Answer :
Answer:
442,265
Step-by-step explanation:
You want the product of 197 and 2245.
Product
A calculator can find this for you easily.
197 × 2245 = 442,265
Long Multiplication
The usual multiplication algorithm has you multiply each digit of the multiplier by each digit of the multiplicand. The final product is the sum of partial products.
This is usually accomplished by writing the shorter number on the second line of the work, then filling in partial products below that as they are developed. Usually, carries are handled mentally.
For example, the rightmost digit of the first partial product is the units digit of 7×5 = 35. The tens digit is the carry into the next column. That carry of 3 is added to the product 7×4 = 28, so the recorded digit in that column for that partial product is the units digit of 28+3 = 31, or 1.
The key is keeping the place values straight. This is why the numbers and partial products are typically arranged in a strict grid, with each column representing the appropriate place value.
The attachment shows the sum of partial products is 442,265.
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Additional comment
This process is usually taught in grade 5 or earlier. It helps immensely to have memorized the single-digit multiplication tables.
These particular numbers lend themselves to a shortcut.
197 × 2245 = (200 -3)(2245) = 200(2245) -3(2245)
= 449000 -6735 = 442265
Most of this can be done mentally, so you only need to write as much as is shown here.
