Long Arithmetic

In the realm of mathematics, there's a technique known as Long Arithmetic or Arbitrary-Precision Arithmetic. It relates to the mathematical computation of numbers that possess an indefinite quantity of digits. This method is particularly useful in fields where precision is of utmost importance, such as numerical analysis or cryptography. It requires manual methodologies like long multiplication and long division, or the implementation of algorithms in computer coding.

Adding Using Long Addition

A machinist needs the following lengths of 1-in diameter rods: 8 in, 14 in, 6 in, 27 in, and 42 in. How long a rod is required to supply all five pieces? Round up to nearest ten.

Long Subtraction

recorded. What is the day it was $136^{\circ} \mathrm{F}$. In the Gobi Desert a temperature of $-50^{\circ} \mathrm{F}$ was recorded. What is the difference between these two temperatures? The diver descended 15 feet below the surface of the water. Then she went down 20 more feet. What was her final elevation?

Long Multiplication

$(-5) \times 4=$ $3 \times 7=$ $8 \times 3=$ $8 \times 5=$ $(-9) \times 7=$ $(-9) \times 1=$ $9 \times 5=$ $7 \times(-6)=$ $(-9) \times(-6)=$ $7 \times(-2)=$ $4 \times 2=$ $(-1) \times 7=$ $(-1) \times 4=$ $9 \times 0=$ $5 \times(-5)=$ $(-9) \times(-4)=$ $3 \times 8=$ $0 \times 0=$ $9 \times(-3)=$ $(-6) \times 4=$

Long Division

Find the following quotient. \[ \frac{0}{-4} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The quotient is (Type an integer and simplified fraction.) B. The answer is undefined.

Dividing Using Partial Quotients Division

Divide 1308 by 4 using Partial Quotients Division method.