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Q: How is multiplying by 3 digit number similar to multiplying by 1 digit number?

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They are the same because they are both multiplication. They also can be the same if the two digit number times by the one digit number equals a three digit number. They are different because the 3 digits number will obviously produce a higher product.

your answer will be the result of 999 times 9

999 x 9 = 8991

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2

111 111 111 If you multiply 12345679 by any two digit number* where the first digit is less than 9 and the sum of the digits is 9 (eg 36), the answer will consist of a single digit repeated 9 times. This will be the first digit of the two digit number plus 1 (eg multiplying by 36 will create an number consisting of only the digit 3+1 = 4: 12345679 x 36 = 444 444 444). *Multiplying by 9 is multiplying by the "two" digit number "09", giving an answer consisting of the single digit 0+1 = 1 repeated.

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24 x 99 = 2376

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If multiplying 3 digit numbers with 2 digit numbers. For example; 345 x 92= First you will start with 2 by multiplying it by 5 then carry the 1 above the 4 then multiply the "2" with 4 then add the number on-top of the 4 which is 1 and it will give you 9. 4 x 2= 8+1=9. Then times the 2 by 3 which is 6. That is not your answer, yet. 690 plus the amount you get by multiplying 9 by every number, 5 then carry the number, 4 times 9, plus the number above it, then carry the 3 on top of the 3. Then add your total to 690 or what ever your equation is.

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