We have two numbers, one is 7 1×★ and the other is 7 1×(★+4).

We need to find out the difference between these two numbers.

Suppose the value of ★ is x.

According to the topic, we can get the following expression:

1, the first number is 71× x.

2. The second number is 7 1×(x+4).

The value of the phase difference is the difference between them, namely:

Difference =|7 1×(x+4)-7 1×x|.

So we can calculate the difference between these two numbers.

The calculation result is: difference =284.

This result tells us that when the value of ★ increases by 4, 7 1 multiplied by this value will increase by 284. This difference may be caused by the mathematical relationship between 7 1 time and 7 1 time (★+4), that is, multiplication and division.

Multiplication and division is a basic mathematical theorem, which tells us that a× (b+c) = a× b+a× c, in this problem, a=7 1, b=★, and c=4. So according to the law of multiplicative distribution, we can get 71× (★+4) = 71×★+71× 4. That's why the difference between the two numbers is 284.

In practical application, this difference may affect our calculation and judgment of some problems. For example, if we do budget or financial analysis, the difference between the estimated value and the actual value may have a greater impact on the results. Therefore, we need to have a clear understanding of this issue in order to make a correct decision when necessary.

Multiplication distribution rate meaning:

The law of multiplication and distribution is a basic mathematical theorem, which describes the operation rules of multiplying the sum of two numbers with one number. Specifically, the law of multiplication and distribution is the sum of two numbers multiplied by one number. You can multiply them by this number first, and then add up the products.

The multiplication and division method can be expressed by letters as: (a+b)×c=a×c+b×c, where a, b and c are arbitrary real numbers. It can also be expressed in words: the sum of two numbers multiplied by a number is equal to the two numbers multiplied by this number respectively, and then the products obtained are added.

Multiplication and distribution law is widely used in mathematics. It is not only suitable for the calculation of integers, decimals and fractions, but also suitable for the multiplication of multiple numbers. When calculating the product of multiple numbers, we can use the law of multiplication and distribution to decompose them into the sum of several numbers, then multiply them separately, and finally add the products, which can make the calculation more convenient.

The law of multiplication and distribution can also be reversed. That is, a number multiplied by the sum of two numbers is equivalent to multiplying this number by these two numbers respectively, and then adding the products. This inversion can be used to solve some mathematical problems, such as calculating combination or decomposition factors.