Manual Arithmetic
A typical example of carry is in the following pencil-and-paper addition:
¹ 27 + 59 ---- 867 + 9 = 16, and the digit 1 is the carry.
The opposite is a borrow, as in
−1 47 − 19 ---- 28Here, 7 − 9 = −2, so try (10 − 9) + 7 = 8, and the 10 is got by taking ("borrowing") 1 from the next digit to the left. There are two ways in which this is commonly taught:
- The ten is moved from the next digit left, leaving in this example 3 − 1 in the tens column. According to this method, the term "borrow" is a misnomer, since the ten is never paid back.
- The ten is copied from the next digit left, and then 'paid back' by adding it to the subtrahend in the column from which it was 'borrowed', giving in this example 4 − (1 + 1) in the tens column.
Read more about this topic: Carry (arithmetic)
Famous quotes containing the words manual and/or arithmetic:
“Criticism is infested with the cant of materialism, which assumes that manual skill and activity is the first merit of all men, and disparages such as say and do not, overlooking the fact, that some men, namely, poets, are natural sayers, sent into the world to the end of expression, and confounds them with those whose province is action, but who quit to imitate the sayers.”
—Ralph Waldo Emerson (1803–1882)
“Under the dominion of an idea, which possesses the minds of multitudes, as civil freedom, or the religious sentiment, the power of persons are no longer subjects of calculation. A nation of men unanimously bent on freedom, or conquest, can easily confound the arithmetic of statists, and achieve extravagant actions, out of all proportion to their means; as, the Greeks, the Saracens, the Swiss, the Americans, and the French have done.”
—Ralph Waldo Emerson (1803–1882)