Arithmetic

Page One Hundred Ninety-Four

Four times five is twenty; this number multiplied by itself|original: 自相乘; zì xiāng chéng yields four hundred. Calculation: $(4 \times 5)^2 = 20^2 = 400$.
　　Divided among four people, each person receives one hundred. Calculation: $400 \div 4 = 100$.

Three times five is fifteen; this number multiplied by itself yields two hundred twenty-five. Calculation: $(3 \times 5)^2 = 15^2 = 225$.
　　Divided among three people, each person receives seventy-five. Calculation: $225 \div 3 = 75$.

Two times five is ten; this number multiplied by itself yields one hundred. Calculation: $(2 \times 5)^2 = 10^2 = 100$.
　　Divided among two people, each person receives fifty. Calculation: $100 \div 2 = 50$.

One times five is|original: 如; rú five; The term "ru" (literally "as" or "like") is a standard term in historical Chinese math rhymes to indicate the result of a single-digit multiplication. this number multiplied by itself yields twenty-five. Calculation: $(1 \times 5)^2 = 5^2 = 25$.
　　One person receives twenty-five.

The total of the "five-five" items original: 條; tiáo. This refers to the five component values in this sequence: 25, 20, 15, 10, and 5. recorded to the right yields seventy-five; this number multiplied by itself yields five thousand, six hundred twenty-five?. Calculation: $(25+20+15+10+5) = 75$. Then $75^2 = 5,625$.