Multi-digit Multiplication

Objective

Know how to multiply numbers with many digits.

Example

2 4 3

1 2 2

4 6 5

5 8 7

x 5 3 8

4 6 9 6

1 7 6 1 0

+ 2 9 3 5 0 0

3 1 5 8 0 6

Answer: 315806

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Explanation

If you're thinking, "It's much easier to use a calculator for these. Who would do long multiplication when they could just use a calculator?" you are correct. However, in response I would say,

• who always has a calculator with them?

• calculators die

• cell phones run out of batteries

• if you just have 1 or 2 questions like this to do, sometimes it's easier to just do it by hand than run around trying to borrow a calculator

• some tests don't allow calculators

For an explanation of how to multiply multi-digit numbers, Click Here.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Examples

Example 1

2 4

1 2

5 8

x 5 3

1 7 4

+ 2 9 0 0

3 0 7 4

Answer: 3074

~~~~~~~~~~~~~~~~~~~

Example 2

2 4 3

1 2 2

5 8 7

x 5 3

1 7 6 1

+ 2 9 3 5 0

3 1 1 1 1

Answer: 31111

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Practice your skills