Triple-Digit Multiplication

Wow. You're up to three-digit numbers for multiplication. Let's look at or possible choices and see an example for each one. Don't forget to add the zero at the end of numbers when you multiply two or more times. One zero for the tens number, two zeros for the hundreds, etc.

Three-digit multiplied by a one-digit number (no carrying):
123 x 3 = ?
(1) 3 x 3 = 9 (the ones)
(2) 2 x 3 = 6 (the tens)
(3) 1 x 3 = 3 (the hundreds)
Answer: 123 x 3 = 369

Three-digit number multiplied by a two-digit number (no carrying):
424 x 12 = ?
First Part (424 x 2):
(1) 4 x 2 = 8
(2) 2 x 2 = 4
(3) 4 x 2 = 8
Answer: 424 x 2 = 848

Second Part (424 x 1):
(1) 4 x 1 = 4
(2) 2 x 1 = 2
(3) 4 x 1 = 4
Answer: 424 x 1 = 424

Third Part (848 + 4240 -- We added the zero):
848 + 4240 = 5,088

Three-digit number multiplied by a three-digit number (no carrying):
213 x 332 = ?
First Part (213 x 2):
(1) 2 x 2 = 4
(2) 1 x 2 = 2
(3) 3 x 2 = 6
Answer: 213 x 2 = 426

Second Part (213 x 3):
(1) 2 x 3 = 6
(2) 1 x 3 = 3
(3) 3 x 3 = 9
Answer: 213 x 1 = 639

Third Part (213 x 3):
(1) 2 x 3 = 6
(2) 1 x 3 = 3
(3) 3 x 3 = 9
Answer: 213 x 1 = 639

Third Part (426 + 6390 + 63900 -- We added the zeros):
426 + 6390 + 63900 = 70,716

Patience and Attention to Detail

We admit that sometimes we get frustrated when doing long multiplication problems. It's not very exciting and it's very repetitive. But to get the correct answer, you need to stick with the process. If you skip a step or make a mistake in simple addition, you will get the wrong answer. You will also probably lose some points on a test. Just be patient when you're working through the three multiplication problems and additions in a problem that has bigger numbers. Arithmetic is easy when you know the basics, no matter what the numbers look like.

More Than Three Digits

You should be used to this now. The numbers will just get bigger as you learn more math. It's not a bad thing or a scary thing. Why? You don't need to worry because you will know the basic steps to solve any multiplication problem. You can be given a number in the hundreds (100+) or a number in the trillions (1,000,000,000,000+) and you will know how to get the answer. Don't expect to solve the big numbers quickly. It will take more time, but it will not be more difficult. Congratulations! And, remember to keep practicing that multiplication.

RELATED ACTIVITIES

One and Three-Digit Multiplication Quiz (Carrying)
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Two and Three-Digit Multiplication Quiz (No Carrying)
- Play Activity

RELATED LINKS

- Numbernut: More Basic Math
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