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Elementary arithmetic
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=== Example of multiplication for multiple-digit factors === Multiplying 789 and 345, starting with the ones column, the product of 789 and 5 is 3945. {|style="border-collapse: collapse; border-spacing: 2px; text-align:center" | ||7 ||8 ||9 |- |style="border-bottom: 1px solid black;"|Γ ||style="border-bottom: 1px solid black;"|3 ||style="border-bottom: 1px solid black;"|4 ||style="border-bottom: 1px solid black;"|5 |- |3 ||9 ||4 ||5 |} 4 is in the tens digit. The multiplier is 40, not 4. The product of 789 and 40 is 31560. {|style="border-collapse: collapse; border-spacing: 2px; text-align:center" |- | | ||7 ||8 ||9 |- | | style="border-bottom: 1px solid black;" |Γ || style="border-bottom: 1px solid black;" |3 || style="border-bottom: 1px solid black;" |4 || style="border-bottom: 1px solid black;" |5 |- | |3 ||9 ||4 ||5 |- |3 |1 ||5 ||6 ||0 |} 3 is in the hundreds digits. The multiplier is 300. The product of 789 and 300 is 236700. {| style="border-collapse: collapse; border-spacing: 2px; text-align:center" | | | ||7 ||8 ||9 |- | | |style="border-bottom: 1px solid black;"|Γ ||style="border-bottom: 1px solid black;"|3 ||style="border-bottom: 1px solid black;"|4 ||style="border-bottom: 1px solid black;"|5 |- | | |3 ||9 ||4 ||5 |- | |3 |1 ||5 ||6 ||0 |- |2 |3 |6 ||7 ||0 ||0 |} Adding all the products, {|style="border-collapse: collapse; border-spacing: 2px; text-align:center" | || || || ||7 ||8 ||9 |- |style="border-bottom: 1px solid black;"|Γ ||style="border-bottom: 1px solid black;"| ||style="border-bottom: 1px solid black;"| ||style="border-bottom: 1px solid black;"| ||style="border-bottom: 1px solid black;"|3 ||style="border-bottom: 1px solid black;"|4 ||style="border-bottom: 1px solid black;"|5 |- | || || ||3 ||9 ||4 ||5 |- | || ||3 ||1 ||5 ||6 ||0 |- |style="border-bottom: 1px solid black;"|+ ||style="border-bottom: 1px solid black;"|2 ||style="border-bottom: 1px solid black;"|3 ||style="border-bottom: 1px solid black;"|6 ||style="border-bottom: 1px solid black;"|7 ||style="border-bottom: 1px solid black;"|0 ||style="border-bottom: 1px solid black;"|0 |- | ||2 ||7 ||2 ||2 ||0 ||5 |} The result: :<math>789 \times 345 = 272205</math>
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