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Which is the last 3 digit number?

Posted on December 30, 2022 by Author

Table of Contents

  • 1 Which is the last 3 digit number?
  • 2 How do you find the last digit of 3 999?
  • 3 How to find the last two digits of \\:\\31^{76}}\\)?
  • 4 How to find the last two digits of 7964 with unit digit?

Which is the last 3 digit number?

And the maximum three digit number is 999. So, we need to count the number from 100 to 999. Now, we know that there are 100 numbers from 1 to 100 as we can count them like one, two, three …..hundred. Now, we can get a total of three digit numbers by counting the numbers from 100 to 999.

How do you find the last digit of 3 999?

And because 999 is one shy of 1000, obviously a multiple of 20, 999 is a multiple of 20 + 19, therefore 3**999 ends on the same two digits as 3**19, that is, on 67.

What are all the three digit numbers?

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Three digit numbers are from 100 to 999. We know that there are nine one-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9. There are 90 two digit numbers i.e., from 10 to 99.

What are the last two digits of 19 10 N + 9?

Calculation shows that the last two digits of 19 5 are 99. Therefore, the last two digits of 19 10 are 01. Therefore, the last two digits of 19 10 n are 01 for n ∈ N. Therefore, the last two digits of 19 10 n + 9 are same as those of 19 9, which calculation shows to be 79 (same as those of 19 4 19 5 or 19 4 99 ).

How to find the last two digits of \\:\\31^{76}}\\)?

Say we need to find the last two digits of \\({31^{76}}\\). The trick to finding the second last digit of any number ending with 1 is the UNIT DIGIT of the product of the unit digit of the power and the ten’s digit of the base. It is clear that the unit digit of the given number is 1 and we have to identify the ten’s place digit of the same.

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How to find the last two digits of 7964 with unit digit?

Convert the number by repeatedly squaring until we get the unit digit as 1, and then applying the trick of finding the last two digits of number with unit digit 1 as explained above. Therefore, the last two digits of 7964 ≡ 79 64 ≡ last two digits of (792)32 ≡ ( 79 2) 32 ≡ 4132 ≡ 81 41 32 ≡ 81

What are the last two digits of 782 and 612?

So the last two digits of 782 ≡ 78 2 ≡ last two digits of (100–22)2 ≡ ( 100 – 22) 2 ≡ last two digits of 222 22 2 Similarly, the last two digits of 612 ≡ (50 + 11)2 ≡ 112 ≡ 21 61 2 ≡ ( 50 + 11) 2 ≡ 11 2 ≡ 21

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