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...the remaining 4 (four) were placed in the tens column to the left of the 0 (zero) that was already there. Next, 3 (three) was subtracted from the 9 (nine) in the hundreds place, leaving 6 (six); this was placed in the hundreds column to the left of the 4. Since there were no more digits left to subtract from, the remaining digits from the original number were brought down to their respective places on the left—that is, the digit in the thousands place stayed in the thousands place. Thus, subtracting 360 (three hundred sixty) from 10,000 (ten thousand) leaves a remainder of 9640 (nine thousand six hundred forty). This method should be understood for other problems as well.
The method of multiplication is now explained in two and a half verses. This operation of multiplication original: guṇana is of five types:
1. Multiplication by Form original: rūpaguṇā - standard multiplication using the multiplier as it is
2. Multiplication by Place original: sthānaguṇā - multiplication based on the decimal position
3. Multiplication by Division original: vibhāgaguṇā - breaking the multiplier into factors
4. Multiplication by Parts original: khaṇḍaguṇā - breaking the multiplier into additive parts
5. Multiplication by a Desired Number original: iṣṭaguṇā.
The number by which we multiply is called the multiplier original: guṇaka and the number being multiplied is called the multiplicand original: guṇya.
(Rule 2) Multiply the last digit of the multiplicand by the multiplier;
then, shifting the multiplier, do the same for the penultimate digit,
and so on for the preceding ones. || 4 ||
Word-for-word connection: Multiply the last digit of the multiplicand with the multiplier. In this way, by shifting the multiplier, multiply the penultimate digit. In this same way, multiply all the preceding digits in order. || 4 ||
Meaning: Multiply the final digit of the multiplicand by the multiplier; then, move the multiplier over and multiply the next digit beside it. Continue this process, using the same multiplier to multiply all the digits from the end to the beginning in sequence. Because the multiplier is used in its natural form its "rūpa" to perform the multiplication, this is called "Multiplication by Form" rūpaguṇā. || 4 ||
O girl! O Lilavati, whose eyes are as restless as those of a young fawn!
O auspicious one! Tell me: if you are skilled in the methods of
multiplication by form, place, division, and parts,
what would be the result of the digits 135 original: pañca-try-eka (five, three, one). In ancient Indian math, numbers are often listed from units place upwards, so 5-3-1 represents 135
multiplied by 12 original: divākara (the Sun). In Sanskrit poetic math, "Sun" is a code for 12, representing the twelve solar months or aspects of the sun?
And tell me, what would those multiplied digits be if they were then
divided by that same multiplier? || 2 ||
Word-for-word connection: O girl! O you with restless eyes like a young deer! O Lilavati! O auspicious one! If you are capable in multiplication by form, place, division, and parts, then tell me: how much would the digits measured as five-three-one (135) be when multiplied by twelve? Furthermore, tell me how much they would be when those product digits are divided by that same multiplier. || 2 ||