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The last number is 9 * 7 = 63
The last number is 3*7 = 21
The last number is 1*7 = 7
That is to say, the four sevens will end up with 9-> 3-> 1->7, and so on.
97 4 = 24 Remainder 3, 1 7 is 7, 1 + 4 * 24 = 97 7 are combined, or 7
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7 97 = (10-3) 97 Using the binomial theorem, the single digit must be 3 97, and .
3 1 single digit 3;
3 2 single digit 9;
3 3 single digit 7;
3 4 single digit 1;
3 5 single digits 3;
3 6 single digit 9;
3 7 single digit 7;
3 8 single digit 1;
So the single digit is 3*3 and 96 is 3;
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3*3=9 single digits are 9 6 1 3 9 6 1 3 loops 97 4=24 and 1
So the single digit is 9
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The 1st power of 7 is 1, the 2nd power of 7 is 9, the 3rd power of 7 is 3, and the 4th power of 7 is 1
The power of 5 single digit of 7 is 1, and the power of 6 single digit of 7 is 9...
According to this law, the power of 7 to the power of 96 is 1So the power 97 digit of 7 is 7
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4 in a cycle, at the end of which is 9 3 1 7 9 3 1 7 ......There are 24 more than 1 in total, which is 9
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3*3=9 single digits are 9 6 1 3 9 6 1 3 loops 97 4=24 and 1
The book is in the single digits, and the slip is 9
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7x7=49
7x9=63
3x7=21
1x7=77x7=One vertical silver early cycle.
So the number of remaining birds in the last place is 9
Ken Bo is right.
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Summary. Dear, please wait.
78 7's are multiplied, what is the single digit of the product?
Dear, please wait.
Yes 3 This is the simple cycle.
Give me a step-by-step approach.
7 7 = 497 9 = 637 3 = 217 1 = 7 It can be seen that four is a cycle.
Still don't understand. 78 7, 78 4 = 19 ......2
Step by step, I don't understand.
That is to say, when multiplied by 4 19 = 76 7s, the single digit is 7 and then multiplied by two 7s, according to the above order, you can see why the single digit is 3 and why 4 19
Because 4 7s are a cycle.
Can you understand this?
And then it started again.
Don't look at the other digits of the product, just look at the single digits.
Forehead. Because it is always 7 multiplied by the single digit to produce the single digit.
What's next? The next step is to see how many loops there are in 78.
4 in a cycle, 78 4 = 19 ......2
There are 19 loops and 2 7's left
7 7 = 497 9 = 637 3 = 217 1 = 7 According to this law, it can be seen that the second unit digit is 3
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Hello Kai no, I'm honored to serve you, the following is my answer to your question, I hope it will help you, I don't shout 7=492, the end is 7 multiplied by the single digit there are 46 94, so the single digit adds up to 46 9=414
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Multiply 7 consecutively, and the single digit is ......
i.e., a cycle of four numbers, then, with the first one as the multiplier, the remaining 48, 48 4=24 is divisible, so the unit digit of the final product is 7
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7^50
The single digit of every four 7 phases multiplied is 1, and the unit digit of 1 and 1 multiplied by the single digit is still 1, i.e. 49 4 = 12....1
The first 48 7s multiplied by the single digit is 1, and the last 1 7 multiplied by the single digit is 7, that is, the number on the total single digit is 1*7=7
I wish my studies to improve every day, and if you don't understand, you can continue to ask me.
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The single digit is 7.
Simple algorithms. The last digit of 7x7 is 9
Then there are 24 numbers with the last digit of 9 multiplied by 7
Then the last digit of 9x9 is 1
So it's 12 numbers with the last digit of 1 multiplied and multiplied by 7
And then the last digit is 7
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In this problem, the single digit of the 4 7s is repeated, that is, 7 9 3 1, and from the fifth digit it it is 7 9 3 1That is, 4 7s are multiplied into a cyclic section, so that 7777 4 = 1944, and the remainder is 1. This shows that:
7777 7's are multiplied and the single digit is 7.
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Analytical Vertical Process 46 77
Problem solving ideas: first align the last digit of the two multipliers, and then use the second start and annihilation multiplier respectively, multiply a multiplier for each number from the last digit in turn, and finally add up the calculated result as the product, if the multiplier is a decimal number, you can first expand it to the corresponding multiple, and finally the product is to reduce the corresponding multiple;
Problem solving process: Step 1: 7 46 = 322
Step 2: 7 46 = 3220
According to the above calculations, the result is added to the band index 3542
Check: 3542 77 = 46
Extended Information - > Check Results: Dividend.
The divisor is performed from each digit from the high position, and the quotient obtained by each calculation is reserved and the remainder is retained.
Add the next digit to the operation, and the divisor will be divided into digits in this order, and the obtained quotient will be combined in order, and the remainder is the result of the last operation.
Problem solving: Step 1: 354 77=4 The remainder is: 46 Step 2: 462 77=6 The remainder is: 0
According to the above calculation steps, the combination result is 46, the remainder is 0, please ask if you are in doubt, satisfied.