In the left-hand side of the first equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the products added afterwards.
Because these give the same final answer (8), it is said that multiplication by 2 distributes over addition of 1 and 3.
Since one could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.
Omaha (March 24, 1932 – April 24, 1959) was a United StatesThoroughbred horse racing champion. In a racing career which lasted from 1934 through 1936, he ran twenty-two times and won nine races. He had his greatest success as a three-year-old in 1935, when he won the Triple Crown. As a four-year-old, he had success running in England, where he narrowly lost the Ascot Gold Cup.
The horse was owned by and bred William Woodward, Sr.'s famous Belair Stud in Bowie, Maryland. He was trained by Sunny Jim Fitzsimmons, who also trained Omaha's sire to the Triple Crown. As a yearling, Omaha was leggy and awkward-looking but a favorite of Woodward, who reportedly considered sending the horse to England to be trained for the Epsom Derby. In the event, Omaha's move to England was postponed until 1936. He was ridden to his biggest wins by Canadian jockey Smokey Saunders.