What is the least number that rounds to 800 when rounded to the nearest hundred?
750
what is the greatest number and least number of 8000?
To find the least number that rounds to 800 when rounded to the nearest hundred, we need to understand how rounding works. Rounding involves approximating a given number to the nearest specified place value.
In this case, we need to round to the nearest hundred. A hundred has two zeros at the end (100, 200, 300, etc.). When rounding, if the digit in the tens place is 5 or greater, we round up; otherwise, we round down. So, if we want a number to round to 800 when rounded to the nearest hundred, it must be closer to 800 than to any other hundreds.
Let's start with the number 750. If we round it to the nearest hundred, we get 800. However, since we are looking for the least number that rounds to 800, we need to check if any smaller numbers round to 800.
Moving down to 749, it rounds to 700, which is farther from 800, so it's not the answer. We continue this process until we find the least number that rounds to 800.
748 rounds to 700, 747 rounds to 700, 746 rounds to 700, 745 rounds to 700.
When we reach 744, it also rounds to 700.
However, when we reach 743, it rounds to 800. Since this is the least number in our search range that rounds to 800, the answer to the question is 743.