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Today, we will learn how to multiply three digit numbers by two digit numbers.
The first step is to multiple the number on the second row, last number. I multiply this by the number on top of it. So this would be 4x3=12. I will write the number in the ones place first and bring the tens place number on top of the tens place number up top. I will continue to multiply the 3, the last number in the bottom row 3x3 and add the 1 that I had to carry over so my answer is 10. I will write 0 in the tens place, carry the 1 so that I will multiply 3x5+1 and write my product of 16 down to finish the row.
11 534 x23 1602
Now, I will add a place holder 0 to show that I am on the second row. Then I will continue to multiply by moving to the tens place on the second row of multiplication and repeat the steps with 2x4, 2x3 and add 1, and 2x5. I write my products starting on the left of the 0 and move to the left.
11 534 x 23 1602 10680
Now I will need to add my multiplication rows together.
1 534 x 23 1602 +10680
I will add from the right and move to the left, writing my sums right to left as well. So, 2+0=2, 0+8=8, 6+6=12, I will write 2 in the tens place and carry the 1 to my hundreds number to add, just like we did for the multiplication part.
1 534 x 23 1 1602 + 10680 282
Now I will add 1+5+6 to get 12, 2 goes into the hundreds place, 1 from the 12 goes on top of the 1 here and I add 1+1+0=2, and the 0+1=1. Final product is 12,272.
1 534 x 23 1 1602 + 10680 122 8 2
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