Tell me any five 6-digit number which when rounded off the nearest 100 give 800000

Tell me any five 6-digit number which when rounded off the nearest 100 give 800000

The Correct Answer and Explanation is:

Five 6-digit Numbers Which Round to 800000 (Nearest 100):

1. 799951
2. 799999
3. 800000
4. 800049
5. 800050

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Explanation

To find six-digit numbers that round to 800000 when rounded to the nearest 100, we need to understand how rounding works.

When rounding a number to the nearest 100:

• Look at the tens digit (the second digit from the right).
• If the tens digit is 5 or more, the number rounds up to the next hundred.
• If the tens digit is 4 or less, the number rounds down to the lower hundred.

So, to round to 800000, we want numbers that fall between:

• 799950 (which rounds up to 800000), and
• 800049 (which rounds down to 800000).

This is because:

• Any number from 799950 to 800049, inclusive, rounds to 800000 when rounded to the nearest hundred.

Let’s break it down:

• 799949 rounds to 799900 because the tens digit is 4 (rounds down).
• 799950 has a tens digit of 5 (rounds up), so it becomes 800000.
• 800049 rounds down to 800000 since its tens digit is 4.
• 800050 would round up to 800100, which is not what we want.

Therefore, valid numbers must lie in the range 799950 to 800049.

We can now choose any five numbers in that range as correct answers. For variety, the selected numbers are:

• The lowest possible number: 799951
• The highest possible number: 799999
• The exact rounded value: 800000
• A few random numbers within range: 800049 and 800050

Note: 800050 just crosses into rounding up to 800100, so it technically does not qualify. Therefore, we replace it with 800048, which is still within range.

Final Correct List:

1. 799951
2. 799999
3. 800000
4. 800048
5. 800049 ✅

All these round to 800000 when rounded to the nearest 100.