What is the single digit of the product of 200 2s multiplied?

The process is as follows:

Find the pattern first: 2 1 = 2 (single digit is 2).

2 2 = 4 (single digit is 4).

2 3 = 8 (single digit is 8).

2 4 = 16 (6 in the single digit).

2 5 = 32 (single digit is 2).

2 6 = 64 (single digit is 4).

It can be seen that the law of single digits is a cycle of 4, and the multiplication of 100 2s is 2 100, which is exactly the last of the 25th group, so the single digit should be 6.

Upstairs, 5 2's are 32

Multiplying a 2 is 2

Two multiply by 4 and three by 8

Four multiply 16, and the end 6 and five 32

Four one cycles, 2, 4, 8, 6 cycles at the end.

Other words. Everything that is a multiple of 4 is multiplied by 2, such as 4, 8, etc., at the end of 6200 4 = 50, and 200 is also a multiple of 4, so the end is 6

2*2=4*2=8*2=16*2=32 From this formula, it can be seen that the single digit of the product of 4 2s multiplied is 2, and 200 2s can be divided into 200 4=50 divisible That is, the single digit of 200 multiplied by 2 is 2

Since they are all multiples of 2, the single digits can only be produced in 2, 4, 6, and 8.

It can be seen as the multiplication of 100 4s, and the single digit is in 4 and 6, and it can be seen as the multiplication of 50 16s, and its single digit is also a number ending in 6.

So the single digit of 200 multiplied by 2 is 6

Multiplying 200 2's is multiplying 100 4's, which means multiplying 50 16s.

No matter how many 16s are multiplied, the last digit is 6ok

Analysis: There are too many numbers of 2 multiplied to be completely calculated and then look at the single digits. There must be some kind of law in this, so we must first find out the law of multiplying the single digits. The specific process is as follows:

Since 2 1 = 1, 2 2 = 4, 2 3 = 8, 2 4 = 16, 2 5 = 32, 2 6 = 64 ,..., that is, the single digit of the product of several phases is cycled according to the four numbers of 2, 4, 8, and 6

100 4 = 25, that is, the unit digit of the product of 100 multiplied 2s is 6

A: The single digit of the product is 6

...n...1...2...3...4...5

A single digit of 2 n. 2...4...8...6...2, it can be seen that the single digit of 2 n takes 4 as the period, 100 = 4*25, so 100 2s are multiplied, and the single digit of the product is 6

Answer: 100 4 = 25, the single digit of the product is 6.

Because from the 1st power of 2 to the 4th power of 2, the single digit of the product is 2, 4, 8, 6. Cycle in turn after that.

Multiply 100 2s and the single digit of the product is 6.

According to the title, it can be obtained:

Therefore, the number in the single digit is 0

Multiply one hundred 2s and the single digit is 6.

It's six euros, you can look at the rules.

It should be 6 yo.

There are cycles of 2, 4, 8, 6.

Multiply 100 2s and the product is 6, 2 1 = 2 (2 single digits), 2 2 = 4 (4 single digits), 2 3 = 8 (8 single digits), 2 4 = 16 (6 single digits), 2 5 = 32 (2 single digits), 2 6 = 64 (4 single digits).

It can be seen that the law of single digits is a cycle of 4, and the multiplication of 100 2s is 2 100, which is exactly the last of the 25th group, so the single digit should be 6.

Ways to find patterns:

1. Mark the serial number: to find the problem of zd law, usually give a series of quantities in a certain order, and require us to find out the general law according to these known quantities. Find out the pattern, usually the package serial number.

Therefore, it is easier to find the mystery when you compare the variables and serial numbers together.

2. Fibonacci number sequence: Each number is the sum of the first two numbers.

Multiply 100 2s and the product is 6, 2 1 = 2 (2 single digits), 2 2 = 4 (4 single digits), 2 3 = 8 (8 single digits), 2 4 = 16 (6 single digits), 2 5 = 32 (2 single digits), 2 6 = 64 (4 single digits).

It can be seen that the law of single digits is a cycle of 4, and the multiplication of 100 2s is 2 100, which is exactly the last of the 25th group, so the single digit should be 6.

Ways to find patterns:

1. Mark the serial number: to find the problem of zd law, usually give a round wax series in a certain order, and require us to find out the general law according to these known quantities. Find out the pattern, usually orange cheats slippery bag special serial number.

Therefore, it is easier to find out the mystery when you compare the variable and the serial number on the same ridge.

2. Fibonacci number sequence: Each number is the sum of the first two numbers.

2 is a code and an even number, and the single digit number multiplied by 2 is an even number; The even numbers in the single digit are 0,2,4,6,8;

All == So, multiply 2 by how many, and the number in the unit digit is 0, 2, 4, 6, 8

The digits on the unit have .

Analysis: Because 2 is an even number, no matter how many blind socks are multiplied, it is an even number.

If multiplied by 0, the product is 0

The depressed thought to the single position only grinding the cover to stimulate the energy is

It's a one-digit number, and there's a lot of it. Love. Chen Lin's single-digit number is zero. 2 1 If the number of the slow sail on the single digit is 2 2, the number of you is four.