Multiplication is one of the basic operations in mathematics, which is used to multiply two or more numbers to get a result called product. Here, we have two numbers, 1 and 1, so we have to calculate their products. Multiplication in mathematics is usually represented by "×" symbol, or it can also be represented by "*" symbol in computer programming. So 1 times 1 can be written as 1× 1.

There are some axioms in mathematics, which are the basis of mathematical reasoning. One of them is "any number multiplied by 1 equals itself", which is called the axiom of multiplication identity. So 1× 1 equals 1, which is based on this axiom.

The practical application of 1× 1 is very extensive. In mathematics, it is one of the basic elements in the multiplication table. In real life, 1× 1 represents the number of individual units, such as a book, a TV, a car, etc. When a certain number of single machines need to be calculated, 1× 1 is often used to simplify the problem.

Mathematical significance of multiplication

1 stands for repeated addition: multiplication is the repetition of addition. For example, 2 times 3 equals 2 times 3, which means 2+2+2=6. This idea is used in mathematics to deal with repeated events and grouping.

2. Measurement and counting: Multiplication is used to measure and count the number of items. For example, there are 3 apples in each of the 5 boxes, and there are 5×3= 15 apples in total.

3. Area and volume: In geometry, multiplication is used to calculate the area and volume of a shape. For example, the area of a rectangle is equal to the width times the length, and the volume of a three-dimensional cube is equal to the cube with side length.

4. Percentages and ratios: Percentages and ratios also involve multiplication. For example, when calculating the percentage of a number relative to 100, multiply this number by an appropriate multiple.