To the nearest ten thousand, I round to 80,000. I round to 81,000 when rounded to the nearest thousand, and to 82,000. when rounded to the nearest hundred. To the nearest ten, I round to 81,220. I am a palindrome too.what number, am I?
Answers
Step-by-step explanation:
Rounding off to the nearest ten thousand (10,000):
If the digit in the thousand’s place in a number is 0, 1, 2, 3 or 4 then round to the nearest multiple of ten thousand which is smaller than the given number.
If the digit in the thousand’s place in a number is 5, 6, 7, 8 or 9 then round to the nearest multiple of ten thousand which is greater than the given number.
Thus, to round off numbers to the nearest ten thousand look at the digit in the one thousands place.
For example, round the following numbers to the nearest ten thousand
T. Th Th H T O
4 6 2 7 9 → 50000
8 0 1 5 3 → 80000
6 5 0 0 0 → 70000
9 6 2 5 1 → 100000
8 3 1 0 1 → 80000
Given: To the nearest ten thousand, I round to 80,000. I round to 81,000 when rounded to the nearest thousand, and to 82,000 when rounded to the nearest hundred. To the nearest ten, I round to 81,220. I am a palindrome too.
To find: The number.
Solution:
The given number is a palindrome. This means that if the number is written backward, it gives the same number. Since the number rounds off to the nearest ten thousand as 80,000, the number has 8 in its ten-thousands and ones place.
The numbers rounds off to the nearest thousand as 81,000 and so, the number has 1 in its thousands and tens place. As evident from the rounded-off value to the nearest ten, the digit in the hundreds place of the number is 2. So, the number is 81,218.
Therefore, the number is 81,218.