Use the clues to find the correct answer: I am rounded to the nearest hundred and am 900. I am odd, and my tens digit is even. What number am I?

Mathematics · High School · Thu Feb 04 2021

Answered on

To find the number based on your clues, we'll tackle each clue one by one:

1. mentioned number is rounded to the nearest hundred and is 900. This means the actual number could be any number from 850 to 949, because these numbers would all round to 900 when rounding to the nearest hundred.

2. You say the number is odd. An odd number has a last digit of 1, 3, 5, 7, or 9. Considering the range from 850 to 949, we can then narrow it down to numbers ending in 1, 3, 5, 7, or 9, because those would be the odd numbers.

3. The tens digit is even. This tells us that the tens place could be 0, 2, 4, 6, or 8. Now we need to look at numbers that are within 850 to 949, odd, and have an even tens digit.

Combining all these clues, we can deduce the tens digit could be 0, 2, 4, 6, or 8 and the ones digit can be 1, 3, 5, 7, or 9. The hundreds digit is already given as 9 due to the rounding clue.

So the number could be:

851, 853, 855, 857, 859, 871, 873, 875, 877, 879, 891, 893, 895, 897, or 899.

Among these, 899 is the largest odd number with an even tens digit that would still round to 900 when rounded to the nearest hundred. Therefore, based on your clues, the number you are looking for is 899.