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- Compute 74 23 using the all-partials method or the expanded-form method.
Step 1.
To compute 74 23 using the compact method, Nicholas first multiplied 4 3 = 12. He put a 2 in the ones column and a 1 above the problem as a reminder of the 1 ten. He then multiplied 4 20 = 80. He now has 8 tens and the extra 1 ten, so he has 9 tens altogether. Nicholas wrote a 9 in the tens column.
Step 2.
Nicholas then multiplied 70 3 = 210. He put a 0 in the ones column and a 1 in the tens column. He crossed out the 1 above the problem since he had taken care of the 1 ten. He put a 2 to the left of the 1 as a reminder that he has 2 hundreds.
Step 3.
Nicholas then multiplied 70 20 = 1400. He added the 200 from his reminder to the 1400 and got 1600. Nicholas put a 6 in the hundreds
column and a 1 in the thousands column. He didn't have to carry the 1 thousand because he had no more partial products to compute.
Step 4.
Nicholas added the numbers from each row and found the product 74 23 = 1702.
