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TripleDigit MultiplicationWow. You're up to threedigit numbers for multiplication. Let's look at our possible choices and see an example for each one. Don't forget to add the zero(s) at the end of numbers when you multiply with a two or threedigit factor. Use one zero for the tens value, two zeros for the hundreds value, etc. Check out our page on multiplying with twodigit numbers for an explanation.Example: Threedigit number multiplied by a onedigit 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 Example: Threedigit number multiplied by a twodigit number (no carrying): 424 x 12 = ? Part I (424 x 2): (1) 4 x 2 = 8 (2) 2 x 2 = 4 (3) 4 x 2 = 8 Answer: 424 x 2 = 848 Part II (424 x 1): (1) 4 x 1 = 4 (2) 2 x 1 = 2 (3) 4 x 1 = 4 Answer: 424 x 1 = 424 Part III (848 + 4240 [we added the zero]): 848 + 4240 = 5,088 You might write it this way...
Example: Threedigit number multiplied by a threedigit number (no carrying): 213 x 332 = ? Part I (213 x 2): (1) 2 x 2 = 4 (2) 1 x 2 = 2 (3) 3 x 2 = 6 Answer: 213 x 2 = 426 Part II (213 x 3): (1) 2 x 3 = 6 (2) 1 x 3 = 3 (3) 3 x 3 = 9 Answer: 213 x 1 = 639 Part III (213 x 3): (1) 2 x 3 = 6 (2) 1 x 3 = 3 (3) 3 x 3 = 9 Answer: 213 x 1 = 639 Part IV (426 + 6390 + 63900 [we added the zeros]): 426 + 6390 + 63900 = 70,716 When written at one time...
Patience and Attention to DetailSometimes 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 carrying/regrouping values in a problem that has bigger numbers. Arithmetic is easy when you know the basics, It doesn't matter what the numbers look like or how big they are.More Than Three DigitsYou 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 number problems quickly. It will take more time, but it will not be more difficult. As always, remember to keep practicing your multiplication.RELATED ACTIVITIES

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