a way to multiply large numbers but you only need knowledge up to your ten times tables.

That’s correct. Only up to ten; Wow, that deserves a high ten.

Example 1

612times24

 6 1 2 times 2 4 1 2, 2 4 0 + 2, 4 4 8 1 4, 6 8 8

To see this step by step

## Multiplication - traditional method (long multiplication) step by step

Example 1

612times24

 6 1 2 Always put the lower number lined up below the other number in their units times 2 4

 6 1 2 Start by multiplying the two on the 24 but put a zero in the next line to remember it is made up of 20 not 2 times 2 4 0

 6 1 2 times 2 4 Now multiply the top number by 2 1 2, 2 4 0

 6 1 2 times 2 4 Now multiply the top number by 4 1 2, 2 4 0 2, 4 4 8

 6 1 2 times 2 4 1 2, 2 4 0 + 2, 4 4 8 Add 12,240 to 2,448 1 4, 6 8 8

Answer: 612times24=14,688

Answer: 612times24=14,688

Example 2

423times213

 4 2 3 times 2 1 3 8 4, 6 0 0 4, 2 3 0 + 1, 2 6 9 9 0, 0 9 9 1 1

To see this step by step

## Multiplication - traditional method (long multiplication) step by step

Example 2

423times213

 4 2 3 Always put the lower number lined up below the other number in their units times 2 1 3

 4 2 3 times 2 1 3 Start by multiplying the 2 of the 213 but first put two zeros on the next line to remember it is made up of 200 not 2 0 0

 4 2 3 times 2 1 3 Now multiply the top number by 2 8 4, 6 0 0

 4 2 3 times 2 1 3 Now multiply the 1 of the 213 but put one zero on the next line to remember it is made up of 10 not 1 8 4, 6 0 0 0

 4 2 3 times 2 1 3 8 4, 6 0 0 Now multiply the top number by 1 4, 2 3 0

 4 2 3 times 2 1 3 8 4, 6 0 0 Now multiply the top number by 3 4, 2 3 0 1, 2 6 9

 4 2 3 times 2 1 3 8 4, 6 0 0 Add 84,600 to 4,230 and 1,269 4, 2 3 0 + 1, 2 6 9 9 0, 0 9 9 1 1

Answer: 423times213=90,099

Answer: 423times213=90,099

Example 3

158times5

 1 5 8 times 5 7 9 0 2 4

To see this step by step

## Multiplication - traditional method (long multiplication) step by step

Example 3

158times5

 1 5 8 times 5 Always put the lower number lined up below the other number in their units

 1 5 8 times 5 Start by multiplying 8times5 but carry over the 4 to below the line of the tens unit 0 4

 1 5 8 times 5 Multiply the 5times5 but add 4 to the answer of 25 to give 29.  Now carry over the 2 by putting it below the line of the hundreds column. 9 0 2 4

 1 5 8 times 5 Multiply the 5times1 but add the 2 below the line to give 7 7 9 0 2 4

158times5=790

Answer: 158times5=790

Example 4

57times46

 5 7 times 4 6 2, 2 8 0 2 3 4 2 4 2, 6 2 2 1

To see this step by step

## Multiplication - traditional method (long multiplication) step by step

Example 4

57times46

 5 7 times 4 6 Always put the lower number lined up below the other number in their units

 5 7 Start by multiplying the 4 on the 46 but put the one zero on the next line to remember it is made up of 40 not 4 times 4 6 0

 5 7 Now multiply the top number by 4. The first answer is 4times7=28 but carry the two in small writing underneath the next units times 4 6 8 0 2

 5 7 Now multiply the 4times5=20 but don't forget to add the carrying unit underneath the 2 to make 22 times 4 6 2, 2 8 0 2

 5 7 Now multiply the top number by 6. The first answer 6xx7=42 but carry the 4 in small writing underneath the next unit. times 4 6 2, 2 8 0 2 2 4

 5 7 Now multiply 5times6=30 but don't forget to add the carry unit underneath of 4 to make 34 times 4 6 2, 2 8 0 2 3 4 2 4

 5 7 Now add 2,280 to 342 and ignore all the little carried numbers.2+0=24+8=12Carry the 1 in small writing underneath the next unit times 4 6 2, 2 8 0 2 3 4 2 4 2 2 1

 5 7 2+3=5Don't forget to add the carrying unit underneath of 1 to make 62+0=2 times 4 6 2, 2 8 0 2 3 4 2 4 2, 6 2 2 1

57times46=2,622
Answer: 57times46=2,622