突变的

The commutative property of addition allows us to add numbers in any order and still get the same result.
加法的交换律允许我们以任何顺序相加数字，结果保持不变。
In mathematics, the multiplication of real numbers is commutative; that is, 5 times 3 equals 3 times 5.
- 在数学中，实数的乘法是交换的；也就是说，5乘以3等于3乘以5。
The equation a + b = b + a demonstrates the commutativity of addition.
等式a + b = b + a展示了加法的交换性。
Although subtraction is not generally commutative, addition and multiplication are.
虽然减法通常不具有交换性，但加法和乘法是交换的。
The commutative law does not apply to division; dividing 10 by 2 does not yield the same result as dividing 2 by 10.
- 交换律不适用于除法；10除以2的结果与2除以10不同。
Understanding the commutative property helps children grasp fundamental concepts in arithmetic.
理解交换性质有助于儿童掌握算术的基本概念。
Commutative operations make certain algebraic manipulations simpler and more intuitive.
交换运算使某些代数操作更简单、更直观。
The concept of commutativity is a cornerstone in the study of abstract algebra.
交换性的概念是抽象代数研究的基石。
When teaching basic math, emphasizing the commutative property can help students memorize arithmetic facts more easily.
在教授基础数学时，强调交换性可以帮助学生更容易地记住算术事实。
Not all mathematical operations are commutative; for example, matrix multiplication is generally not commutative.
并非所有数学运算都是交换的；例如，矩阵乘法通常是不交换的。